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Paper Citation Record · LEDGER

When does a tree activate the random graph?

As of 7 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 1 inbound Pith citation observation for arXiv:2507.05697.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.05697 v1

Coverage vector

measured 67 of 67 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:41:01.539676Z

measured 68 of 68 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:02:29.579908Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-05T16:02:29.669103Z

Reference resolution

67 of 67 outbound references displayed

  • verified exact7
  • verified fuzzy54
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 21279f3a-5e0e-479d-8644-5964bfe6b54d · outbound

This paper cites Adler, U.

When does a tree activate the random graph? Adler, U

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.413758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:40:59.994330Z digest=sha256:0f0fe60894ad13bcbd6d4dc8e072341dba4d1cf5d888d73ba1c066db934c9cd2

Observation 82d87b89-0622-4fca-876b-0d95d87cd954 · outbound

This paper cites Aizenman, J.L.

When does a tree activate the random graph? Aizenman, J.L

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.402466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:00.075914Z digest=sha256:0e165ec4265bcb0c5f94bcb40a5d1ade4f6c12e64aac3ecef628979bc82b4d96

Observation 9da0a727-0a7d-460b-9ba8-a130faf295d1 · outbound

This paper cites Ajtai, J.

When does a tree activate the random graph? Ajtai, J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.390060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:00.200446Z digest=sha256:3dd72b58fb326306374d5733879791f238d3b2f4893e48e2ec187db64618b660

Observation 63120782-63e1-4431-8801-bc82dad8f4d6 · outbound

This paper cites Alon, An extremal problem for sets with applications to graph theory , Journal of Combina- torial Theory, Series A, 40 (1985) 82–89.

When does a tree activate the random graph? Alon, An extremal problem for sets with applications to graph theory , Journal of Combina- torial Theory, Series A, 40 (1985) 82–89

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.378775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:00.323231Z digest=sha256:99117e8fbaed8406cfd654a8224c70b9708c0fae78c5c28221af28a839a745da

Observation 026d7923-9de5-497f-ae1d-b264a1e85442 · outbound

This paper cites Ascoli, X.

When does a tree activate the random graph? Ascoli, X

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-06T19:41:00.424606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:41:00.424606Z digest=sha256:18a5b565a26e4f8f8015ffaadad65658fb31274ffdbdfcb3924977fc10e2d796

Observation b8f9a28c-14de-49df-af2f-de1aa5f6dffc · outbound

This paper cites Fundamental Groups of Random Clique Complexes.

When does a tree activate the random graph? Fundamental Groups of Random Clique Complexes

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:41:01.678801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:00.512609Z digest=sha256:08bfeb0e0ffa5ee256ddcd944a6973216177762d46ef57da0d253ac959df5c9e

Observation a90d1fc3-e8c8-4e58-9545-90d9a1f698e2 · outbound

This paper cites Babson, C.

When does a tree activate the random graph? Babson, C

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.366922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:00.600504Z digest=sha256:1957d09d10af1c328da3b3f60e418aae2beb7a9db21c946cdcd52111b160631c

Observation 0bd75418-eecc-4fb1-9944-94beef60f5e7 · outbound

This paper cites Balogh, B.

When does a tree activate the random graph? Balogh, B

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.354721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:00.704123Z digest=sha256:472cda7038c8075223ea3bf14207c0e872f79325917a872dbca66dc27f685214

Observation c3ac6f7f-704c-4703-a6a8-e9074a7b2dc0 · outbound

This paper cites Balogh, B.

When does a tree activate the random graph? Balogh, B

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.343156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:00.815519Z digest=sha256:70f7d0d80a6beb448903414336636b722c8d5c793b78fc6be654c25389c7b0f7

Observation 51d0acde-349d-42a8-812f-b3c565cd87ff · outbound

This paper cites Baron, J.

When does a tree activate the random graph? Baron, J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.331232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:00.926370Z digest=sha256:81d28d4fb4fcdc1159b302320de5738dbc99eb426ab62306b9609dc3cc4930eb

Observation 98265ba1-5521-4e0c-9ee4-521a31bed6f9 · outbound

This paper cites Bartha, B.

When does a tree activate the random graph? Bartha, B

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.319993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.005645Z digest=sha256:aa258fcb59fd3a2285427cda6079df071ba9f1af29dde8fa504e5e7df2ca4b88

Observation e5f50236-7644-4044-b9b1-7982e6f50fa4 · outbound

This paper cites Bernardi, ´E.

When does a tree activate the random graph? Bernardi, ´E

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.308721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.105146Z digest=sha256:decb6fda4a7895f4c5ee99dae69a19eaa17b2d926cbebf045ffd9736d988c413

Observation 77d70494-a588-4a76-b6b1-ebb32316feda · outbound

This paper cites Bidgoli, A.

When does a tree activate the random graph? Bidgoli, A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.297196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.183362Z digest=sha256:4f4696677bc07be161fff41ded711f86fc923471e95fa7d25f674c3a904a1792

Observation 7b709cc1-aae0-469b-929a-a0aee900dc1a · outbound

This paper cites Bollob´ as,Random graphs, second edition, Cambridge University Press, 2001.

When does a tree activate the random graph? Bollob´ as,Random graphs, second edition, Cambridge University Press, 2001

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.285696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.278599Z digest=sha256:48fdd2c1ac3f0a746ba726cc2aafd132d2751477de7ecbc46cbd20a09bbf104c

Observation 6bf01154-8400-4304-9938-39fde5fe6954 · outbound

This paper cites Bollob´ as, The evolution of sparse graphs , Graph theory and combinatorics (Cambridge, 1983), Academic Press, London, (1984) 35–57.

When does a tree activate the random graph? Bollob´ as, The evolution of sparse graphs , Graph theory and combinatorics (Cambridge, 1983), Academic Press, London, (1984) 35–57

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.274243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.370272Z digest=sha256:4ac4898f2ae5ac31f72d451afd1562a013c4489b70a28f92d0c13e0c95680f90

Observation 56308bf7-c0e9-4f52-a40a-4920d0b67171 · outbound

This paper cites Bollob´ as,Weakly k-saturated graphs, Beitr¨ age zur Graphentheorie (Kolloquium, Manebach, 1967), Teubner, Leipzig (1968) 25–31.

When does a tree activate the random graph? Bollob´ as,Weakly k-saturated graphs, Beitr¨ age zur Graphentheorie (Kolloquium, Manebach, 1967), Teubner, Leipzig (1968) 25–31

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.261590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.375496Z digest=sha256:fe2d1e85c17fb52fe3357542e09ca6271a108951d8a6985b5e6dba395ca297e3

Observation 33e778dc-a3d3-42af-b2f1-77f92fb0c5f9 · outbound

This paper cites Brightwell, K.

When does a tree activate the random graph? Brightwell, K

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.249257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.379032Z digest=sha256:c59ca202e208d0e6fc54b055589be2f6d19ddd5baa828ef88b75c3b78ed0cf53

Observation 483fda9a-6cec-4e15-9b79-b3f75282beb8 · outbound

This paper cites Bulavka, M.

When does a tree activate the random graph? Bulavka, M

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.237128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.382166Z digest=sha256:c51bee0b8e5d93435e7bcd6aad4a6a292812217ecec026ced5a212ae2a5f13d9

Observation c803c86e-3fde-48ea-a79b-0f6dd435fc34 · outbound

This paper cites an unresolved cited work.

When does a tree activate the random graph? Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:41:02.225133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.385396Z digest=sha256:a5586e71cad94d02ac9eaf1af83f4fcded91e3a4d046a63ef410d415f64c5d9d

Observation 69a51417-0c0b-4dbc-b0cb-eb842377be5d · outbound

This paper cites Conlon, W.

When does a tree activate the random graph? Conlon, W

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.213471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.389032Z digest=sha256:82fb722512d5de58540fc2a37dbc4d3c2f07c9af9b86daf4918fa934ce2ca5c7

Observation aec5f165-ed07-487a-9ff4-e36607f63183 · outbound

This paper cites Costa, M.

When does a tree activate the random graph? Costa, M

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.202122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.392211Z digest=sha256:585b24cd6356f0bca4970014645d2c0b27c77637cde5e23b9c9a832703183d45

Observation 3c039409-181f-4299-aa94-e82e4af46c17 · outbound

This paper cites an unresolved cited work.

When does a tree activate the random graph? Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:41:02.191302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.395578Z digest=sha256:923f210c37b1e637403dbbcb118b8ef8660009961a8061ddc32942c7f4ce0f23

Observation 91030598-4baf-4ee9-a520-3c1b94a737ed · outbound

This paper cites On the triangle space of a random graph.

When does a tree activate the random graph? On the triangle space of a random graph

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:41:01.662785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.398790Z digest=sha256:608433715f767ede5a7bc78a353908e7b36ea4ba8ab1f238d4cbe8c56494b26f

Observation be09fe7f-0a0a-4a7c-8f2c-54c299ae281c · outbound

This paper cites DeMarco, J.

When does a tree activate the random graph? DeMarco, J

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.180471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.402040Z digest=sha256:e50f6631e45a77910af4f9f3e69cbce90595844f65b406c15a5c5cbcd9206034

Observation 656d535a-b670-4f06-be30-526b82b560bb · outbound

This paper cites On the $H$-space of a random graph.

When does a tree activate the random graph? On the $H$-space of a random graph

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:41:01.647477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.405099Z digest=sha256:bfad114172277ec7ad9a672f5cb8f7eda82c1ae15763a5c2c87830d7256d6a76

Observation 5ea4ab46-1728-451a-a7b2-80d14bbb2d90 · outbound

This paper cites Erd˝ os, Z.

When does a tree activate the random graph? Erd˝ os, Z

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.169255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.408512Z digest=sha256:be4b716ce8be6a98f5f42c1f5da98c1928ab7bb47f298a399d997355db52ee21

Observation 0d130292-377a-4990-a00e-4765f4f7b78d · outbound

This paper cites Faudree, R.J.

When does a tree activate the random graph? Faudree, R.J

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.158945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.411583Z digest=sha256:f5b0462c653d018122c5d9b8b5069404660476427a3d7c20a528b9d012a7c86b

Observation 535a7d2b-0884-4337-af75-537dfba101a9 · outbound

This paper cites Fontes, R.H.

When does a tree activate the random graph? Fontes, R.H

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.148293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.415050Z digest=sha256:664a553000c32ba6c3b90e5738d5921d51a44af69f5d3280f847b9fbd6a9e6cc

Observation 542d4d21-7ccd-46d9-be44-86d066b97ed1 · outbound

This paper cites Frankl, An extremal problem for two families of sets, European J.

When does a tree activate the random graph? Frankl, An extremal problem for two families of sets, European J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.137025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.418328Z digest=sha256:92ecad11f5bc63a189899580cf930fc95b776b9891734b6a2a69c8ded98f9743

Observation b7ad477c-7153-471c-bc72-4e9b897af29d · outbound

This paper cites Frieze, M.

When does a tree activate the random graph? Frieze, M

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.126324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.421406Z digest=sha256:7ed3a85bdefcd5bfc6d84774b608cd753a8086ec1247e2cbf83261693f3da461

Observation 52ff7ce6-b945-469d-bbcb-db5808e22b6b · outbound

This paper cites Gravner, A.E.

When does a tree activate the random graph? Gravner, A.E

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.115666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.424927Z digest=sha256:2ef1a82cb6b1078a4a57e154a244c07ed62307bb6459009f6d939cc7e1f99c85

Observation 973638aa-fb42-47d6-9ec2-c98f6dfff0cb · outbound

This paper cites Gravner, A.E.

When does a tree activate the random graph? Gravner, A.E

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.105178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.427993Z digest=sha256:c9606018e141e5b2086411f6107865e28d8eb7cc6f2e09adb55fcec5535993c8

Observation 933412b4-c333-449f-9bcf-4d0b9320321f · outbound

This paper cites Gravner, B.

When does a tree activate the random graph? Gravner, B

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.094398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.430964Z digest=sha256:2867a1de7e345d810b828029cd461fbf1862ef9af2eac5733371da16109ef97a

Observation f7f80b03-9a7c-4c29-bb0a-d34f6c8fd811 · outbound

This paper cites Gravner, E.

When does a tree activate the random graph? Gravner, E

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.083605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.433938Z digest=sha256:18ed55f39e0587eb50b849830df6d6dffd3bb80dac2366ffa23a10bec09b7143

Observation ec02a631-1051-4a9a-bdc6-5bb693834bbb · outbound

This paper cites Gromov, Hyperbolic groups, in Essays in group theory, ed.

When does a tree activate the random graph? Gromov, Hyperbolic groups, in Essays in group theory, ed

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.073026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.437281Z digest=sha256:7619f3a5a3621fc5fd4a65b1ed6e61fdd8ccbe19ed7fd0862bd8a38fddfb8ef9

Observation 272624b4-b353-48cf-bd1f-145415b95bec · outbound

This paper cites Simonovits's theorem in random graphs.

When does a tree activate the random graph? Simonovits's theorem in random graphs

Reference 36

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:41:01.632474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.440508Z digest=sha256:3ffa84bfd644cb9f8d5d4d0aad9b6350b3925344a228de889f4e3ccdf893bb7b

Observation ed3fd181-f5b2-43cd-a6eb-28a9299d9b16 · outbound

This paper cites Stability of large cuts in random graphs.

When does a tree activate the random graph? Stability of large cuts in random graphs

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:41:01.617191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.443833Z digest=sha256:1e223aa958754543122e6d21581080b9a5351bb93d429b10785136b58aa99b87

Observation 8558b6eb-4674-45ba-af24-90ec2c44970d · outbound

This paper cites Janson, T.

When does a tree activate the random graph? Janson, T

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.062408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.447543Z digest=sha256:aa567541e71a54595d1f5fc008a128c7a175508befad1831bb03db8615ff874b

Observation 70cd6e39-11ee-4503-bb02-2e7df0dffd45 · outbound

This paper cites Kahle, Topology of random clique complexes , Discrete Math., 309:6 (2009) 1658–1671.

When does a tree activate the random graph? Kahle, Topology of random clique complexes , Discrete Math., 309:6 (2009) 1658–1671

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.051972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.450696Z digest=sha256:9ba8727ac47a09dfdb5ee286d1aa71136d6dd6bb65a2e1f05f8ae95b8fda4d93

Observation 58a106c0-1e41-494c-a443-ffd78bcf7bcc · outbound

This paper cites Kalai, Hyperconnectivity of graphs, Graphs Combin., 1 (1985) 65–79.

When does a tree activate the random graph? Kalai, Hyperconnectivity of graphs, Graphs Combin., 1 (1985) 65–79

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.041398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.453865Z digest=sha256:eff6f27fff3d019ed600078599d06fc1ed2ed69bba5924909b447b648b4e2727

Observation cab788ce-b904-4095-82e4-e7e0477ac7f5 · outbound

This paper cites Kalai, Weakly saturated graphs are rigid, in: Convexity and graph theory (Jerusalem, 1981), North-Holland Math.

When does a tree activate the random graph? Kalai, Weakly saturated graphs are rigid, in: Convexity and graph theory (Jerusalem, 1981), North-Holland Math

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.030904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.457039Z digest=sha256:03de61738f20d74be86f2512a4c04604e05626a81416a59e114d78df4aa207aa

Observation 1800d65e-c99a-4bc4-b250-c2410dc2b3d0 · outbound

This paper cites Weak saturation numbers in random graphs.

When does a tree activate the random graph? Weak saturation numbers in random graphs

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:41:01.601159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.460319Z digest=sha256:ace7309a895341346116ab77bdc23c7e248604a9dc82fe756fa070679d331c8a

Observation 6ed682d5-147e-4b5b-b664-3430ada4e4a8 · outbound

This paper cites Kalinichenko, M.

When does a tree activate the random graph? Kalinichenko, M

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.020473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.464334Z digest=sha256:6fe13580d293e81dfbc42a3134d0448a2c30f40692a8a0dbe13b832c04885797

Observation 592f01a3-4e4e-4e17-97eb-e8300f388bbe · outbound

This paper cites Koml´ os, E.

When does a tree activate the random graph? Koml´ os, E

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.009945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.467556Z digest=sha256:9448fda714560c28b584448513ad1cd00ee322ffec93e2dc98790b92b00981d3

Observation 2c1c89f3-43aa-4739-8228-1f0434f694b7 · outbound

This paper cites Kor´ andi, Y.

When does a tree activate the random graph? Kor´ andi, Y

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.999409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.470380Z digest=sha256:5f4bd5c013e27cf37eb737ade6033ee6dc0da39689cf798fec0b16f4c3db3570

Observation 4dd2d87f-bfa5-4d32-b6e7-68537e9dc1f9 · outbound

This paper cites Kor´ andi, B.

When does a tree activate the random graph? Kor´ andi, B

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.988696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.473472Z digest=sha256:dc5b3fa83f4549a3f17782cd04afcc9930ec57e24dc4204ec3d050756c0853c3

Observation 8a24bcff-67a3-45bb-b03f-b96df245f302 · outbound

This paper cites an unresolved cited work.

When does a tree activate the random graph? Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:41:01.978245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.476488Z digest=sha256:a040acf849bd80ac12efe13a708ac002fa537f85dfdddf975c6d3b38a3c739a0

Observation d6f1318c-0aa2-47b8-ba3c-d69a2c691159 · outbound

This paper cites Krivelevich, G.

When does a tree activate the random graph? Krivelevich, G

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.967919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.479621Z digest=sha256:c723121bacba40b74ce4cce20f1b3f1e5e399eb60ebd33b22fdbbfefbe05bdd2

Observation d7dc59a5-3143-4a15-8092-12876043ca5b · outbound

This paper cites Kronenberg, T.

When does a tree activate the random graph? Kronenberg, T

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.957581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.482923Z digest=sha256:31c3bd04a72f2b48ed490553c1d099bda8b321a37cbc30db8a8b913e0f615dd6

Observation 0ba8adc2-9e13-456e-a0df-22cf0ccd5509 · outbound

This paper cites Morris, Bootstrap percolation, and other automata, European Journal of Combinatorics, 66 (2017) 250–263.

When does a tree activate the random graph? Morris, Bootstrap percolation, and other automata, European Journal of Combinatorics, 66 (2017) 250–263

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.947064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.485959Z digest=sha256:230c0ec8cf8eecb8c9107e9425d029ab7109a1856fe83ff852905dbb749796c6

Observation 53b74345-7607-4ffa-8995-11e45df3183f · outbound

This paper cites Morris, Zero-temperature Glauber dynamics on Zd, Probab.

When does a tree activate the random graph? Morris, Zero-temperature Glauber dynamics on Zd, Probab

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.936715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.488940Z digest=sha256:745f50a6f085759a898b52c93b6266b4f21b95a864094ae988383c14483cb4dd

Observation bd810cae-70ea-44f6-91bf-78a9da045d28 · outbound

This paper cites Morrison, J.

When does a tree activate the random graph? Morrison, J

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.925494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.491910Z digest=sha256:50e6445eb96bb773feb49f5198be43a7837b9a61c7e5842df93421d57537153b

Observation 09db5ef4-66f9-4d94-b725-49b9945ca65c · outbound

This paper cites Morrison, J.

When does a tree activate the random graph? Morrison, J

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.914815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.495099Z digest=sha256:46b5f984e1367e533b49969e801e190e8871a4e9a73f18b13446641b5f6b3167

Observation bc1c9ba1-3bd4-4ca6-bd49-ccaa8c7a9610 · outbound

This paper cites Moshkovitz, A.

When does a tree activate the random graph? Moshkovitz, A

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.903904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.498445Z digest=sha256:d30fa25b9a408fb89ab6d050b27cfc515e44e6044823f5b64bcb12eaff1c67c5

Observation f03b07cc-2dca-48b9-92d6-076e37554210 · outbound

This paper cites O’Connell, Some large deviation results for sparse random graphs , Probab.

When does a tree activate the random graph? O’Connell, Some large deviation results for sparse random graphs , Probab

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.892845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.501504Z digest=sha256:b04004f17f47aba63e837c1e189a0f55fc06a0c61d8aff8ffffbed5dddde382c

Observation 6d72bc03-395a-4c2f-8955-977f8cabdd63 · outbound

This paper cites Pikhurko, Extremal hypergraphs, PhD thesis, University of Cambridge, 1999.

When does a tree activate the random graph? Pikhurko, Extremal hypergraphs, PhD thesis, University of Cambridge, 1999

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.881201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.505085Z digest=sha256:b94ab4c1abbb8403c81ba7d0b4d29915cc9aa7fa60903d46c835287cb6f03f2c

Observation 4a082663-88c4-493c-92cc-48278ccad138 · outbound

This paper cites Pikhurko, Weakly saturated hypergraphs and exterior algebra , Combin.

When does a tree activate the random graph? Pikhurko, Weakly saturated hypergraphs and exterior algebra , Combin

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.870489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.508225Z digest=sha256:5c0c2e46f66c192efba62cf6c3079d67169d8ae5808b8d026347b13a4cf223b5

Observation 202b2f9c-5661-43dd-a8b7-2d0acb3731cc · outbound

This paper cites Schacht, Extremal results for random discrete structures , Annals of Mathematics, 184:2 (2016) 333–365.

When does a tree activate the random graph? Schacht, Extremal results for random discrete structures , Annals of Mathematics, 184:2 (2016) 333–365

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.859255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.511269Z digest=sha256:3edfa6eb57a7727b7d3a08e8da780e119a1043e28783bca0fafa84c809e936d7

Observation 8c8d6181-c915-408c-94ad-1b818665ef71 · outbound

This paper cites Shapira, M.

When does a tree activate the random graph? Shapira, M

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.848519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.514255Z digest=sha256:d97ab58ea036c869ca44a1fc2047731bed7a3b426967ebe3e6046d21c840544a

Observation 0f84e7f1-7c6a-48fa-9e25-e681356116d9 · outbound

This paper cites Spencer, Counting extensions, Journal of Combinatorial Theory, Series A, 55:2 (1990) 247– 255.

When does a tree activate the random graph? Spencer, Counting extensions, Journal of Combinatorial Theory, Series A, 55:2 (1990) 247– 255

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.836797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.517487Z digest=sha256:98af8538d707322097244c45e17503f0a19adf09a88be008b72914a65ecc6909

Observation d208afee-2e1b-401d-8d5a-6bf3bd9b7c43 · outbound

This paper cites A short proof of Tuza's conjecture for weak saturation in hypergraphs.

When does a tree activate the random graph? A short proof of Tuza's conjecture for weak saturation in hypergraphs

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-06T19:41:01.520618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:41:01.520618Z digest=sha256:682e93a84ab0b31877ff068cf571609839bf3c855f1a52f5e8bc0d76d4b15feb

Observation ba7bec13-6ff2-4b9f-a70d-6f8e38e478a7 · outbound

This paper cites Terekhov, M.

When does a tree activate the random graph? Terekhov, M

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.824350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.523794Z digest=sha256:04d8d897be904175429440602b22e883df113811ce7f70575f6642e3df347dc1

Observation 7689d68e-0a16-42b2-821b-9ff286ad17e6 · outbound

This paper cites Weak saturation rank: a failure of linear algebraic approach to weak saturation.

When does a tree activate the random graph? Weak saturation rank: a failure of linear algebraic approach to weak saturation

Reference 63

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:41:01.572364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.526978Z digest=sha256:9ba8afae730b67c06515ff0ad1097b81b04ea8514e3e9cf639cc5d5017ffd684

Observation 2d54cca2-0da8-4d60-baa1-0ad861120c2a · outbound

This paper cites an unresolved cited work.

When does a tree activate the random graph? Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:41:01.813035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.530213Z digest=sha256:c4f434f8a8c763baefeb3094152ca75fac46eda689db30e521755f7384ec27a0

Observation 477b3d3a-e46e-4a43-93f5-c104b5317554 · outbound

This paper cites von Neumann, Theory of Self-Reproducing Automata , Univ.

When does a tree activate the random graph? von Neumann, Theory of Self-Reproducing Automata , Univ

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.801843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.533364Z digest=sha256:4c6cf0e710f4eaf359d179345111b75db29b0e9259a8340e10e5050a7ee47158

Observation 389eaf59-8111-44e5-a982-d190dac2f17c · outbound

This paper cites Tuza, Asymptotic growth of sparse saturated structures is locally determined, Discrete Math- ematics, 108:1-3 (1992) 397–402.

When does a tree activate the random graph? Tuza, Asymptotic growth of sparse saturated structures is locally determined, Discrete Math- ematics, 108:1-3 (1992) 397–402

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.790858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.536466Z digest=sha256:0adb1d9efb46af72cf7ae4a307cfe5d5717d9730ad692f6ddb4434248ac519fe

Observation ad1a21f4-da51-4978-9986-5d15932e9ebf · outbound

This paper cites Ulam, Random processes and transformations, Proc.

When does a tree activate the random graph? Ulam, Random processes and transformations, Proc

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.779712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:41:01.539676Z digest=sha256:2c83d40df4e28afb139343eb3e13dbdeeb6b364959246b4624d81b1d2288939f

Pith citing papers

Observation 4ed526f0-d3c2-4496-ba56-b60cca3e0f66 · inbound

Weak saturation numbers of large complete bipartite graphs cites this paper.

Weak saturation numbers of large complete bipartite graphs When does a tree activate the random graph?

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-05T16:02:29.675761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T16:02:29.579908Z digest=sha256:f925ced30885e7c8da5afe4a9209a8a90eede438d40748d0076537b9bfb90b8a