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Paper Citation Record · LEDGER

Weak saturation numbers of large complete bipartite graphs

As of 7 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 2 inbound Pith citation observations for arXiv:2508.19435.

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

pith.paper-citation-record.v1
2508.19435 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:02:29.633247Z

measured 22 of 22 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T07:00:49.981472Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

  • verified exact1
  • verified fuzzy13
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 41a2d4a4-bcd2-4d3e-94b4-97840f48bfa4 · outbound

This paper cites an unresolved cited work.

Weak saturation numbers of large complete bipartite graphs Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:02:29.949884Z

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=2026-08-05T16:02:29.552369Z digest=sha256:a7cd6e79613a8d46edc1192438ad5f89e868a9a50253869d607e522b9a2b8aab

Observation e2c7cff2-9826-4980-8a88-29818acc72d6 · outbound

This paper cites Bernshteyn and A.

Weak saturation numbers of large complete bipartite graphs Bernshteyn and A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.935016Z

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=2026-08-05T16:02:29.557563Z digest=sha256:d713a41f17786877cd872d941075d3a89cdc23468677b82d5d59af38c01a6c73

Observation f6d5efca-ba72-4f3a-bcde-1a7af4b1566a · outbound

This paper cites Bidgoli, A.

Weak saturation numbers of large complete bipartite graphs Bidgoli, A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.921284Z

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=2026-08-05T16:02:29.561917Z digest=sha256:66f4157a876e62b0f918a85bf3344a1f01e9e9b534554ab7e0511decb93cdfb7

Observation 557a0c89-d39d-4f46-a1c0-fccd3d73f066 · outbound

This paper cites Bollob´ as.

Weak saturation numbers of large complete bipartite graphs Bollob´ as

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.907308Z

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=2026-08-05T16:02:29.566430Z digest=sha256:769c5341750a9c0964ecc9960da1e57c8525ef9ee312e6ef6d8bc8ceeb647c5b

Observation 8feb7aee-0167-4fa9-9aed-a50ca19dd395 · outbound

This paper cites Bollob´ as.

Weak saturation numbers of large complete bipartite graphs Bollob´ as

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.892697Z

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=2026-08-05T16:02:29.571020Z digest=sha256:89331bf5f36169a9ae204021b19f508095b03c452659334ede245492c82b9761

Observation 62866584-2bf5-4404-8385-11a398fca590 · outbound

This paper cites Borowiecki and E.

Weak saturation numbers of large complete bipartite graphs Borowiecki and E

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.879370Z

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=2026-08-05T16:02:29.575324Z digest=sha256:f661492add474b9c9a1a63bac3ad09892397a77a27872e16d356979cba12da6f

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

This paper cites When does a tree activate the random graph?.

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

Observation 78daf3ac-070a-4529-a84b-292c9085fc76 · outbound

This paper cites Erd˝ os, A.

Weak saturation numbers of large complete bipartite graphs Erd˝ os, A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.865599Z

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=2026-08-05T16:02:29.584187Z digest=sha256:c06307bb9e9040928e5f31f51b84bcbcf106f7954fcf3480a75c52d68a8ab155

Observation c302cb34-ab18-4bff-bf66-505ada2fb356 · outbound

This paper cites an unresolved cited work.

Weak saturation numbers of large complete bipartite graphs Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:02:29.851056Z

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=2026-08-05T16:02:29.588393Z digest=sha256:ec0f6f2f34bb7378182b0165d51188526c408c0db8880de2f96e733ad5e05420

Observation 508f457e-82db-4eaa-ba4b-96562633050f · outbound

This paper cites an unresolved cited work.

Weak saturation numbers of large complete bipartite graphs Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:02:29.836522Z

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=2026-08-05T16:02:29.592651Z digest=sha256:e1825fd98dbc1d11fdef54226184896268a5c0c44ffff19a44bed74c4ff6819b

Observation 1a0287ba-d38b-446b-a72c-92687e8b56d8 · outbound

This paper cites an unresolved cited work.

Weak saturation numbers of large complete bipartite graphs Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:02:29.821157Z

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=2026-08-05T16:02:29.597128Z digest=sha256:9b78875361e9c0f8e4ac51f8a6bd08052571c39ce8dfe90e83afef7182edaad7

Observation a9ed7dbb-7a6e-490f-8c1e-91c286f08b14 · outbound

This paper cites Kalinichenko and M.

Weak saturation numbers of large complete bipartite graphs Kalinichenko and M

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.807262Z

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=2026-08-05T16:02:29.601117Z digest=sha256:6fc940eabb23f00b8032340325f6029ec92af67db2b7971b50972701ecc4d788

Observation e8790cf7-0bf2-48d0-9d24-f3ecde3b1fb0 · outbound

This paper cites Kor´ andi and B.

Weak saturation numbers of large complete bipartite graphs Kor´ andi and B

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.793083Z

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=2026-08-05T16:02:29.605153Z digest=sha256:7d7d7532725356fa4ea11cade74e3b6e07b9433008f3bb1383cfc5a556843a8d

Observation e860f856-0f2c-47f1-8a02-d8185ca03c5c · outbound

This paper cites Kronenberg, T.

Weak saturation numbers of large complete bipartite graphs Kronenberg, T

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.779313Z

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=2026-08-05T16:02:29.609134Z digest=sha256:fa1d4d50d80a323c49dd1f145aedb55d63bc2ed9f9503daf01c1a0ebcd7eb0cb

Observation a314b557-9350-429a-8f66-99982d6c9d6e · outbound

This paper cites Lov´ asz.

Weak saturation numbers of large complete bipartite graphs Lov´ asz

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.765309Z

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=2026-08-05T16:02:29.612930Z digest=sha256:ecd64882c60f68936364384fc83f139d4f72852971748ef340efd513426ffb1c

Observation 043fe236-bd34-4c99-971c-ca1bc102d30b · outbound

This paper cites an unresolved cited work.

Weak saturation numbers of large complete bipartite graphs Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:02:29.749344Z

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=2026-08-05T16:02:29.616862Z digest=sha256:3b0473a491acf1a72d87619a30c9b3540311786dee6db3c4f6e8b58e3e224947

Observation 517b935d-a6a4-42ca-afa2-ecfa2e8d5a77 · outbound

This paper cites Miralaei, A.

Weak saturation numbers of large complete bipartite graphs Miralaei, A

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.734901Z

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=2026-08-05T16:02:29.620859Z digest=sha256:2f129df7f3ce9f48911af5ef62407ef3d1c41e76426d4589c1c2d26bc2f87a8c

Observation 213d5566-63ba-486e-a466-f1f3dfd20d57 · outbound

This paper cites Terekhov and M.

Weak saturation numbers of large complete bipartite graphs Terekhov and M

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.720232Z

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=2026-08-05T16:02:29.625052Z digest=sha256:eb12d71053469ec0b8132dd321ca66adad1d5e02044034eab19e57bf6c3354a0

Observation a744c6d8-3ff3-4eb4-a2dc-30325f90cdf6 · outbound

This paper cites Terekhov and M.

Weak saturation numbers of large complete bipartite graphs Terekhov and M

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.704999Z

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=2026-08-05T16:02:29.629152Z digest=sha256:60384d50df7d7f9275aebebdf15f62581ae51b5a05840cdf39830e97fa391c30

Observation 78da506c-6051-4254-8a28-9ce03427670c · outbound

This paper cites an unresolved cited work.

Weak saturation numbers of large complete bipartite graphs Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:02:29.690424Z

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=2026-08-05T16:02:29.633247Z digest=sha256:94dde240b60614c934c6a1c6fd2b940d2afdf26daa781ad33e9910cc6c4812de

Pith citing papers

Observation 2cc158a2-a2a8-4d52-badc-1bd520431d5f · inbound

The Complexity of Weak Saturation for Complete Graphs and Balanced Complete Bipartite Graphs cites this paper.

The Complexity of Weak Saturation for Complete Graphs and Balanced Complete Bipartite Graphs Weak saturation numbers of large complete bipartite graphs

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-11T21:06:41.543963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T21:06:41.543963Z digest=sha256:e9481f1cb3a0a1a9ea5531097035ec661a473422c8eaa96734c897b104d3be9d

Observation b0c3281c-81ee-46d6-9d5c-869f8374d7d8 · inbound

The Complexity of Weak Saturation for Complete Graphs and Balanced Complete Bipartite Graphs cites this paper.

The Complexity of Weak Saturation for Complete Graphs and Balanced Complete Bipartite Graphs Weak saturation numbers of large complete bipartite graphs

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-13T07:00:49.981472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T07:00:49.981472Z digest=sha256:3d493c963482c375a628e26ad3b841c1b1260c646784742dc51e7b86dccd0c98