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Paper Citation Record · LEDGER

Non-isomorphic subgraphs in random graphs

As of 10 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2505.14623.

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

pith.paper-citation-record.v1
2505.14623 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:42:22.743053Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:03:50.440849Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T13:03:50.759780Z

Reference resolution

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy17
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d229f845-f2a7-45e4-bd84-821951261f08 · outbound

This paper cites an unresolved cited work.

Non-isomorphic subgraphs in random graphs Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:42:27.624938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:20.339595Z digest=sha256:f21ddfb24415e8e5ce33d166c82e03f2d26386d2b2c321825cd87a6cb0f5cf43

Observation 3093cd4e-e063-4d36-be95-a7329929f6b3 · outbound

This paper cites an unresolved cited work.

Non-isomorphic subgraphs in random graphs Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:42:27.400267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:20.515935Z digest=sha256:3829fb57b83dee74aa49ebf0f0e94a68c491addafc34190516072181f9d73e3f

Observation 752d87fc-636d-4436-b7d6-d031b50f83e7 · outbound

This paper cites an unresolved cited work.

Non-isomorphic subgraphs in random graphs Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:42:27.077073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:20.601378Z digest=sha256:ef64b073bb8e83f28d336cae0395093afa676ebe7b06baa90c41b6480a5807fc

Observation 9d0ec394-c635-44f1-a448-9d8c05d1c826 · outbound

This paper cites Bollobás,Almost every graph has reconstruction number three, J.

Non-isomorphic subgraphs in random graphs Bollobás,Almost every graph has reconstruction number three, J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:42:26.704460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:20.703257Z digest=sha256:92230984579fc2fde77ad66de564689339dfc9bdd6b274c795abd2c9a6d018f0

Observation f836c03e-ac03-4d37-a379-f4c09de5e645 · outbound

This paper cites Bollobás,Random graphs, 2nd edition, Cambridge University Press, 2001.

Non-isomorphic subgraphs in random graphs Bollobás,Random graphs, 2nd edition, Cambridge University Press, 2001

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:42:26.331250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:20.792521Z digest=sha256:c73f8d1e176c35cbd1e2c0e90ba319e605554e4886d8b2e7c5701535c918d4ff

Observation 54628027-f8db-4046-aeb7-7251a92621bd · outbound

This paper cites Bollobas, P.

Non-isomorphic subgraphs in random graphs Bollobas, P

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:42:26.153437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:20.896819Z digest=sha256:605bc77cf58bcf649c50e375c5f6cd08d1238a3bdb464d66e33f0de4753dc1a1

Observation 92c61929-75e9-4385-9cde-3106b99a33dd · outbound

This paper cites Bonnet, J.

Non-isomorphic subgraphs in random graphs Bonnet, J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:42:26.036049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:20.986364Z digest=sha256:43a7fb617908844e9f2ce822d2bf5aea1b7fdab02d02a63539034ea1f3baffa2

Observation ad4c2a8f-fbf1-4248-959b-39ae81dc6150 · outbound

This paper cites Bordenave,A new proof of Friedman’s second eigenvalue theorem and its extension to random lifts, Annales Scientifiques de l’École Normale Supérieure53:6 (2020) 1393–1439.

Non-isomorphic subgraphs in random graphs Bordenave,A new proof of Friedman’s second eigenvalue theorem and its extension to random lifts, Annales Scientifiques de l’École Normale Supérieure53:6 (2020) 1393–1439

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:42:25.899019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:21.068902Z digest=sha256:a8d270a06e7858321c2ee7feb450bea129bc70defed86d19f4ed4984f1f70daf

Observation 0e8d267f-1b34-4247-b582-f5a4587fb727 · outbound

This paper cites an unresolved cited work.

Non-isomorphic subgraphs in random graphs Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:42:25.770185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:21.170439Z digest=sha256:0c3882ef652347d1f687e7c4796a37d3049cddb8b5c1d2d8adc45b07cc2f607e

Observation d2459f14-a541-402e-8f94-5afb684c66cc · outbound

This paper cites Long induced paths in a configuration model.

Non-isomorphic subgraphs in random graphs Long induced paths in a configuration model

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T15:42:21.283657Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:42:21.283657Z digest=sha256:d19329f95ba894180a2e9d6bf90c695b0ca332791f225f2c1bc4339178562e09

Observation 12344281-59a6-4d41-ac9c-2c297626471b · outbound

This paper cites Erdős, A.

Non-isomorphic subgraphs in random graphs Erdős, A

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:42:25.615401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:21.413551Z digest=sha256:1a33cc6d5481a1a15beab3dd776f8715be689236917902212555aa15fa23f808

Observation c32309a9-6c99-4ac6-9453-61437e366969 · outbound

This paper cites Erdős, A.

Non-isomorphic subgraphs in random graphs Erdős, A

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:42:25.493655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:21.520791Z digest=sha256:220327be0553c2ac6cb799d67ce6c36b490ec25047899626095a303c89a63c8d

Observation de4345b1-d4e6-4c18-ba6d-2e5c8de15e10 · outbound

This paper cites Friedman,A proof of Alon’s second eigenvalue conjecture and related problems, Memoirs of the American Mathematical Society,195:910 (2008) 100pp.

Non-isomorphic subgraphs in random graphs Friedman,A proof of Alon’s second eigenvalue conjecture and related problems, Memoirs of the American Mathematical Society,195:910 (2008) 100pp

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:42:25.349994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:21.635122Z digest=sha256:1c0bd3cf1d1030c767b461e406a332c87dd78b04f5dd3333b7695d57b7b80933

Observation 466dff15-1377-4518-a35d-98360e0bae94 · outbound

This paper cites an unresolved cited work.

Non-isomorphic subgraphs in random graphs Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:42:25.217128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:21.748829Z digest=sha256:13af3bca5b36177555d631e53b69fbd9087e1bd0fa6fd99123b3e29cea49a4ad

Observation 9948bb19-83c2-4eb3-8f0c-dfe2f459d251 · outbound

This paper cites an unresolved cited work.

Non-isomorphic subgraphs in random graphs Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:42:25.067269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:21.827765Z digest=sha256:36212f396b6b578ebfe86a222967f533fb7961fffba251b0f3fbda26ce1b2ae4

Observation 4629dd2c-9458-4168-a23d-159c924e218b · outbound

This paper cites Janson, T.

Non-isomorphic subgraphs in random graphs Janson, T

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:42:24.950712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:21.905053Z digest=sha256:7f99823412c63815c1a802633db85b16b007737d83a5152325880efdf32b2dc5

Observation d1a77b1a-7dba-4b81-8921-2bbee3a3e0f9 · outbound

This paper cites an unresolved cited work.

Non-isomorphic subgraphs in random graphs Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:42:24.783595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:21.968122Z digest=sha256:b3273af20b1743ee792d90dd75b4860bfd187b8b31d53601c24d7bffbc4931f5

Observation 6c873f32-9fd3-4e86-92fd-f6b49142f9a3 · outbound

This paper cites Müller,Probabilistic reconstruction from subgraphs, Commentationes Mathematicae Uni- versitatis Carolinae,17:4 (1976) 709–719.

Non-isomorphic subgraphs in random graphs Müller,Probabilistic reconstruction from subgraphs, Commentationes Mathematicae Uni- versitatis Carolinae,17:4 (1976) 709–719

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:42:24.594462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:22.045860Z digest=sha256:86cd565cfd9eab0ac1796946cf5fc3eae97a672d998420027d6f202438c4317f

Observation 7852de85-43d5-4db1-a13c-7e370631356f · outbound

This paper cites Nadarajah, K.

Non-isomorphic subgraphs in random graphs Nadarajah, K

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:42:24.438951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:22.168992Z digest=sha256:f516d43c77635111d7502e9032ed1362d519577bdf2cdea30e73dceacc626057

Observation f9968e49-3692-4d0e-a6db-86b1971c2a3e · outbound

This paper cites Otter,The number of trees, Annals of Mathematics,2:49 (1948) 583–599.

Non-isomorphic subgraphs in random graphs Otter,The number of trees, Annals of Mathematics,2:49 (1948) 583–599

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:42:24.192523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:22.246813Z digest=sha256:de17211a098c4271d549756a8e493189dda2bc1d068be8cb0ff2f266786b13a8

Observation cd18d798-85d3-4e11-91c6-f30b8f4faa4a · outbound

This paper cites Pittel,On trees census and the giant component in a sparse random graph, Random Structures & Algorithms,1(1990) 311–342.

Non-isomorphic subgraphs in random graphs Pittel,On trees census and the giant component in a sparse random graph, Random Structures & Algorithms,1(1990) 311–342

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:42:24.012917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:22.321556Z digest=sha256:89b97e7a04008a249cf209667fc71471292e2f63056e6a78df129efed246eebd

Observation bd374e06-9715-42af-9284-2c44ae5ef36b · outbound

This paper cites Puder,Expansion of random graphs: New proofs, new results, Inventiones Mathematicae, 201:3 (2015) 845–908.

Non-isomorphic subgraphs in random graphs Puder,Expansion of random graphs: New proofs, new results, Inventiones Mathematicae, 201:3 (2015) 845–908

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:42:23.827044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:22.418427Z digest=sha256:72be479919ca23dcf3ed8f4ed9316bb8ea85a441434d498fe87a9a571b0f70a6

Observation f497c6a0-cd8b-4986-95f1-5cba5b8e5d13 · outbound

This paper cites Rodionov, M.

Non-isomorphic subgraphs in random graphs Rodionov, M

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:42:23.636956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:22.511920Z digest=sha256:af8f50724edcf06910d3a1f34d322b776c6c19520713f5bd1608aa21629b1176

Observation 9fa62c76-2929-4c5d-8150-9a54272643fa · outbound

This paper cites an unresolved cited work.

Non-isomorphic subgraphs in random graphs Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:42:23.425618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:22.585917Z digest=sha256:511f732e9c1aded48e0fdc948474c08b2e6e91dc61410a72bd6ccedcc926efe4

Observation 0194c459-8cf8-4269-bd74-9b8f0d9a32fd · outbound

This paper cites Shelah,Erdős and Rényi conjecture, Journal of Combinatorial Theory, Ser A,82(1998) 179–185.

Non-isomorphic subgraphs in random graphs Shelah,Erdős and Rényi conjecture, Journal of Combinatorial Theory, Ser A,82(1998) 179–185

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:42:23.213165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:22.660999Z digest=sha256:0e99bc1c5d3a7956fb8392cdd00ecc81004464bc4294b9f05c9e4947379414a3

Observation 86db79a3-a535-4131-9ec8-660a0b02a556 · outbound

This paper cites Verbitsky, M.

Non-isomorphic subgraphs in random graphs Verbitsky, M

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:42:23.015003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T15:42:22.743053Z digest=sha256:21b8e193f948d3d9dfb7dd1bd1869f6a63a456e1e7ce5267145983a2ec6dc1be

Pith citing papers

Observation 6bef1412-5dc6-4b0f-92dd-d6a6d8b13a87 · inbound

A large hole in pseudo-random graphs cites this paper.

A large hole in pseudo-random graphs Non-isomorphic subgraphs in random graphs

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:03:50.838705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:03:50.440849Z digest=sha256:61aa2c923369774788aa89bacedfcdf0ef9d6ead359e2cf8c9915b7c90001c68