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Paper Citation Record · LEDGER

Robustness of the Sauer-Spencer Theorem

As of 17 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2507.03676.

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

pith.paper-citation-record.v1
2507.03676 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:21:04.558872Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

36 of 36 outbound references displayed

  • verified exact1
  • verified fuzzy24
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 40338f95-461b-4650-b88a-dfaf86739e5a · outbound

This paper cites Aigner and S.

Robustness of the Sauer-Spencer Theorem Aigner and S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:10.857857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:01.550966Z digest=sha256:03904e32904d784468e8abc2aa419c00334941fbd8075ac958fb3f31aa761400

Observation 2f0d6db3-880b-44de-95cf-03876198188d · outbound

This paper cites Allen, J.

Robustness of the Sauer-Spencer Theorem Allen, J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:10.689571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:01.636360Z digest=sha256:860308d31e439438053adbdea0623fdb268c1f9454e9a384b2b88dd203797e5b

Observation faa49d0f-528d-4f8a-b9a7-f5d74ce57cab · outbound

This paper cites Allen, J.

Robustness of the Sauer-Spencer Theorem Allen, J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:10.487466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:01.690676Z digest=sha256:7330e3e15a38ff18051314603be9d546968b35ee6f965cbe3e8c7f9f2611d8f9

Observation a2e47430-619f-4aa5-acfc-e2e3c156ecbb · outbound

This paper cites Blow-up lemmas for sparse graphs.

Robustness of the Sauer-Spencer Theorem Blow-up lemmas for sparse graphs

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T20:21:01.756732Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:21:01.756732Z digest=sha256:aaca6045f1f0e57ea49bfcad5e7018e4b3494405b6af2c90e9e382ae17cd32a5

Observation 3c8a64f3-be1e-4809-8eda-e47ea0bea3f8 · outbound

This paper cites Alon and E.

Robustness of the Sauer-Spencer Theorem Alon and E

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:10.338457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:01.800240Z digest=sha256:bd051f8eeebbb03760f4896de945490552155e843274d8b4635ab445aca71184

Observation 4f322222-6072-478e-94cb-9dd59c222fe9 · outbound

This paper cites Random embeddings of bounded degree trees with optimal spread.

Robustness of the Sauer-Spencer Theorem Random embeddings of bounded degree trees with optimal spread

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-06T20:21:01.844877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:21:01.844877Z digest=sha256:021ec43aa9b7c13b4151f9160190c7b5ff1fb1b0f625194e34c014e7205014fd

Observation 609edfd8-e98c-4163-9294-2d1e1b97050e · outbound

This paper cites Bollob´ as and S.

Robustness of the Sauer-Spencer Theorem Bollob´ as and S

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:10.163179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:01.886662Z digest=sha256:166403abb801983e28f52bd2f60c758bdc2cdc33cb731207c050359cb7f5de2f

Observation 9bab45fe-6beb-4aa3-90f6-3be5a9f6f79d · outbound

This paper cites Bollob´ as,Extremal graph theory, London Mathematical Society Monographs, vol.

Robustness of the Sauer-Spencer Theorem Bollob´ as,Extremal graph theory, London Mathematical Society Monographs, vol

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:09.982491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:01.941377Z digest=sha256:629fd289eb7df503921617d10f000b1b4ea6b0ff6335b8c42c41d5b330c1ee74

Observation 8e786890-5089-4186-bc63-1fea24346646 · outbound

This paper cites B¨ ottcher, M.

Robustness of the Sauer-Spencer Theorem B¨ ottcher, M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:09.780740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:02.018245Z digest=sha256:e66e73c13e8b0e0b6942d760732bb069759c916e092805b3f449e6392d37cc26

Observation b0178041-6094-48db-8c8e-6e955be1f9bb · outbound

This paper cites an unresolved cited work.

Robustness of the Sauer-Spencer Theorem Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:21:09.619539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:02.072807Z digest=sha256:0d1a0f9a9532b60a7bae450f5ea4a20c7387215611ca5a94be08483793ed6895

Observation e9a4384b-0323-4e3e-aa41-bfb66d0207a4 · outbound

This paper cites an unresolved cited work.

Robustness of the Sauer-Spencer Theorem Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:21:09.449657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:02.175238Z digest=sha256:477bbb6540c8d480e0be8f452bbab745e18e4b1cb0b5aec9451ecfb1c37d395a

Observation 6c6cdc6b-abb5-4b2a-9a11-7d56751ec01a · outbound

This paper cites Csaba, On the Bollob´ as–Eldridge conjecture for bipartite graphs, Combin.

Robustness of the Sauer-Spencer Theorem Csaba, On the Bollob´ as–Eldridge conjecture for bipartite graphs, Combin

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:09.291132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:02.273887Z digest=sha256:7ff1207e1e492beb2e833afd9d93e98247a34b7cb3bb8e935180c2b25fabea1b

Observation 4a2d8382-483e-4768-92f0-fd7a658bc889 · outbound

This paper cites Csaba, A.

Robustness of the Sauer-Spencer Theorem Csaba, A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:09.088747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:02.391954Z digest=sha256:d1f8628b74505e9a39b73f2f672b27a9c3640adc5a4ba55c6f71367c31d706a7

Observation a1658c1f-4e90-4ca0-8db9-1efc9dba58d6 · outbound

This paper cites an unresolved cited work.

Robustness of the Sauer-Spencer Theorem Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:21:08.914843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:02.471581Z digest=sha256:7e00082bacb88619aeac115223ceb8b0fd179374835e4c3c62e8fcd09741938a

Observation f5777ea5-063c-4961-b62f-8293199ded6e · outbound

This paper cites Frankston, J.

Robustness of the Sauer-Spencer Theorem Frankston, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:08.652247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:02.564075Z digest=sha256:dfe858ad1105d218c911f6201bd2d5c764425a708f345f2f8d7fd365ae07c7ed

Observation e3cad13b-e6fe-4525-9ffa-3c50c5c3975e · outbound

This paper cites Hajnal and E.

Robustness of the Sauer-Spencer Theorem Hajnal and E

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:08.447931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:02.637339Z digest=sha256:f24a8ef6126f3e9e60933e5fd6c9bea2781bf3a16174cf7951db9d02d04e102b

Observation 9d4e10d7-bc9d-4dba-9339-1d546f7eed1a · outbound

This paper cites Janson, T.

Robustness of the Sauer-Spencer Theorem Janson, T

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:08.242711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:02.696402Z digest=sha256:00f8941f52142e7dbf347ae445d4d946b6dcb5fa1d5404d118c2af57f19dc930

Observation 91665ef9-75ba-48a1-a5d2-515c17eb1375 · outbound

This paper cites Johansson, J.

Robustness of the Sauer-Spencer Theorem Johansson, J

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:07.973599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:02.775059Z digest=sha256:76b8ffdd43d47129e914dc2c15de1aee3dcf98898953dd6508e80fcd7719e738

Observation 1b355b57-50fb-413f-90ab-7297ed2e6915 · outbound

This paper cites Robust Hamiltonicity.

Robustness of the Sauer-Spencer Theorem Robust Hamiltonicity

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-06T20:21:02.852577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:21:02.852577Z digest=sha256:58286cf45022b620da56ffe07d23c3cd00fd2beb963a828baf1d0e54ba341e74

Observation 23f7d7d9-2609-453b-b3d6-b27e3d5e7321 · outbound

This paper cites an unresolved cited work.

Robustness of the Sauer-Spencer Theorem Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:21:07.801890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:02.972561Z digest=sha256:42bf127ee0618d10d0cf3d98c7d08a9d6a9af08fd63595398bb06f448037b028

Observation ac16625d-8fae-4ea9-9d9b-86015374ae9f · outbound

This paper cites an unresolved cited work.

Robustness of the Sauer-Spencer Theorem Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:21:07.637942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:03.086538Z digest=sha256:ba3cba7ec569668d52ad8a947a5bc0c6b9693d213f67ca463deedeaa98335d51

Observation 1c7a30bb-92d4-427e-abcf-6c8e09f90ccf · outbound

This paper cites Kelly, A.

Robustness of the Sauer-Spencer Theorem Kelly, A

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:07.444718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:03.211211Z digest=sha256:9979f9d2337855e89dc2d8eadad4c1c2ebc5bea1eaec33a5cfa3c88ad5d807fb

Observation f13ec77c-a880-49c7-b2d5-d7207789e125 · outbound

This paper cites Koml´ os and M.

Robustness of the Sauer-Spencer Theorem Koml´ os and M

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:07.215363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:03.334812Z digest=sha256:c5006d32ebff1e0433af985988675829b494ab2f44729a29a2f9b3e3f2377f2e

Observation 03c7ce9d-42cc-4666-9d35-923079a440ab · outbound

This paper cites Koml´ os, G.

Robustness of the Sauer-Spencer Theorem Koml´ os, G

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:07.021070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:03.446220Z digest=sha256:58ad4d1850dfb270d3564c78a4516ba1ec93c795ecd008f017d7e39f701b6296

Observation 13d0a2de-3eeb-4cca-9ec2-53964eda8af4 · outbound

This paper cites 1, 109–123.

Robustness of the Sauer-Spencer Theorem 1, 109–123

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:06.760583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:03.515582Z digest=sha256:026df8cb2b38c35081c065fb903b84a65a4eac267b0c714d8d61872f53d2aa18

Observation 0a6bd051-3985-4837-bea5-3257683b4bac · outbound

This paper cites an unresolved cited work.

Robustness of the Sauer-Spencer Theorem Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:21:06.616973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:03.621157Z digest=sha256:d62af3ee2184503d77b82e16a97187123a2ba71c85b1069d4b9bea312e64c893

Observation c8771546-f103-4f81-b1f0-615190ec8761 · outbound

This paper cites 235 (2001), no.

Robustness of the Sauer-Spencer Theorem 235 (2001), no

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:06.466531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:03.685902Z digest=sha256:5215deaf962b9b722f557009ede281fa23caa93feac2f3e7467629a892e7656f

Observation ae1d6878-b1a1-42cc-8cd6-956b1106fd8c · outbound

This paper cites an unresolved cited work.

Robustness of the Sauer-Spencer Theorem Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:21:06.245108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:03.757898Z digest=sha256:7acc2908bd867c96f3c0732eca838959c5aecb4fb80e48b3c8aa588fd360b1fd

Observation 4cf0408a-5f3f-4640-947c-1adf320cf7b9 · outbound

This paper cites Krivelevich, C.

Robustness of the Sauer-Spencer Theorem Krivelevich, C

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:06.083726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:03.895402Z digest=sha256:2821876fecda47d4f205d1b444518af10e8b9e54a3f75a08ec85026873faa56c

Observation 61652937-f042-47d1-b9b7-2dc03dd516ec · outbound

This paper cites K¨ uhn, D.

Robustness of the Sauer-Spencer Theorem K¨ uhn, D

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:05.871836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:04.005782Z digest=sha256:965545dd71d980b6bb345eb008af94b33a8edd9f941e3490d877924fc5e0ea7c

Observation 73f78a7a-70a1-462d-94a3-72df5fe5e40d · outbound

This paper cites Spread blow-up lemma with an application to perturbed random graphs.

Robustness of the Sauer-Spencer Theorem Spread blow-up lemma with an application to perturbed random graphs

Reference 31

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:21:04.857943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:04.146786Z digest=sha256:80a070586377cf5f642dd949d4501bfabd19d50da0359412568d277ec43102fe

Observation 944a8463-c4d2-4f0b-8cae-e987273253da · outbound

This paper cites A Toolkit for Robust Thresholds.

Robustness of the Sauer-Spencer Theorem A Toolkit for Robust Thresholds

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-06T20:21:04.210774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:21:04.210774Z digest=sha256:36f7b41f71b59ff08313e4b17b284da05c02bf8378917b789459ddb6931d2e6d

Observation 03b13e9a-e699-4f62-a364-3891b63ba1cd · outbound

This paper cites Sauer and J.

Robustness of the Sauer-Spencer Theorem Sauer and J

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:05.651386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:04.289360Z digest=sha256:7c7f4861df55ab35322cca696a5092554a53b2aee18163180cd6f9849f53cfa4

Observation 1a125c22-c9ba-4158-8eef-743bf955817b · outbound

This paper cites Sudakov, Robustness of graph properties , Surveys in combinatorics 2017, London Math.

Robustness of the Sauer-Spencer Theorem Sudakov, Robustness of graph properties , Surveys in combinatorics 2017, London Math

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:05.463317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:04.353404Z digest=sha256:7cdebd361ced27df821c10fd0628ffe78061afa623370114eaca049ac1fb22f2

Observation f0fcfa4b-f417-4f3c-879f-f8b2da95c5a3 · outbound

This paper cites Szemer´ edi,Regular partitions of graphs , Probl` emes combinatoires et th´ eorie des graphes (Colloq.

Robustness of the Sauer-Spencer Theorem Szemer´ edi,Regular partitions of graphs , Probl` emes combinatoires et th´ eorie des graphes (Colloq

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:05.297745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:04.421171Z digest=sha256:c53fc19091f1b83376c509f2797e9ed802dd38cbd48d93304f0347a76b2b38c9

Observation 5434292a-2f34-4e33-a14a-42d392223961 · outbound

This paper cites Talagrand, Are many small sets explicitly small? , Proceedings of the 2010 ACM International Symposium on Theory of Computing, ACM, New York, 2010, pp.

Robustness of the Sauer-Spencer Theorem Talagrand, Are many small sets explicitly small? , Proceedings of the 2010 ACM International Symposium on Theory of Computing, ACM, New York, 2010, pp

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:21:05.092147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:21:04.558872Z digest=sha256:2b524f6a4d49b793cb933f7fdf446417d4986f812573fc3cadd469e4262b5923

Pith citing papers

No inbound Pith citation observations are available.