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Paper Citation Record · LEDGER

The friendship paradox for trees

As of 8 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 2 inbound Pith citation observations for arXiv:2505.21774.

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

pith.paper-citation-record.v1
2505.21774 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:34:13.558996Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T12:33:30.095588Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T22:29:00.502112Z

Reference resolution

18 of 18 outbound references displayed

  • verified exact1
  • verified fuzzy16
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f48980e7-0b26-48d6-af07-324c1fe93035 · outbound

This paper cites Avrachenkov, N.

The friendship paradox for trees Avrachenkov, N

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:34:17.271304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:34:12.158694Z digest=sha256:f3286a798586d675cc13b34a79dc2e88f4c459e6ce07e1e83ce1fd3434feec3e

Observation 7caf3d5d-cda5-4985-a57b-04eb9f0c42d0 · outbound

This paper cites Britton, S.

The friendship paradox for trees Britton, S

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:34:17.094390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:34:12.217490Z digest=sha256:c35d9786c5b20996a06340f0bf7a6c4ca0a47d8fa6ad385e14d8e261f36211f1

Observation 2020ac1d-8801-4631-922f-d21423ea3d20 · outbound

This paper cites Cao, S.M.

The friendship paradox for trees Cao, S.M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:34:16.974747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:34:12.273817Z digest=sha256:857ab59b50093506d73fe1701eabdbae82696721dfd996189129d4e0eeac3db9

Observation 28ad0be9-0cbd-4244-bd7f-995a98b1b386 · outbound

This paper cites Christakis, J.H.

The friendship paradox for trees Christakis, J.H

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:34:16.798655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:34:12.350097Z digest=sha256:0ae6e8a4f57deb5ec46a6a3ff14329538a9a40153fb8c14b76f645e08457bdff

Observation bc9da2ca-644d-4c8f-9de8-b7bb51d6300c · outbound

This paper cites Cohen, S.

The friendship paradox for trees Cohen, S

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:34:16.649464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:34:12.399931Z digest=sha256:f1ce0f035ad568b8df057150f061665679480b6832e9c612e676b727ec2a2e80

Observation 599c1f6b-84a9-4e35-afb4-3e9067eb2390 · outbound

This paper cites Eom, H.-H.

The friendship paradox for trees Eom, H.-H

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:34:16.510841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:34:12.466011Z digest=sha256:89f32bb9a6e4bb16214a3e438c8b280fa2a364db1406d343b24dc62d3dbc071c

Observation e1de964b-1c70-4b9e-ad32-3e22010e4534 · outbound

This paper cites Feld, Why your friends have more friends than you do, American Journal of Sociology 96 (1991), 1464–1477.

The friendship paradox for trees Feld, Why your friends have more friends than you do, American Journal of Sociology 96 (1991), 1464–1477

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:34:16.360764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:34:12.527661Z digest=sha256:5e055a75f6a10d7f2a7c50d9ab0b6055ae780c7731a8fbeee1b45968d3f6b6f7

Observation cd5d6cb9-5048-458f-8055-5ff995031d78 · outbound

This paper cites Hazra, F.

The friendship paradox for trees Hazra, F

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:34:16.190417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:34:12.606487Z digest=sha256:a88ed0a7169693f9d242c0935a98c4b3ccd83560ceb0e41bb284c00a2939906d

Observation 18d6cc66-5615-405c-9d3e-a6108e80550d · outbound

This paper cites Hazra, F.

The friendship paradox for trees Hazra, F

Reference 9

Resolution
verified exact
raw_fallback, observed 2026-08-07T13:34:13.916533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:34:12.705319Z digest=sha256:71644a2db6656589830b235db7dc55827a1d2e598b300a32fd25f187d9206307

Observation 62596dda-68e5-4ea1-89da-d4c0cc0edfe8 · outbound

This paper cites Hodas, F.

The friendship paradox for trees Hodas, F

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:34:16.005331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:34:12.763377Z digest=sha256:93c3af88061b556026f024def070c76454ac0fb237a364bd5fdb7c90e37c5a32

Observation bc23a1a7-c428-418f-b089-939c6523f592 · outbound

This paper cites van der Hofstad, Random Graphs and Complex Networks , Volume 1, Cambridge University Press, 2017.

The friendship paradox for trees van der Hofstad, Random Graphs and Complex Networks , Volume 1, Cambridge University Press, 2017

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:34:15.811954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:34:12.834901Z digest=sha256:0b4726b83234b62cceba8ef2ea00f13fcaafcf2abd3e3fb41bd1353b31024073

Observation 216b5d89-4e65-4b12-a433-723f71cf4db1 · outbound

This paper cites van der Hofstad, Random Graphs and Complex Networks , Volume 2, Cambridge University Press, 2024.

The friendship paradox for trees van der Hofstad, Random Graphs and Complex Networks , Volume 2, Cambridge University Press, 2024

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:34:15.619670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:34:12.902829Z digest=sha256:464aba4af397d7a4ff9d696f8bb4edac12f7f9fc7f7e122fae952e4fc6cd07ed

Observation 2596dcca-4425-4f56-95b2-2211c06ce5be · outbound

This paper cites Jackson, The friendship paradox and systematic biases in perceptions and social norms, Journal of Political Economy 127 (2019), 777–818.

The friendship paradox for trees Jackson, The friendship paradox and systematic biases in perceptions and social norms, Journal of Political Economy 127 (2019), 777–818

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:34:15.363226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:34:12.976137Z digest=sha256:48d1950753babf98a69cb4daa20fd051671fa1dd76a64bbdf9ab5020d12036b3

Observation b2c1d501-0b35-4c88-877e-9741943b867c · outbound

This paper cites Kesten, B.P.

The friendship paradox for trees Kesten, B.P

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:34:15.187749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:34:13.081259Z digest=sha256:5a1a61e60e296781db44b383c84bfc2edac66d345677244e06d0bdd56d5fa7c5

Observation 357e18e9-8b72-4670-9956-7b1b17f94247 · outbound

This paper cites Krishnamurthy, B.

The friendship paradox for trees Krishnamurthy, B

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:34:15.028813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:34:13.193745Z digest=sha256:ca8223c56db8f4ef65e56d32b82c097344098a0d9d76d2e4fbf8e4e819ae3b81

Observation 5130ab7b-df52-47ed-b45f-0690467a529d · outbound

This paper cites majority illusion.

The friendship paradox for trees majority illusion

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:34:14.753860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:34:13.292765Z digest=sha256:89dc9162de0420df0a3eacee51e0c5e2c6f2d9c6a59333b55d5c6cf508acd672

Observation 1ca329ef-c9cc-4448-97cd-862928eb3803 · outbound

This paper cites an unresolved cited work.

The friendship paradox for trees Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:34:14.479268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:34:13.394967Z digest=sha256:da5220c7d610cb88fa7a96ddb9a72337d55b4e5acbe759bcf9b3e937cf1c351c

Observation 043e18e6-b812-4696-879d-87283737b75f · outbound

This paper cites Rosenblatt, J.A.

The friendship paradox for trees Rosenblatt, J.A

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:34:14.163293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:34:13.558996Z digest=sha256:65e470a02d86c6bbf5b2860ee9c01d1a84bbd644b91d64fbb53eab9b1ba0ea15

Pith citing papers

Observation 14e2db57-2368-48b9-9110-298ba6fd9e21 · inbound

Large deviation principle for friendship-biases in Galton--Watson trees cites this paper.

Large deviation principle for friendship-biases in Galton--Watson trees The friendship paradox for trees

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-07-27T01:19:46.528688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T23:34:44.828718Z digest=sha256:f6ff332009d68a5529fd6230da86014b0251264041e6b240ee45835a3502919d

Observation 5fe4e61f-b4f9-4808-9ab4-b9df2896b970 · inbound

The Generalized Friendship Paradox for Eigenvectors cites this paper.

The Generalized Friendship Paradox for Eigenvectors The friendship paradox for trees

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-01T12:33:30.095588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T12:33:30.095588Z digest=sha256:c4199bf6a5c91a543a0e8a83d32829e589d63a2225a6a64fb34470e00e54b6f4