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Paper Citation Record · LEDGER

Moments of balanced P\'olya urns

As of 19 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2505.14198.

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

pith.paper-citation-record.v1
2505.14198 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:44:28.560857Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 91391c51-ffd2-4d5c-89fb-e83ed2d3eeb0 · outbound

This paper cites Athreya and Samuel Karlin: Embedding of urn schemes into continuous time Markov branching processes and related limit the- orems.

Moments of balanced P\'olya urns Athreya and Samuel Karlin: Embedding of urn schemes into continuous time Markov branching processes and related limit the- orems

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:44:34.150819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:44:26.218466Z digest=sha256:95cde81f60005b7e2da9cebe93be0d5f8b2b1ecb6b873a4cc27b4b9443e2f665

Observation 03fabdd9-87b4-4ae5-9a62-07a7e6cab4c2 · outbound

This paper cites Bagchi and A.

Moments of balanced P\'olya urns Bagchi and A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:44:33.810337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:44:26.335200Z digest=sha256:056de53fbad192c9ee9b3abd55c06e60f134f5337b1b00fd9f9245b6cace2d62

Observation 31b7f3f6-307e-4411-af0d-8c594583dd3d · outbound

This paper cites Stochastic Process.

Moments of balanced P\'olya urns Stochastic Process

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:44:33.524545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:44:26.400404Z digest=sha256:0c6c27a9981805928573cc7c5993e0b6a199c14ced76f6d51113005832445d61

Observation 79daab8f-9116-401e-b59f-65b5a246a0c7 · outbound

This paper cites an unresolved cited work.

Moments of balanced P\'olya urns Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:44:33.119235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:44:26.544768Z digest=sha256:b79803949e863f554fe8a90bba9eeea58f79be46feb85234f06ffd290e2a2ddc

Observation bfd39bcc-fbf2-4509-a22d-6b13a1ca059d · outbound

This paper cites Bernstein: Nouvelles applications des grandeurs al´ eatoires presqu’ind´ ependantes.

Moments of balanced P\'olya urns Bernstein: Nouvelles applications des grandeurs al´ eatoires presqu’ind´ ependantes

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:44:32.745603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:44:26.684847Z digest=sha256:19f4d6e32018f7ab0adcfec78509fdc26d5e66a7361e4fccbaaa7c27b43e0033

Observation 817cfa90-84fe-4e8d-a405-80966d1db07a · outbound

This paper cites Bernstein: Sur un probl` eme du sch´ ema des urnes ` a compo- sition variable.

Moments of balanced P\'olya urns Bernstein: Sur un probl` eme du sch´ ema des urnes ` a compo- sition variable

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:44:32.473964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:44:26.864835Z digest=sha256:98a0b5fd5531d2f8d4caf7a223b5ce332f127daa3f051d614b91536a2002c399

Observation e03ded8f-29a7-4d59-9ad0-02c9448ae3fb · outbound

This paper cites Burkholder: Martingale transforms.

Moments of balanced P\'olya urns Burkholder: Martingale transforms

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:44:32.218946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:44:26.964976Z digest=sha256:fd125b7bd4b45aced7cc0f76b6ef7d69aabb26b4a5decff016fc801b492fd66e

Observation cbca4e80-4890-40d5-9e59-68be14ae1453 · outbound

This paper cites Burkholder: Explorations in martingale theory and its ap- plications.

Moments of balanced P\'olya urns Burkholder: Explorations in martingale theory and its ap- plications

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:44:32.004958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:44:27.101626Z digest=sha256:5ce11446d8a25d3cb9ffb1d9ff3cf0725b09f8661de979cef6661b154911e562

Observation 94274f27-f442-427d-b18e-a7a3b90d7cd5 · outbound

This paper cites Eggenberger and G.

Moments of balanced P\'olya urns Eggenberger and G

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:44:31.587721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:44:27.249717Z digest=sha256:02cf45623970aba437fc41676a2bb67d42d8c21a79859943b5a36c4f5e68711b

Observation 67d47251-027b-403b-8e15-e37c2fc78078 · outbound

This paper cites an unresolved cited work.

Moments of balanced P\'olya urns Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:44:31.294768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:44:27.412631Z digest=sha256:0bcfb23c9008bdb2105fe5c44cf12bb3b56392fe88b2fef3b7b133c77134de17

Observation 7fb975b5-301f-4bcf-8040-00d7b1d4c4b7 · outbound

This paper cites an unresolved cited work.

Moments of balanced P\'olya urns Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:44:31.004874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:44:27.546613Z digest=sha256:c877aaf286f687762f5f77220d9f8c005b1a36cf758ee1be6359aa6c0243e5e3

Observation d53db415-74f7-40fb-8ed3-9ee7ab8dfbd2 · outbound

This paper cites an unresolved cited work.

Moments of balanced P\'olya urns Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:44:30.714750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:44:27.694879Z digest=sha256:0ee60f90c96d51abfd23ddbfb827d510dedef0f62d38284fe269c11e94572581

Observation 76121247-b154-4164-b209-ad7fef7eed47 · outbound

This paper cites an unresolved cited work.

Moments of balanced P\'olya urns Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:44:30.404757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:44:27.844887Z digest=sha256:9d495b3213a26d906ebc2287dc1de9cd250fe6f386fd06413e6225e37084727e

Observation 24748c18-90a8-4e7b-811c-7b33fdceddb3 · outbound

This paper cites Almost sure and moment convergence for triangular P\'olya urns.

Moments of balanced P\'olya urns Almost sure and moment convergence for triangular P\'olya urns

Reference 14

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T15:44:29.014882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:44:28.001955Z digest=sha256:3ea5c92e01d41d098037f677d3aa5aec1411afa8f6cfa0ef46cd863bd5e8a06f

Observation f9e44754-af3e-4e6c-a76c-15d2e13b88b9 · outbound

This paper cites an unresolved cited work.

Moments of balanced P\'olya urns Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:44:30.135231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:44:28.094967Z digest=sha256:bb1a0742ab2d1eb3beae61c36beae33aade2d4c215e5f6ee177e8440ddb6a283

Observation 7f78e05f-fbfd-469c-b415-02a3e7035ee9 · outbound

This paper cites Mahmoud: P´ olya Urn Models.

Moments of balanced P\'olya urns Mahmoud: P´ olya Urn Models

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:44:29.834796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:44:28.249595Z digest=sha256:ff9465870eef42c08ac658589792af89c93e3e06b39722a2239d13cc6f5e931e

Observation 86f353d2-0aa8-44c6-9d25-2eefb3a68bfa · outbound

This paper cites Markov: Sur quelques formules limites du calcul des prob- abilit´ es.

Moments of balanced P\'olya urns Markov: Sur quelques formules limites du calcul des prob- abilit´ es

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:44:29.565701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:44:28.458796Z digest=sha256:6c9175ded45582a738ce2a451e6bedec74835ee468cc547801d3a50189a77269

Observation 835231f1-2b8f-4cd0-87ff-b7e584f95a3b · outbound

This paper cites an unresolved cited work.

Moments of balanced P\'olya urns Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:44:29.305789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:44:28.560857Z digest=sha256:ec19c484fe3612323fd7899ca8ca25bbf99b58969d29632ee886e96203b6ff1d

Pith citing papers

No inbound Pith citation observations are available.