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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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:44:26.218466Z digest=sha256:927c9511e4cf8a81aed6fb338b70de40ad6972d2c1ed7e41695d7952c9742c1d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:44:26.335200Z digest=sha256:77f5bfb971c88c789704e861e5c0bbaa7bdec8be5b116d5d82fa165ed89beea7

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:44:26.400404Z digest=sha256:6c0c45e05f700a91aec58785d49ca1fcc969ca0fd228320cd4297c7776c43d08

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:44:26.544768Z digest=sha256:23161c209daa31ad4a2720faeb8a94a4a184b31d0b2a66bf25cba99b5d5eede0

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:44:26.684847Z digest=sha256:53ee8c2c6e233d198d57ff368da93752d9ee421660ad14e0676e41b67b0ba634

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:44:26.864835Z digest=sha256:ee4660f567517cd55c06ee31a351943c5057cd7b7c43ea26ced7bb6f70226d8d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:44:26.964976Z digest=sha256:9c130608d8abc186b9d8af5a2b60db0b7e4c5b13917938d4dc80c27376a7dfe2

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:44:27.101626Z digest=sha256:7d91c00f24f078211f72c2d0c7560995ba71a554782e6eaa98f8aca3f301d332

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:44:27.249717Z digest=sha256:f660ad0cd3c6a626d56730fc66e0b645e03bbc27c216f16017ca67dd8afb9e91

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:44:27.412631Z digest=sha256:937ece61bffbff0f8716cde79bae7947b39a3aa26797074b1bf0fbcf2de0558e

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:44:27.546613Z digest=sha256:570541f3662628e9f0ac2aed7fd257a4c1c5d07c5426df8b82a8080902bd72e8

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:44:27.694879Z digest=sha256:f439502a08c620883785c7a822020b79493991f06cdb32d99158e1155937c9be

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:44:27.844887Z digest=sha256:eb920243c90b8fa156b081604bd8ab81dc27b101831c034d4fb3a933e84a32d3

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:44:28.001955Z digest=sha256:c7b4e642e8682de769a57c290205da5648656e44264048dbfe46b829859c1c57

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:44:28.094967Z digest=sha256:7fe143735ac1a81d4195abaa3bbb85b169c6efd3c6e42f8559e23477df162edc

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:44:28.249595Z digest=sha256:4e0c6e68abd0cf153bc00fe5d7b4ccb1d8c505e98ceb63f998237c3117cbab2b

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:44:28.458796Z digest=sha256:93dacbad6dd7b48c20f2e628602d8e8afad448a7fe92e673ccf03ba77acecdc2

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T15:44:28.560857Z digest=sha256:fe9f39886f11d896d1bc7d5416c47485ffa130b910072654f269d983f1d63f77

Pith citing papers

No inbound Pith citation observations are available.