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Paper Citation Record · LEDGER

Two-type annihilating systems on the complete and star graph

As of 16 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:1908.03218.

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

pith.paper-citation-record.v1
1908.03218 v4

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:36:44.419749Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

29 of 29 outbound references displayed

  • verified exact4
  • verified fuzzy20
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0401c520-bc2c-4897-94d5-6ba3918635aa · outbound

This paper cites an unresolved cited work.

Two-type annihilating systems on the complete and star graph Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:36:45.368272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.116520Z digest=sha256:665d3a6aa707de378a5662d02ca6b988541a9388b3d175cdb931257e02d08de8

Observation 9e198d16-e8a6-4c97-8b08-ea8dfe981db7 · outbound

This paper cites an unresolved cited work.

Two-type annihilating systems on the complete and star graph Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:36:45.342924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.134954Z digest=sha256:30face7275586cf0d13c0a2234f926ef639ded198f320a053e60cb04e426682b

Observation 0263e064-e134-43bb-84f4-93cecee6e62f · outbound

This paper cites Diffusion-limited annihilating systems and the increasing convex order.

Two-type annihilating systems on the complete and star graph Diffusion-limited annihilating systems and the increasing convex order

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:36:44.636087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.156923Z digest=sha256:a82931e116e76827a984977e07f6f1000e410516d60596e683db7d8e55092a99

Observation 41d657fd-3588-451a-acef-cec82c3b26c3 · outbound

This paper cites 2, 183--196.

Two-type annihilating systems on the complete and star graph 2, 183--196

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:45.297611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.164328Z digest=sha256:b53170257b049fa290ef4f6ea885b7dd306588d6a5eac5b277eb7fb3910a66cf

Observation 43cd7a93-b611-4f72-8553-74d95f0c3536 · outbound

This paper cites 21, 2397.

Two-type annihilating systems on the complete and star graph 21, 2397

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:45.261560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.176419Z digest=sha256:774ec0e6a791416985a55a971f4015089c56f654d3ecfdaf04f8834aa5402237

Observation d13d5494-1a89-47c4-9414-66615ccb9b05 · outbound

This paper cites 1, 88--94.

Two-type annihilating systems on the complete and star graph 1, 88--94

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:45.233327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.184073Z digest=sha256:d2f1d4fc2d0de0a9b8fe9a2a59e627679b4ce1a341b05b6e84aec74e9f82b067

Observation 06025827-394b-47fb-b1f8-2863984bb506 · outbound

This paper cites 1-2, 297--372.

Two-type annihilating systems on the complete and star graph 1-2, 297--372

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:45.201245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.194427Z digest=sha256:11612f87926fe94bba5cb7b794235c363cd51665a0800f35c3429a23516d040b

Observation 4dd726b3-a6b4-4eae-a088-21cefc817b7c · outbound

This paper cites an unresolved cited work.

Two-type annihilating systems on the complete and star graph Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:36:45.177315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.203948Z digest=sha256:65218a88fd654f1a225dd9402db110faf789d110435dd48531426e475e5cf2c9

Observation 35ac2ffd-7d21-4c5d-ae1b-db869284fe62 · outbound

This paper cites 4, 1748--1758.

Two-type annihilating systems on the complete and star graph 4, 1748--1758

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:45.140204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.224463Z digest=sha256:cc9a335a594da986398d5f05a7cad1e55244d7e82ce99d4af740777990a94938

Observation d91c4573-1a07-4906-a004-d09a22073a59 · outbound

This paper cites 399--410.

Two-type annihilating systems on the complete and star graph 399--410

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:45.110155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.246655Z digest=sha256:1637e34bbcdc609c52305f4559c0bb3b814a276e50edea4affe28e418734f7cb

Observation e3b46b25-8953-4fed-8e2a-ab795a7026f7 · outbound

This paper cites Discrete Math.

Two-type annihilating systems on the complete and star graph Discrete Math

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:45.086390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.259619Z digest=sha256:db16115c853fcd7f80550c3426a59a442150db4a0800bd09fa2141c81f7981c1

Observation 4c52bb8b-4533-4c3a-a73e-318cae544f8a · outbound

This paper cites 4, 1333--1366.

Two-type annihilating systems on the complete and star graph 4, 1333--1366

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:45.054342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.266560Z digest=sha256:83e227778550d3251c901b29d8c6b7fa838d79a74369230d92fad79bc8f8dce3

Observation 157558ca-a270-43a3-9582-b6cc557864a7 · outbound

This paper cites Cabezas, L.

Two-type annihilating systems on the complete and star graph Cabezas, L

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:45.015078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.275266Z digest=sha256:2d866457c70ebf99ec7a6c0663daa1f94af4f2456a92de8f5122afcfa610a891

Observation 441312a9-c4f6-45d7-b0e8-99fa6c5bc97c · outbound

This paper cites 3, 587--615.

Two-type annihilating systems on the complete and star graph 3, 587--615

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:44.985996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.281626Z digest=sha256:99751645f88d76b01740a63514ccff80d5e04c745ab154524d81fc4f0d6919af

Observation 418c9258-d3ce-4449-9561-2dd1b3371168 · outbound

This paper cites Parking on transitive unimodular graphs.

Two-type annihilating systems on the complete and star graph Parking on transitive unimodular graphs

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:36:44.597174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.291648Z digest=sha256:4716c7d829cb2cff70c3d06afb6635cb54f544e5d6c7676fe7eb4f16eb43d943

Observation a8793866-9f3c-4c45-b01c-87a255f589b4 · outbound

This paper cites 49, Cambridge university press, 2019.

Two-type annihilating systems on the complete and star graph 49, Cambridge university press, 2019

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:44.960682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.300550Z digest=sha256:ddf5161da0ba85daadbba36b184a4164c2eadf6178e436415491f183736ab0cd

Observation 00b616bd-85b0-4467-b8ae-a72621e92471 · outbound

This paper cites Erdos and P.

Two-type annihilating systems on the complete and star graph Erdos and P

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:44.937677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.306207Z digest=sha256:ed3a9dc93d4adf910c9cd22eb45d232b7bc831a000fcdcfabe54542c74712565

Observation 9e2b0cc2-54d2-4a09-beea-0c0ca125cafe · outbound

This paper cites 1, 23--45.

Two-type annihilating systems on the complete and star graph 1, 23--45

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:44.908222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.316604Z digest=sha256:8d32dfd3962dcbbd858f39cc537ef99b37a98a6246020c120cb555e005828974

Observation 0238dd58-c40e-49d3-af2f-13105483f4e6 · outbound

This paper cites Particle density in diffusion-limited annihilating systems.

Two-type annihilating systems on the complete and star graph Particle density in diffusion-limited annihilating systems

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:36:44.555165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.326384Z digest=sha256:313db94b5ac60f5ab33977bb86da34a1575259c9e960cb6da6b71530a4228036

Observation 16517616-9040-4bac-b512-48c1903fb556 · outbound

This paper cites 956--965.

Two-type annihilating systems on the complete and star graph 956--965

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:44.875101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.335803Z digest=sha256:34bd8d0d070a7ba93a0e9befdc944039f2ff906b887495efbd3a4aac527616ff

Observation 1ecf3190-a239-40b4-8364-be45f2149fef · outbound

This paper cites Kang and S.

Two-type annihilating systems on the complete and star graph Kang and S

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:44.851153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.344757Z digest=sha256:ec31e407becf22d91f348989dffc7044a46a850b846f2eba97e474018a080d1e

Observation 065ffbba-a271-4974-9d09-5d3eee2aee2d · outbound

This paper cites Konheim and Benjamin Weiss, An occupancy discipline and applications, SIAM Journal on Applied Mathematics 14 (1966), no.

Two-type annihilating systems on the complete and star graph Konheim and Benjamin Weiss, An occupancy discipline and applications, SIAM Journal on Applied Mathematics 14 (1966), no

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:44.822625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.353517Z digest=sha256:f5ebbdcbb20f23805a499b3dd2c6c924174dfa3c53d530f3e299305b862565fa

Observation b0068e58-4815-4479-98f4-350fb71a4303 · outbound

This paper cites Lee and John Cardy, Renormalization group study of the A+B 0 diffusion-limited reaction , Journal of Statistical Physics 80 (1995), no.

Two-type annihilating systems on the complete and star graph Lee and John Cardy, Renormalization group study of the A+B 0 diffusion-limited reaction , Journal of Statistical Physics 80 (1995), no

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:44.795652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.362460Z digest=sha256:999743a53466b137947ae24613e3debf0b29a94ff68c0bbe7cdb73eb6f55edbe

Observation 3c3b96d6-a0b5-4225-95c1-5c17876b510d · outbound

This paper cites 13, 1977, pp.

Two-type annihilating systems on the complete and star graph 13, 1977, pp

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:44.773348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.372224Z digest=sha256:24a558373c82831c114b10957e3cc1aacc6836754c4a8e6cec031814c4d7b970

Observation 57ca22b5-b32b-40db-8b7d-cf67e5f556a4 · outbound

This paper cites an unresolved cited work.

Two-type annihilating systems on the complete and star graph Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:36:44.740792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.384677Z digest=sha256:5a8e97cf61cb12fac2a469ace23ff99b9282cbf13e27780296bbab36fd92f367

Observation ea1888e1-438e-4c89-ab02-610f30218982 · outbound

This paper cites 1-2, 215--218.

Two-type annihilating systems on the complete and star graph 1-2, 215--218

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:44.715574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.391055Z digest=sha256:aafc58de3bf40ba2ada3465609d526869097ce14784c239eb67d20e8b37873ba

Observation 6cc8db12-091f-4c5f-9ae4-790335b47c05 · outbound

This paper cites Parking on the integers.

Two-type annihilating systems on the complete and star graph Parking on the integers

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:36:44.510987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.397192Z digest=sha256:4de19b2a61bd932047717ed4813ef05f623ad2f28cc06ea5f7ea37d1ea9b196f

Observation e0e03666-c3f0-442e-9374-f25dce45ad74 · outbound

This paper cites an unresolved cited work.

Two-type annihilating systems on the complete and star graph Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:36:44.688290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.407577Z digest=sha256:b2b34470b4345e0d5f20835d03c5ba5aea007872f741d03bcbcbb0b22ace8c18

Observation f9140f12-080d-4717-8248-3f23d72aa0f4 · outbound

This paper cites 5, 2642--2647.

Two-type annihilating systems on the complete and star graph 5, 2642--2647

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:36:44.665718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:36:44.419749Z digest=sha256:79955db9aae15ce7ae1b881bab0309fb083d34631b30af5da514ef6845701d01

Pith citing papers

No inbound Pith citation observations are available.