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Paper Citation Record · LEDGER

Some harmonic functions for killed Markov branching processes with immigration and culling

As of 16 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:1908.04714.

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

pith.paper-citation-record.v1
1908.04714 v5

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:48:23.726632Z

measured 32 of 32 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

32 of 32 outbound references displayed

  • verified exact1
  • verified fuzzy8
  • unresolved23
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4a1d20a4-4b8f-43fb-b7f7-6f928d8d2bb7 · outbound

This paper cites Asmussen and H.

Some harmonic functions for killed Markov branching processes with immigration and culling Asmussen and H

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:48:26.781212Z

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=2026-08-14T13:48:22.022605Z digest=sha256:39a8121643fff319b0d574e9cf69ff057c0f3eca5d6a98103c21b79fa7829d25

Observation d9719be1-9001-4b7a-ab5e-c4879cf17276 · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:26.671216Z

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=2026-08-14T13:48:22.053173Z digest=sha256:f9cf4bf4675f1da4867f541b9ec19d139bfdfb3eca94155d5748658ad4e64f5c

Observation 271d9d0f-1654-4837-9ea5-f04d20dd59d4 · outbound

This paper cites Avram, P.

Some harmonic functions for killed Markov branching processes with immigration and culling Avram, P

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:48:26.470307Z

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=2026-08-14T13:48:22.106119Z digest=sha256:11b44520a0b6aa0ee787204b2a7a913bbaace425b54a2a47a5ae58077f6d89cf

Observation 46878338-e324-4000-b83b-b6e02e075743 · outbound

This paper cites Avram and M.

Some harmonic functions for killed Markov branching processes with immigration and culling Avram and M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:48:26.343509Z

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=2026-08-14T13:48:22.164502Z digest=sha256:cbbf441da369aae745b43688f4c6e2dad679b9cefdd760b211f162eefaa6d79d

Observation 156589e5-258a-49bb-9cc0-696c74a90896 · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:26.280299Z

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=2026-08-14T13:48:22.265679Z digest=sha256:6fc5f9fec85e597d1e3db4ad0e55491b692c39f818e14cf1e80e874a8d098dff

Observation a792d174-5629-400e-9a41-6aacbdd7e704 · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:26.265152Z

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=2026-08-14T13:48:22.366060Z digest=sha256:ea647994ac6c8109eee8e3362f48fa47a3f56abe35f27a0817096ad30fd01cbb

Observation d43bfc28-bd39-4b4f-b6ad-a4c7315df395 · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:26.215221Z

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=2026-08-14T13:48:22.371955Z digest=sha256:9ebc37cce3256acd089e208fe2180d269806039683386ee26115b3d5a9b398c7

Observation c28493d8-2a8d-497b-a2d5-cd1a8ca9e524 · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:25.697816Z

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=2026-08-14T13:48:22.378209Z digest=sha256:c7fed0a65651e2d3c42b728efc0282b275581010349a8910466ee0a04ce7d277

Observation 43424169-b226-469a-b40a-cae9e4718bb4 · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:24.915234Z

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=2026-08-14T13:48:22.382756Z digest=sha256:0a5344bd59923773bb44cbca741648cdfdd6d4a237023ab12b79d73cd830f64e

Observation 66c1635d-836f-4b5e-9499-0fa58879dbee · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:24.754848Z

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=2026-08-14T13:48:22.388190Z digest=sha256:0add6af7d723117583f7146ae17a0164292502f0c576fa858dca11a5b114e1c9

Observation 57cadb71-9379-40f4-a162-375b1316c20d · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:24.741240Z

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=2026-08-14T13:48:22.393381Z digest=sha256:88b48b8de7421c6e5aa551dfebe0bcb3ac1f46df475b5fe8247ddeb80a1b6c23

Observation e9f55834-0444-4c3f-a8ba-cb88cb677c67 · outbound

This paper cites Duhalde, C.

Some harmonic functions for killed Markov branching processes with immigration and culling Duhalde, C

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:48:24.714075Z

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=2026-08-14T13:48:22.397719Z digest=sha256:f6cfe9964791bc0fb1792f737acb02b5c1bcf77a783fe383dc76cb9b174eb3c9

Observation bd9564e6-6ecf-42e0-aaa8-c14687150e0a · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:24.534349Z

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=2026-08-14T13:48:22.401725Z digest=sha256:76dbe928ec518cf0f00488b24df8906fdab8a48e14a4a85af3d5ca6aba05b0bf

Observation 894602fb-edfb-4572-a6da-3de08a241ba8 · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:24.489729Z

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=2026-08-14T13:48:22.407134Z digest=sha256:53027bbf8b3b64f8b9640bdfdb3a6c8a4707c4e00b7e206bf7144e4518bea5bc

Observation cd2f7810-a6b2-428b-911d-cea36711555b · outbound

This paper cites Garcia-Millan, J.

Some harmonic functions for killed Markov branching processes with immigration and culling Garcia-Millan, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:48:24.474311Z

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=2026-08-14T13:48:22.411696Z digest=sha256:bf53bf2dbe4b7a497517287b69a11a7a5c9d8310c504daad8b75b4d99786e620

Observation 968065c9-56ff-4296-9b9b-b047baa7e2c6 · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:24.459443Z

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=2026-08-14T13:48:22.415518Z digest=sha256:81e61e108f290a413e139e58f27a3971163ba7cb78e6ef524f2069b43f47faf1

Observation e24c3c83-c406-49c1-864a-6322ba9f14dc · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:24.442485Z

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=2026-08-14T13:48:22.420245Z digest=sha256:bb394b661b83cc4a5b96c24a1255fd244d5b1ddc95474eec7430554eb5683f53

Observation 152d9449-3b73-4264-8646-0e73c90876da · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:24.423950Z

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=2026-08-14T13:48:22.424556Z digest=sha256:411cf28fbf9824238b27443b096086cc0f7eeba324acb91965c6cab43f4f4500

Observation cefaec15-8fad-4a0a-8996-9a925f3abe04 · outbound

This paper cites Kuznetsov, A.

Some harmonic functions for killed Markov branching processes with immigration and culling Kuznetsov, A

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:48:24.405895Z

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=2026-08-14T13:48:22.429505Z digest=sha256:2531da460dbe2adcab4bcf3b46cab77d26620c8cb808c7847dab6a5193c7f06a

Observation d438d74e-8b6c-4791-aadc-1e0ac5ddfb0b · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:24.252509Z

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=2026-08-14T13:48:22.434990Z digest=sha256:02b2576d4c75500fb618ff9e1f31887c38d8a3702cebd207ed9db20868752064

Observation 13c4a798-7fba-4ec2-b88d-8253003ccff7 · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:24.241082Z

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=2026-08-14T13:48:22.440068Z digest=sha256:60aef47b78b3cf314a477393624e023a2ffceeb216e69f713c2be2b986643411

Observation 5a93ba2e-828c-4f4b-9052-dfcb387444e1 · outbound

This paper cites Li and Z.

Some harmonic functions for killed Markov branching processes with immigration and culling Li and Z

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:48:24.227702Z

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=2026-08-14T13:48:22.481147Z digest=sha256:7a5a1a0eb1bfbf0e46f748da5ccb48d268eeb6fbbc39210556362fd027840d6d

Observation eabb318e-4c35-4956-998a-bc1b959ea3c5 · outbound

This paper cites Li and A.

Some harmonic functions for killed Markov branching processes with immigration and culling Li and A

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:48:24.214108Z

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=2026-08-14T13:48:22.592213Z digest=sha256:c7d9f2a3b5e12347ad1e8256ab2cdea7b8b63e64a38f21b61121ac2dc2b50912

Observation e860c3c7-365c-4004-a76c-e21de67c8cc7 · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:24.201087Z

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=2026-08-14T13:48:22.709769Z digest=sha256:6a98d9b89ae5f4f76f46cccd53a24aab25deed381ebda25fecf77fb90c63b283

Observation 70db01d8-68e6-47e8-b174-bf28cb2b05a6 · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:24.187088Z

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=2026-08-14T13:48:22.845825Z digest=sha256:70796c1f5128b8088de77b18aed4afedfc3ee6175e27b9c05fe9a4cfa35c2867

Observation 49788da0-36e2-4942-8de6-d975158370e8 · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:24.077310Z

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=2026-08-14T13:48:23.068242Z digest=sha256:c5be4ed43813221f7ce04199ca28a6f86de7bb490515c033e26d9d230d6ecfaa

Observation 3dc3d136-c7b4-4700-a35b-48c2bc36dafc · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:23.955291Z

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=2026-08-14T13:48:23.197953Z digest=sha256:089efa3db0b20f63f913eff461543fc5b82bd3999cfb6fca5928585430d9efff

Observation 4f1830aa-67e5-42aa-bca3-509efca8d7cc · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:23.935864Z

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=2026-08-14T13:48:23.307816Z digest=sha256:61fb76f585702320bfcbe56c917a7ff74dfe21c957b079f4070c06dc25de8c05

Observation 2610da57-def9-491c-994f-bcd2942ae3d2 · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:23.916657Z

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=2026-08-14T13:48:23.457246Z digest=sha256:19179c37802b5c5ceed956055f64358bad811429ff73f7cce5cd7c5a2e475114

Observation 12c3ed0d-87c7-4d2b-81a7-4a77b5d5e375 · outbound

This paper cites Exit problems for positive self-similar Markov processes with one-sided jumps.

Some harmonic functions for killed Markov branching processes with immigration and culling Exit problems for positive self-similar Markov processes with one-sided jumps

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:48:23.870500Z

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=2026-08-14T13:48:23.634755Z digest=sha256:305720c3d3528d8edd00e6286e7cfd9f3f2fef6427283008cf76d98abbf6d171

Observation 059871c5-c8c2-4dc7-b4ba-96b78298d2e4 · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:23.902291Z

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=2026-08-14T13:48:23.719462Z digest=sha256:0f8a5916c50bd829bbe2f9463bb28f9d8a6528ccd99355f3dcc55ac9b515f430

Observation e9a26348-6000-4f66-b5a9-e7b099d772c2 · outbound

This paper cites an unresolved cited work.

Some harmonic functions for killed Markov branching processes with immigration and culling Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:48:23.889160Z

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=2026-08-14T13:48:23.726632Z digest=sha256:5025c00665024565b41f4a73ceccb11c0ba88e9202dfd36c131a8b0f687bd4d2

Pith citing papers

No inbound Pith citation observations are available.