Pith. sign in

Paper Citation Record · LEDGER

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos

As of 12 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:2412.20859.

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

pith.paper-citation-record.v1
2412.20859 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:15:09.533631Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T11:02:17.987425Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T19:46:13.865996Z

Reference resolution

33 of 33 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved22
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f4341c4d-7fd1-46b1-859e-8d09fbf9585d · outbound

This paper cites A multitude of studies of the possible role of PBHs in various astrophysi- cal processes and in cosmology have also been performed.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos A multitude of studies of the possible role of PBHs in various astrophysi- cal processes and in cosmology have also been performed

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:15:09.905848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.415774Z digest=sha256:cd69722fc343e924377ee7b64cb353d3fbfab12799dcec3b8c3c5d0d8cd16d99

Observation 70c69c16-2879-4603-ac29-7cbcaa1f3c0e · outbound

This paper cites eq” and the quantities at the present time t0 by the subscript “0.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos eq” and the quantities at the present time t0 by the subscript “0

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:15:09.894823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.421122Z digest=sha256:af0e6e1817f44510a59d4260c1668eb1aedd1b9ce417787fdf41e7afeae4f894

Observation 80da9b7d-a27d-4c41-9923-f8b3f7d827a5 · outbound

This paper cites In this section we will find the part of rt associated with the influence of inflationary DM density perturbations.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos In this section we will find the part of rt associated with the influence of inflationary DM density perturbations

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:15:09.882539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.425327Z digest=sha256:020b32e67e556dd6d810c876078287826bfa0fcef69bb3a7e6ee0d73704e1077

Observation 66d4018d-5096-46eb-8944-dfd4670e78d6 · outbound

This paper cites radius of influence.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos radius of influence

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:15:09.871475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.429435Z digest=sha256:d1ba3ef255059596cce433cd990c260c081ace013df8457398072e1bf0af9ce3

Observation 454b0a26-de25-4ccf-bb6f-ba6c6e92eea7 · outbound

This paper cites an unresolved cited work.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:15:09.860673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.433529Z digest=sha256:d8a1d47242feb3fbc60785a6cf23137d7354b78392f3ab1f56a3c876f5fc7373

Observation 14b678e2-94cd-4d06-889b-a6fcac712b9b · outbound

This paper cites Denote the comoving separations be- tween the components of the PBH pair and between the center of mass of the pair and the third PBH by x and y, respectively.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Denote the comoving separations be- tween the components of the PBH pair and between the center of mass of the pair and the third PBH by x and y, respectively

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:15:09.850029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.437866Z digest=sha256:e7850a451104c8aa82c7c6aa6e5aabc66634db51e13f2aff4f0842aa4e9eff9a

Observation 2621c96f-c0d7-4329-9b67-3c5ecfc62704 · outbound

This paper cites Particles with a low an- gular momentum can pass through the orbit of the PBH pair, causing the energy of its orbital motion to be lost.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Particles with a low an- gular momentum can pass through the orbit of the PBH pair, causing the energy of its orbital motion to be lost

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:15:09.839060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.442298Z digest=sha256:e52aace496a1988cdef58f76f37b074b29e69b361d1e4c4ed2b2be12e1240277

Observation 08719885-1a1c-4c4a-867d-08370303f675 · outbound

This paper cites The DM parti- cles in the halo forming around the PBH pair acquire an angular momentum under the influence of tidal grav- itational forces.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos The DM parti- cles in the halo forming around the PBH pair acquire an angular momentum under the influence of tidal grav- itational forces

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:15:09.827991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.446367Z digest=sha256:b481e4b0adf677fbfb1809b9d4f69dd6f1dff9e112cbb51a210fda6643d81dfc

Observation b8f7d943-4276-480d-8c4a-be000f8c7a78 · outbound

This paper cites and Novikov I.D., Sov.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos and Novikov I.D., Sov

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:15:09.816771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.449845Z digest=sha256:0d579d3f21648318ab9e4106d7c624d2c1766b4899da69cc68233da48db93a5b

Observation ca570ffb-8fcf-4b63-bda2-09832203d6ea · outbound

This paper cites an unresolved cited work.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:15:09.806853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.453431Z digest=sha256:69b1111b5943fe3a835eb3e57bc0d4828d06c6393c5ccd8e313b7b0830061893

Observation 90218480-fbd8-4c17-97d8-6d0418ad4514 · outbound

This paper cites an unresolved cited work.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:15:09.797788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.456813Z digest=sha256:c0a17b50d91a02701b37a678ace377785ba0ea6dd108cb336ba4b7dc4025a6e7

Observation 743e7a5c-4a27-4445-a3db-6382fe3dee46 · outbound

This paper cites an unresolved cited work.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:15:09.788248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.460011Z digest=sha256:338dd8b1a566a432ede502c16e3d74af9f0f6d590f419194b2d3256681f0bf72

Observation 7d55fb69-de0d-4958-a436-05b3cfb0d384 · outbound

This paper cites an unresolved cited work.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:15:09.778250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.463174Z digest=sha256:003de12514da43f8040f9c21689770f758621d31352d0c9f135b4bdb84a23d5a

Observation 35c86145-14f1-427b-8df6-fbe3f356305f · outbound

This paper cites an unresolved cited work.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:15:09.767331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.467085Z digest=sha256:8bcc7d5e381efaf75f675160cf52fbe56dc2392882a55adc3fd249b8c41feaae

Observation 5ed1f523-b33f-4202-9a11-929286cb6d42 · outbound

This paper cites Cos- mol.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Cos- mol

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:15:09.757367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.470539Z digest=sha256:cb7461cd8e015c9ab8a4d467b38c5b6a244b01fc93fd5b85885b9a8e5a79f1c2

Observation 2c5a8305-7dac-48f9-a7e1-feb0f13bf663 · outbound

This paper cites an unresolved cited work.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:15:09.745694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.473832Z digest=sha256:71845244393356d7f8f140e9be8573b4f14683ce51f53e366c1a4da1d0ec8009

Observation c0145b45-c0cd-4157-820b-49a8802001bd · outbound

This paper cites an unresolved cited work.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:15:09.734878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.477361Z digest=sha256:fb301899f529d2281ac85e09f651c98b5f079fa8dcef71cf5673c1385b496ec0

Observation d84d1a10-9534-42bb-b9ba-69f9aa964acc · outbound

This paper cites an unresolved cited work.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:15:09.723459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.480988Z digest=sha256:73320b6ae02a3ba66e1e5d899fcb3b89f2ab33df1cf7c0f96436f550496b2ef9

Observation df108416-a630-4a8c-a27f-85cfc39c3f53 · outbound

This paper cites an unresolved cited work.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:15:09.713935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.484465Z digest=sha256:5ff6d925375b43b3fdbf88bf16e934ca1bc4e95ff5383ee1bde64f4559438134

Observation 5849c47e-bd1e-439c-a7ce-4291c474d29d · outbound

This paper cites an unresolved cited work.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:15:09.704260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.487860Z digest=sha256:51d9e6d622fa4693de4741f0898c0a7b28e6961e9ac23af093ece4760ba324d6

Observation eb54e29f-54c5-484f-9b5b-e29f94a600ff · outbound

This paper cites an unresolved cited work.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:15:09.693973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.491097Z digest=sha256:20616b58e75217de23ac26466ebcb56fd14d0d760d612c196ccd711a9cd9e83e

Observation fda5482b-bbef-4af0-96d9-bf6e734e34c8 · outbound

This paper cites Phys.: Conf.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Phys.: Conf

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:15:09.684655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.494645Z digest=sha256:7c993ff852d323131a1304429bc5b65dd7a952997b6eb51fc0cae3c9ddc64c51

Observation 1022c7f2-0102-4b58-a29c-736a775fbd36 · outbound

This paper cites an unresolved cited work.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:15:09.673990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.497676Z digest=sha256:9b636841484b96466f7f011342b39889077d3267403fe332216ae2707106e4d0

Observation f8a2f665-135e-4aac-a907-643163c21a3f · outbound

This paper cites an unresolved cited work.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:15:09.664214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.501242Z digest=sha256:79a1ce6875946bbee6f3df1eae1c3e4e0dfd27e40b7047bfdb97d0bac38995db

Observation 920e5127-e5d5-459b-acaa-7a7c195930be · outbound

This paper cites an unresolved cited work.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:15:09.653960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.504213Z digest=sha256:a4cae6c1d7ebbca0573b764f37994997b6b130dae39bd01d81204df71a479e29

Observation 90a8e935-b641-418b-8b55-3e87a56acf85 · outbound

This paper cites an unresolved cited work.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:15:09.643614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.507537Z digest=sha256:a9051d40bf1a5af234d82ff5f0c23652ed46246e047502cbf23769f29e9bc853

Observation 17f1348a-95b1-493d-9ebe-b00af148c3df · outbound

This paper cites an unresolved cited work.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:15:09.634269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.513954Z digest=sha256:a4082b10ae32ea82e5c59060509f1d5345e903f0e5fa86a4e576acb9874307d8

Observation 30515307-a71b-47f1-92ab-a35510d25869 · outbound

This paper cites an unresolved cited work.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:15:09.623983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.517037Z digest=sha256:6cb440fac2b5c1d63bcc8a34e404963cb262ca9a25de4c101f84870718ffc801

Observation dfb4ecc9-fd86-44fc-8a68-8b3a42c49cb2 · outbound

This paper cites an unresolved cited work.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:15:09.612139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.520576Z digest=sha256:c6b5c7f4ff819f3a45328c3e5df5d570a62680f79a588a2f62f7a95efa442e96

Observation 7ffe16ae-6e0c-420a-98d1-82f04f8e0551 · outbound

This paper cites an unresolved cited work.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:15:09.601542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.524180Z digest=sha256:2605ceb04a42e15df3b3b7103a7d0256bdaad8500ff5676223b9a68f66e042ee

Observation 19448bd9-8eb3-40b4-a671-9bad4989f74b · outbound

This paper cites an unresolved cited work.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:15:09.590134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.527390Z digest=sha256:ce1e8f4d970865300335d23bf19c2e7b47408b4a39870f20fbb9a6116ce1d49c

Observation bd68fb3e-c6c8-47ef-b585-42840b931277 · outbound

This paper cites an unresolved cited work.

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:15:09.578852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.530501Z digest=sha256:a0ecfbbc76bc6485504ec9b69fd7855b178467086227c047b0244270a7e27a20

Observation 5a11bfad-0f20-40b1-b021-3ca2088f7026 · outbound

This paper cites 1, 35 (1996).

Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos 1, 35 (1996)

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:15:09.566688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:15:09.533631Z digest=sha256:2c780244384c819bf6f53ac2b805a16a1fc97e97fbcb603778d1febc5cafc2d2

Pith citing papers

Observation 261d0e29-efc6-4f3a-ae86-ee641a8cb7f9 · inbound

Machine Learning for Multi-messenger Probes of New Physics and Cosmology: A Review and Perspective cites this paper.

Machine Learning for Multi-messenger Probes of New Physics and Cosmology: A Review and Perspective Mergers of Binary Primordial Black Holes in Evolving Dark Matter Halos

Reference 191

Resolution
verified exact
arxiv_id, observed 2026-05-11T19:46:13.870194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-08T11:02:17.987425Z digest=sha256:3a54ad3c9017a67dd38ea0191656ae31798befd6db0b44e2d0ccf4993d739978