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Paper Citation Record · LEDGER

Active phase-space topology unifies depletion and alignment in bacterial flows

As of 20 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2605.29333.

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

pith.paper-citation-record.v1
2605.29333 v1

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T05:55:41.027329Z

measured 49 of 49 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

49 of 49 outbound references displayed

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  • verified fuzzy0
  • unresolved49
  • parse uncertain0
  • malformed identifier0
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External citation measurements

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Outbound references

Observation 18abcac3-8aeb-4794-9325-f1f651ff5cf8 · outbound

This paper cites Einstein, über die von der molekularkinetischen The- orie der Wärme geforderte Bewegung von in ruhen- den Flüssigkeiten suspendierten Teilchen, Annalen der Physik322, 549 (1905).

Active phase-space topology unifies depletion and alignment in bacterial flows Einstein, über die von der molekularkinetischen The- orie der Wärme geforderte Bewegung von in ruhen- den Flüssigkeiten suspendierten Teilchen, Annalen der Physik322, 549 (1905)

Reference 1

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Observation 642ee493-36c6-45db-af3b-dc5686a74bc1 · outbound

This paper cites an unresolved cited work.

Active phase-space topology unifies depletion and alignment in bacterial flows Unresolved cited work

Reference 2

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Observation d8bbed14-cbec-4693-b8a9-5899d785740f · outbound

This paper cites Lauga and T.

Active phase-space topology unifies depletion and alignment in bacterial flows Lauga and T

Reference 3

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Observation 2c1768da-30b4-47b7-a93a-f64a92efd865 · outbound

This paper cites an unresolved cited work.

Active phase-space topology unifies depletion and alignment in bacterial flows Unresolved cited work

Reference 4

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Observation a124d20e-66b6-4dc5-8b8b-b9743eda4bf7 · outbound

This paper cites Bechinger, R.

Active phase-space topology unifies depletion and alignment in bacterial flows Bechinger, R

Reference 5

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:46a2a7bbb7a5ec973e2e137c0ef0de386555f11f17f3b6120418b24b993dc780

Observation 352ff571-57b2-4a86-8593-f45bf96e70c5 · outbound

This paper cites an unresolved cited work.

Active phase-space topology unifies depletion and alignment in bacterial flows Unresolved cited work

Reference 6

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Observation e7033094-c36d-450e-ab3f-867c7cb35c7e · outbound

This paper cites an unresolved cited work.

Active phase-space topology unifies depletion and alignment in bacterial flows Unresolved cited work

Reference 7

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:20e44f1a53190daa7927f53c6d923c9a5951f5c3887b7a15e8a4c307d36027cd

Observation e1107584-305c-41df-8013-52fd7226e582 · outbound

This paper cites Zöttl and H.

Active phase-space topology unifies depletion and alignment in bacterial flows Zöttl and H

Reference 8

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:b5f1fb3e0a3cd5071c8fae203068d86fa9a233ec3c064cfc0a60ea26c293a99b

Observation 70dba9e0-92d2-4a4a-b8db-707f8bc9e391 · outbound

This paper cites an unresolved cited work.

Active phase-space topology unifies depletion and alignment in bacterial flows Unresolved cited work

Reference 9

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:6e6c4a7c5a240a5a659e3aad42d13236746eb84b8728511b2048089dd05a1f6a

Observation a0049a1a-683d-4033-bd3e-148698441820 · outbound

This paper cites Katuri, W.

Active phase-space topology unifies depletion and alignment in bacterial flows Katuri, W

Reference 10

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:8890a270250675c07acfeddd75e507f19cded9f4bc5b75e96eb45ff37cf93c73

Observation 4b7bbf90-bc30-4171-9560-6e341a6c5486 · outbound

This paper cites an unresolved cited work.

Active phase-space topology unifies depletion and alignment in bacterial flows Unresolved cited work

Reference 11

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:c09dd0f63b8c6e7a5b107bac24157afec2049e135bf54e939e422f016e7d5447

Observation 423c47a3-12a1-47b3-bcf7-b4b0c6f7a70b · outbound

This paper cites Kamdar, S.

Active phase-space topology unifies depletion and alignment in bacterial flows Kamdar, S

Reference 12

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:8c830f6cb4bf6f84b7c688322b39af784095ee1d2db5ef760f6912bf2a03bd70

Observation 8453936f-6c68-40bb-b025-0961948ab29e · outbound

This paper cites an unresolved cited work.

Active phase-space topology unifies depletion and alignment in bacterial flows Unresolved cited work

Reference 13

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Observation 9f5d6513-9624-42df-8aca-407b3916ff6c · outbound

This paper cites Heins, L.

Active phase-space topology unifies depletion and alignment in bacterial flows Heins, L

Reference 14

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Observation e23b4616-bb8c-49c3-a729-398494985bc2 · outbound

This paper cites an unresolved cited work.

Active phase-space topology unifies depletion and alignment in bacterial flows Unresolved cited work

Reference 15

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:a8a784891229afeb8a903aa9c8a516b04cd9412d8ab7882be3258f62c6f0fa92

Observation 066530eb-9a21-4200-804e-163cda1b0446 · outbound

This paper cites Uppaluri, N.

Active phase-space topology unifies depletion and alignment in bacterial flows Uppaluri, N

Reference 16

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:1e01e6c755ace9fbabb9c0894e5376ac1beef78031a99bf8b9b1f8470a1e5184

Observation 612b7aee-71ef-43bd-b7aa-9e49f8dbdb47 · outbound

This paper cites Omori, K.

Active phase-space topology unifies depletion and alignment in bacterial flows Omori, K

Reference 17

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Observation 61af7c6e-ec19-40f7-a776-139aedc89756 · outbound

This paper cites Tarama, A.

Active phase-space topology unifies depletion and alignment in bacterial flows Tarama, A

Reference 18

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Observation 487e2fda-1515-4e2a-b8b8-487afd2fb108 · outbound

This paper cites Arguedas-Leiva and M.

Active phase-space topology unifies depletion and alignment in bacterial flows Arguedas-Leiva and M

Reference 19

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Observation 89796354-1975-4098-9c61-478aec44f1f0 · outbound

This paper cites Rusconi, J.

Active phase-space topology unifies depletion and alignment in bacterial flows Rusconi, J

Reference 20

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:cdaee7edd7cb27d6ad04d24a12ec35e4d79e7dbe02a79e627806afd7339dd27d

Observation 7c7f6555-cc3a-4e23-aa0a-0070de503932 · outbound

This paper cites Sokolov and I.

Active phase-space topology unifies depletion and alignment in bacterial flows Sokolov and I

Reference 21

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Observation 9f006596-c63d-43f1-b6c3-59dd3cd1229d · outbound

This paper cites an unresolved cited work.

Active phase-space topology unifies depletion and alignment in bacterial flows Unresolved cited work

Reference 22

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Observation 7e33f716-00dc-4529-826d-c43883416237 · outbound

This paper cites Saintillan and M.

Active phase-space topology unifies depletion and alignment in bacterial flows Saintillan and M

Reference 23

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Observation 63ea544a-e00b-4077-97d0-eb2eae483749 · outbound

This paper cites Kim and S.

Active phase-space topology unifies depletion and alignment in bacterial flows Kim and S

Reference 24

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Observation 58f692b3-6423-4fb6-a9ea-83fcb7d41f1c · outbound

This paper cites Ezhilan and D.

Active phase-space topology unifies depletion and alignment in bacterial flows Ezhilan and D

Reference 25

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Observation d1dad6d8-cf1d-4a79-a842-89f8e7b24fc8 · outbound

This paper cites Tanasijević and E.

Active phase-space topology unifies depletion and alignment in bacterial flows Tanasijević and E

Reference 26

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Observation 9a948c92-0408-4b82-a5fc-1c3b1894e81d · outbound

This paper cites an unresolved cited work.

Active phase-space topology unifies depletion and alignment in bacterial flows Unresolved cited work

Reference 27

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Observation 43a92acd-6ca1-468d-83bf-44b7f761def4 · outbound

This paper cites an unresolved cited work.

Active phase-space topology unifies depletion and alignment in bacterial flows Unresolved cited work

Reference 28

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Observation b6461e61-395d-44a1-a15e-9012700d2284 · outbound

This paper cites Brenner and D.

Active phase-space topology unifies depletion and alignment in bacterial flows Brenner and D

Reference 29

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Observation 1c5b6f4c-d1fa-4083-ba04-c5f85ba9ddd2 · outbound

This paper cites Jiang and G.

Active phase-space topology unifies depletion and alignment in bacterial flows Jiang and G

Reference 30

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Observation dd36fbca-d508-4414-8152-332d5ac2cd85 · outbound

This paper cites an unresolved cited work.

Active phase-space topology unifies depletion and alignment in bacterial flows Unresolved cited work

Reference 31

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Observation e2ba2506-7e35-491b-800c-4f8a0a34e5f1 · outbound

This paper cites Zöttl and H.

Active phase-space topology unifies depletion and alignment in bacterial flows Zöttl and H

Reference 32

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Observation cf9419e2-ffee-4637-a49c-12e81318802c · outbound

This paper cites Aminian, F.

Active phase-space topology unifies depletion and alignment in bacterial flows Aminian, F

Reference 33

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:af30150c03ef83eaf6cde456071fcafba99a0f9e3a60e84874398ab731c1b89a

Observation 43db540a-81ae-4c7a-a4bc-a0345717d613 · outbound

This paper cites Ozcelik, J.

Active phase-space topology unifies depletion and alignment in bacterial flows Ozcelik, J

Reference 34

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:3fdf56bd78b31a9d33d0ed2dbe7f035b51d8c9d7041f6187f6b7b87167a3b19f

Observation fbf8d5d0-f060-4968-8ad4-40ad7d7b10a6 · outbound

This paper cites El-Sayed Ibrahim, Living microrobots target cancer, Nat.

Active phase-space topology unifies depletion and alignment in bacterial flows El-Sayed Ibrahim, Living microrobots target cancer, Nat

Reference 35

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Observation f7d65ffa-0285-4030-9558-3d11912b93ea · outbound

This paper cites an unresolved cited work.

Active phase-space topology unifies depletion and alignment in bacterial flows Unresolved cited work

Reference 36

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Observation 31beffbe-ca07-4e9b-8059-31b4f82f00eb · outbound

This paper cites an unresolved cited work.

Active phase-space topology unifies depletion and alignment in bacterial flows Unresolved cited work

Reference 37

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:fb35e70a6042a8863d9c4b462feba20917db9599c8d564c225c75ab5adc60d27

Observation d705b62a-992e-4166-8ba8-d08ddb581dbb · outbound

This paper cites Le Verge-Serandour and K.

Active phase-space topology unifies depletion and alignment in bacterial flows Le Verge-Serandour and K

Reference 38

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:8bf56cc945db64c0c2deb06c8db7a790a741fd78c5d6d439235111e3295f4b21

Observation 3ad93404-bf93-4108-ad11-abcd33ce9138 · outbound

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Active phase-space topology unifies depletion and alignment in bacterial flows Unresolved cited work

Reference 39

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:36f8f236aa160afb96232a4b862f2b5c78690ab60f7b40cced3015b9e0617eb2

Observation 0107463d-42da-4bd3-9175-7563e1f72b40 · outbound

This paper cites an unresolved cited work.

Active phase-space topology unifies depletion and alignment in bacterial flows Unresolved cited work

Reference 40

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:39db65c5cff3b60b6bb83c0b49a5a7daf99c4d9397d8bb4b55800ff6d92ae679

Observation f5fcefdc-b1ae-4b33-868d-c775874a36ec · outbound

This paper cites Stocker, Marine microbes see a sea of gradients, Sci- ence338, 628 (2012).

Active phase-space topology unifies depletion and alignment in bacterial flows Stocker, Marine microbes see a sea of gradients, Sci- ence338, 628 (2012)

Reference 41

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Observation b3c85952-9036-4b24-a7ee-278c6ba65700 · outbound

This paper cites Théry, A.

Active phase-space topology unifies depletion and alignment in bacterial flows Théry, A

Reference 42

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no resolver link, observed 2026-06-29T05:55:41.027329Z

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:e114f894cea53200e939f9db150a44fd9c8fcf2217b71db3c20f947c9388beda

Observation 5a359a16-b18d-4de0-8069-7c1370b7d20c · outbound

This paper cites an unresolved cited work.

Active phase-space topology unifies depletion and alignment in bacterial flows Unresolved cited work

Reference 43

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no resolver link, observed 2026-06-29T05:55:41.027329Z

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:9ad654d397d56893fd2a63ae19e8a4d867906449fb4deb8daae143f0367c945d

Observation 309a3cee-c4c4-4f79-9b23-b7101b959638 · outbound

This paper cites Jiang and G.

Active phase-space topology unifies depletion and alignment in bacterial flows Jiang and G

Reference 44

Resolution
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no resolver link, observed 2026-06-29T05:55:41.027329Z

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:a4f9fe675bf637acba868b55989b4fb4f163bbdbb02f8184ad3d483aa0b8f9be

Observation c1cea820-c76e-4eed-add5-c5d3a13235a7 · outbound

This paper cites an unresolved cited work.

Active phase-space topology unifies depletion and alignment in bacterial flows Unresolved cited work

Reference 45

Resolution
unresolved
no resolver link, observed 2026-06-29T05:55:41.027329Z

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:5517bf7cf86e534232204ad7a81454e6bfd1edcddc562579386ac5a3bbabafd1

Observation 0d58fafc-2ebe-4564-8daa-643e69881290 · outbound

This paper cites an unresolved cited work.

Active phase-space topology unifies depletion and alignment in bacterial flows Unresolved cited work

Reference 46

Resolution
unresolved
no resolver link, observed 2026-06-29T05:55:41.027329Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:54b224915ea78bdaf61c229457cc5f6aad2488a53f89b9898ec5f144ba83a8af

Observation 3869c2a9-8380-4529-99f1-4dabb0ec4d7e · outbound

This paper cites angular-only.

Active phase-space topology unifies depletion and alignment in bacterial flows angular-only

Reference 47

Resolution
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no resolver link, observed 2026-06-29T05:55:41.027329Z

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:6ea868d52115957d3038db55e48abe733570db2a765782356130e5a2de372255

Observation 1fbe974d-5608-44b6-aca2-95fcf62ebf1e · outbound

This paper cites an unresolved cited work.

Active phase-space topology unifies depletion and alignment in bacterial flows Unresolved cited work

Reference 48

Resolution
unresolved
no resolver link, observed 2026-06-29T05:55:41.027329Z

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:3631b59c81bfbdccec8e7a702a33f92fe0dd11b7e3146dd99a123d9ea78a93ae

Observation fc55b5ae-85f5-409a-a72d-cb5e4d6e78f5 · outbound

This paper cites h−lnr αr 2 −1 # = 0.(S40) Thusrbehaves as if it was under the influence of an effective potential V(r) = 1 2.

Active phase-space topology unifies depletion and alignment in bacterial flows h−lnr αr 2 −1 # = 0.(S40) Thusrbehaves as if it was under the influence of an effective potential V(r) = 1 2

Reference 49

Resolution
unresolved
no resolver link, observed 2026-06-29T05:55:41.027329Z

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source=pdf_text observed=2026-06-29T05:55:41.027329Z digest=sha256:3f28505bf6b11a42373f491c45762408f24ca894384c5a01b8897cc6e7bf3b58

Pith citing papers

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