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Paper Citation Record · LEDGER

Concentration of Broadcast Models on Trees

As of 16 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:1908.08121.

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

pith.paper-citation-record.v1
1908.08121 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:55:52.261399Z

measured 18 of 18 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

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy13
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4e9606b0-b14e-4946-b469-be361b0e9328 · outbound

This paper cites Markov Chains Indexed by Trees.The Annals of Probability, 22(1):219– 243, 1994.

Concentration of Broadcast Models on Trees Markov Chains Indexed by Trees.The Annals of Probability, 22(1):219– 243, 1994

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:55:53.080770Z

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=2026-08-14T11:55:52.072917Z digest=sha256:2a2854adc069f77b2c7625e7f331b7bd2fce6321939c0b4e48036cf44a100609

Observation 9361313d-bed5-481f-beee-79c2b1543b91 · outbound

This paper cites Exponential Integrability and Transportation Cost Related to Logarithmic Sobolev Inequalities.

Concentration of Broadcast Models on Trees Exponential Integrability and Transportation Cost Related to Logarithmic Sobolev Inequalities

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:55:53.042282Z

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=2026-08-14T11:55:52.086561Z digest=sha256:d5db450cc8590d620554a908675129399f2951c61b9db01e508b203f81b38427

Observation bc8dc37c-eba4-4081-8001-bb95ee89f7e0 · outbound

This paper cites an unresolved cited work.

Concentration of Broadcast Models on Trees Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:55:52.998834Z

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=2026-08-14T11:55:52.097874Z digest=sha256:d5666599719507f2e681d71151e54697b849507810745bd6cc349b89586a10cb

Observation 0ce97c5f-08e1-4ff6-932a-b491aa3cd0a2 · outbound

This paper cites an unresolved cited work.

Concentration of Broadcast Models on Trees Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:55:52.933120Z

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=2026-08-14T11:55:52.105700Z digest=sha256:d4e965e1078a2033691e7f82c5265866a122ac91cb787de32257fa698d2028cc

Observation 344d74d4-e18c-4b5f-b514-55d3f2b283cc · outbound

This paper cites Large Deviations Techniques and Applications, volume 38 of Stochastic Modelling and Applied Probability.

Concentration of Broadcast Models on Trees Large Deviations Techniques and Applications, volume 38 of Stochastic Modelling and Applied Probability

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:55:52.886904Z

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=2026-08-14T11:55:52.116218Z digest=sha256:ad9d2b0390f6a08409d593f9eda959f487df942b33d5e2c44aeedf3bc0373b8c

Observation 0e09f86f-0cba-46de-b67f-d17e4afe32aa · outbound

This paper cites Real Analysis and Probability.

Concentration of Broadcast Models on Trees Real Analysis and Probability

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:55:52.833606Z

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=2026-08-14T11:55:52.128476Z digest=sha256:e986e03f9fe36d01bc1f9403d36537b0593dcf4a9dfc71842d13facd92f4153c

Observation a78cce43-c152-4b42-a94d-815940029e05 · outbound

This paper cites Schulman.

Concentration of Broadcast Models on Trees Schulman

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:55:52.806684Z

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=2026-08-14T11:55:52.140904Z digest=sha256:f0eb9bf8d8e728010513aa7292e053e209b0dabae6dfbca8c65572d5c94e396c

Observation cc57ddb8-75ac-44bd-bed6-2a966712a5e1 · outbound

This paper cites Probability Inequalities for Sums of Bounded Random Variables.

Concentration of Broadcast Models on Trees Probability Inequalities for Sums of Bounded Random Variables

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:55:52.773237Z

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=2026-08-14T11:55:52.158139Z digest=sha256:10b625ca8bd7b9d8a241ae746f1ab75ec1d70df97018494ccb8d10d291cb07f3

Observation d7f82ed5-32ba-4237-85c7-9ab370476ee8 · outbound

This paper cites an unresolved cited work.

Concentration of Broadcast Models on Trees Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:55:52.725099Z

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=2026-08-14T11:55:52.165643Z digest=sha256:8735158002109eab08f8d58ef25bdb65f75e362fe8c4bd622c5e050d982f445e

Observation 899306e9-6268-489e-a41f-bf00fd6e93e5 · outbound

This paper cites Obtaining Measure Concentration from Markov Contraction.

Concentration of Broadcast Models on Trees Obtaining Measure Concentration from Markov Contraction

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:55:52.693927Z

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=2026-08-14T11:55:52.183787Z digest=sha256:fcbed9a1066986a45ffff4bf818081b59482d4682350d0b67c64a8380e77d113

Observation 65f9fbb8-d003-4c36-9f0b-538270bbaf8a · outbound

This paper cites Concentration inequalities for dependent random variables via the martingale method.

Concentration of Broadcast Models on Trees Concentration inequalities for dependent random variables via the martingale method

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:55:52.661086Z

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=2026-08-14T11:55:52.191513Z digest=sha256:cfec68dffba0a8494150ee9af5e63463fcfb078ab71485833ef6dd1d3a728f79

Observation 791534ce-6388-45be-947e-4078baf10cb8 · outbound

This paper cites The Concentration of Measure Phenomenon.

Concentration of Broadcast Models on Trees The Concentration of Measure Phenomenon

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:55:52.627193Z

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=2026-08-14T11:55:52.202366Z digest=sha256:87f63a4c94b7b46c70bbd0d3e82aa4e1e6a223732c496bcca8f7c9df5f51ea75

Observation 9de5f4d5-cf28-4048-8f59-6d46044a31f1 · outbound

This paper cites Random Walks and Percolation on Trees.

Concentration of Broadcast Models on Trees Random Walks and Percolation on Trees

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:55:52.581047Z

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=2026-08-14T11:55:52.212705Z digest=sha256:abf3b959810b5b1d80db85b4bd713ab4e34e93599c6898fd64dec5b1525aa906

Observation 209c0fa6-0248-4cd5-8f2b-ff31d0043cd5 · outbound

This paper cites an unresolved cited work.

Concentration of Broadcast Models on Trees Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:55:52.531161Z

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=2026-08-14T11:55:52.219408Z digest=sha256:116d8effe018f03b1bccd5a797086d31b49ad4f663ca4487c414e49cf5866c5c

Observation 84caec6b-7618-4ec3-96c5-a6749d6cc0e8 · outbound

This paper cites an unresolved cited work.

Concentration of Broadcast Models on Trees Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:55:52.470627Z

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=2026-08-14T11:55:52.229703Z digest=sha256:e9405d0a93358529c22233c4979ff8ba805e88ca2699ebce5860e6dcb435fdd3

Observation 8f360177-33ac-460e-af4a-216b3fe09b3b · outbound

This paper cites Concentration.

Concentration of Broadcast Models on Trees Concentration

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:55:52.424398Z

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=2026-08-14T11:55:52.242563Z digest=sha256:7a2ec66bfb4c1aa1b8fa697d51c08692147da88ee27fa42aa243b28c4734ed92

Observation d577cda0-7bb0-446c-bb53-d2d1e2614fa6 · outbound

This paper cites Information flow on trees.

Concentration of Broadcast Models on Trees Information flow on trees

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:55:52.377717Z

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=2026-08-14T11:55:52.250868Z digest=sha256:0007b2e0f421d06e867badbb0ce80c18e7c1387744afcb39e35f6072b3945666

Observation b3206da4-5c9f-4853-88a7-b3e4e5f8f840 · outbound

This paper cites The NumPy Array: A Structure for Efficient Numerical Computation.

Concentration of Broadcast Models on Trees The NumPy Array: A Structure for Efficient Numerical Computation

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:55:52.334498Z

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=2026-08-14T11:55:52.261399Z digest=sha256:786f46965fe3b4b598aaffe0ac6aa70e44b6291af7c976523811a5fca4012b57

Pith citing papers

No inbound Pith citation observations are available.