Paper Citation Record · LEDGER

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains

As of 20 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2505.14891.

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

pith.paper-citation-record.v1
2505.14891 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:37:40.132531Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

33 of 33 outbound references displayed

verified exact0
verified fuzzy22
unresolved8
parse uncertain0
malformed identifier2
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e6c8523b-8a9b-4387-b842-43a664ab4e57 · outbound

This paper cites https://docs.chia.net/green-paper-abstract/ (2019).

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains https://docs.chia.net/green-paper-abstract/ (2019)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:37:44.843361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 65be921d-c45f-4fb9-a08e-c0587615b1c3 · outbound

This paper cites In: Takagi, T., Peyrin, T.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Takagi, T., Peyrin, T

Reference 2

Resolution: malformed identifier; no resolver link, observed 2026-08-07T15:37:37.218238Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 332c157a-aea8-42b3-a498-d574a56865f8 · outbound

This paper cites In: Lie, D., Mannan, M., Backes, M., Wang, X.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Lie, D., Mannan, M., Backes, M., Wang, X

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:37:44.708179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 535d8186-92c0-4bcd-8863-90510016cc25 · outbound

This paper cites In: Soares, J.M., Song, D., Vukolic, M.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Soares, J.M., Song, D., Vukolic, M

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:37:44.503199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2d831245-5b9a-47a8-a7fe-9c7e757d847f · outbound

This paper cites In: Shacham, H., Boldyreva, A.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Shacham, H., Boldyreva, A

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:37:44.333692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e5cdb8b0-1091-4303-9f6f-8a5447472413 · outbound

This paper cites In: Chaum, D., Rivest, R.L., Sherman, A.T.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Chaum, D., Rivest, R.L., Sherman, A.T

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T15:37:37.770263Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98e206a4-2a0d-4ac2-980f-e5d77aeeb3d6 · outbound

This paper cites https://docs.chia.net/files/Precursor-ChiaGreenPaper.pdf (2019), this is an early proposal and differs significantly from the implemented version [1].

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains https://docs.chia.net/files/Precursor-ChiaGreenPaper.pdf (2019), this is an early proposal and differs significantly from the implemented version [1]

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:37:44.181730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation acca4dee-3c4e-4744-abd1-fecae537cdd6 · outbound

This paper cites In: Gennaro, R., Robshaw, M.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Gennaro, R., Robshaw, M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:37:44.061624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f83e3f26-4015-4b9a-b46c-5801e38e95b5 · outbound

This paper cites In: Katz, J., Shacham, H.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Katz, J., Shacham, H

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T15:37:38.066122Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2d0d0e08-2373-4bdf-8502-d7e050d6699b · outbound

This paper cites Permissionless Consensus.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Permissionless Consensus

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T15:37:38.154525Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cce6296c-8233-4204-b104-f0e0c5d022d7 · outbound

This paper cites In: Meiklejohn, S., Sako, K.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Meiklejohn, S., Sako, K

Reference 11

Resolution: malformed identifier; doi_truncated, observed 2026-08-07T15:37:40.306250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4a6c7217-4c2d-4798-b7fd-57a077d637a3 · outbound

This paper cites Proof (Proof of Theorem 1).We already sketched the general idea in Section 1.4 and will make it more formal here.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Proof (Proof of Theorem 1).We already sketched the general idea in Section 1.4 and will make it more formal here

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:37:43.917594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 90997af1-3693-48c7-8918-d8ba549b2843 · outbound

This paper cites an unresolved cited work.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:37:43.770047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 71770cfe-fcd6-4ad3-93e3-e40fef853da0 · outbound

This paper cites an unresolved cited work.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:37:43.661383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation aa393537-aea0-4813-b143-3c942d98e8c8 · outbound

This paper cites an unresolved cited work.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:37:43.484420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 055dc0ff-442c-4f98-86b8-b4edfcca66c7 · outbound

This paper cites Thuss H i = 1 +ε·s H i−1.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thuss H i = 1 +ε·s H i−1

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:37:43.340256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 33f4d1c8-27cb-4da0-ad33-7dd2897dabb4 · outbound

This paper cites So,s H i = 1 +ε·s H i−1 = (1 +ε) k ≥ϕ.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains So,s H i = 1 +ε·s H i−1 = (1 +ε) k ≥ϕ

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:37:43.191931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f7a2f815-522e-4e20-8e40-b8aa3d15c4d5 · outbound

This paper cites Thus,s H i = (1 +ε) 2k−i.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thus,s H i = (1 +ε) 2k−i

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:37:43.042303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 622b0d06-1643-4702-9d10-a20de01196d9 · outbound

This paper cites Thuss H i = 1.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thuss H i = 1

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:37:42.860886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bfebdcb8-cc2e-4440-a337-f15d516927ef · outbound

This paper cites an unresolved cited work.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:37:42.696497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3d6e9311-0d24-4c7e-b3da-914ecd9a3f37 · outbound

This paper cites Formally,.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Formally,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:37:42.544754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d2aa2c1e-2ffc-4618-b098-b44d7e47b64e · outbound

This paper cites Note that here eCis the honest chain whileCis the adver- sarial chain.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Note that here eCis the honest chain whileCis the adver- sarial chain

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:37:42.357957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c78cf5ce-dea1-49d3-9e03-5094732e431f · outbound

This paper cites Thus,s H i = 1.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thus,s H i = 1

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:37:42.124052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d6f720e7-5b30-4647-a11e-ca20677a733d · outbound

This paper cites Thuss H i = (1 +ε) i−l.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thuss H i = (1 +ε) i−l

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:37:41.973280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e1a43f59-b406-47b7-bd94-27f2299b9466 · outbound

This paper cites Thuss H i = (1 +ε)k ≥ ⌈ϕ⌉.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thuss H i = (1 +ε)k ≥ ⌈ϕ⌉

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:37:41.826979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6bbc6072-1498-4e97-8edd-4acbd95842ab · outbound

This paper cites Thuss H i = (1 +ε)l+2k−i.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thuss H i = (1 +ε)l+2k−i

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:37:41.663104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation be9d34c0-e41f-41ff-9924-b2260a89372a · outbound

This paper cites IfΛ(C ℓ 0, eCℓ.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains IfΛ(C ℓ 0, eCℓ

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:37:41.514094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d75f81e1-88b1-4e3f-ad04-6f6fcce10ae7 · outbound

This paper cites Therefore in either case it is possible to fool the chain selection.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Therefore in either case it is possible to fool the chain selection

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:37:41.343971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bc0dd932-87a7-48fb-8450-5b7fb4d47ea8 · outbound

This paper cites Let’s assumeC j 0 is the honest chain, while eC j 0 is the adversarial one created in the (ϕ,1 +ε, ρ, Λtent) forking game.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Let’s assumeC j 0 is the honest chain, while eC j 0 is the adversarial one created in the (ϕ,1 +ε, ρ, Λtent) forking game

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:37:41.228913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2af4d53c-55c8-4092-ad1a-e78ae2ec815e · outbound

This paper cites Number of rounds required to replot this space, using µ ϕ , is k−1X i=0 ρ· & µ (1+ε)i − µ ϕ µ ϕ ' = k−1X i=0 ρ· ϕ (1 +ε) i −1 ≥ρ· k−1X i=0 ϕ (1 +ε) i −1 =ρ· ϕ·(1 +ε)· 1− 1 ϕ ε −k !.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Number of rounds required to replot this space, using µ ϕ , is k−1X i=0 ρ· & µ (1+ε)i − µ ϕ µ ϕ ' = k−1X i=0 ρ· ϕ (1 +ε) i −1 ≥ρ· k−1X i=0 ϕ (1 +ε) i −1 =ρ· ϕ·(1 +ε)· 1− 1 ϕ ε −k !

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:37:41.100396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f14052e8-c77d-4db0-841c-6cbcc72ebdf8 · outbound

This paper cites Thus in total at leastρ∗lsteps are required.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thus in total at leastρ∗lsteps are required

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:37:40.878254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8c6e71fa-52aa-4719-a89a-4bf0c8ad4b48 · outbound

This paper cites an unresolved cited work.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Unresolved cited work

Reference 2018

Resolution: unresolved; no resolver link, observed 2026-08-07T15:37:37.454371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5ab13cc-ba2f-40f2-93e0-8488a116f2a5 · outbound

This paper cites an unresolved cited work.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Unresolved cited work

Reference 2022

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T15:37:40.655225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.