Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T15:37:40.132531Z
Paper Citation Record · LEDGER
As of 8 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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T15:37:40.132531Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
33 of 33 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation e6c8523b-8a9b-4387-b842-43a664ab4e57 · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains https://docs.chia.net/green-paper-abstract/ (2019)
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 65be921d-c45f-4fb9-a08e-c0587615b1c3 · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Takagi, T., Peyrin, T
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 332c157a-aea8-42b3-a498-d574a56865f8 · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Lie, D., Mannan, M., Backes, M., Wang, X
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 535d8186-92c0-4bcd-8863-90510016cc25 · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Soares, J.M., Song, D., Vukolic, M
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2d831245-5b9a-47a8-a7fe-9c7e757d847f · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Shacham, H., Boldyreva, A
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e5cdb8b0-1091-4303-9f6f-8a5447472413 · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Chaum, D., Rivest, R.L., Sherman, A.T
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 98e206a4-2a0d-4ac2-980f-e5d77aeeb3d6 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation acca4dee-3c4e-4744-abd1-fecae537cdd6 · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Gennaro, R., Robshaw, M
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f83e3f26-4015-4b9a-b46c-5801e38e95b5 · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Katz, J., Shacham, H
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2d0d0e08-2373-4bdf-8502-d7e050d6699b · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Permissionless Consensus
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cce6296c-8233-4204-b104-f0e0c5d022d7 · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Meiklejohn, S., Sako, K
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4a6c7217-4c2d-4798-b7fd-57a077d637a3 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 90997af1-3693-48c7-8918-d8ba549b2843 · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 71770cfe-fcd6-4ad3-93e3-e40fef853da0 · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation aa393537-aea0-4813-b143-3c942d98e8c8 · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 055dc0ff-442c-4f98-86b8-b4edfcca66c7 · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thuss H i = 1 +ε·s H i−1
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 33f4d1c8-27cb-4da0-ad33-7dd2897dabb4 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f7a2f815-522e-4e20-8e40-b8aa3d15c4d5 · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thus,s H i = (1 +ε) 2k−i
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 622b0d06-1643-4702-9d10-a20de01196d9 · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thuss H i = 1
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bfebdcb8-cc2e-4440-a337-f15d516927ef · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3d6e9311-0d24-4c7e-b3da-914ecd9a3f37 · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Formally,
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d2aa2c1e-2ffc-4618-b098-b44d7e47b64e · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c78cf5ce-dea1-49d3-9e03-5094732e431f · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thus,s H i = 1
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d6f720e7-5b30-4647-a11e-ca20677a733d · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thuss H i = (1 +ε) i−l
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e1a43f59-b406-47b7-bd94-27f2299b9466 · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thuss H i = (1 +ε)k ≥ ⌈ϕ⌉
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6bbc6072-1498-4e97-8edd-4acbd95842ab · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thuss H i = (1 +ε)l+2k−i
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation be9d34c0-e41f-41ff-9924-b2260a89372a · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains IfΛ(C ℓ 0, eCℓ
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d75f81e1-88b1-4e3f-ad04-6f6fcce10ae7 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bc0dd932-87a7-48fb-8450-5b7fb4d47ea8 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2af4d53c-55c8-4092-ad1a-e78ae2ec815e · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f14052e8-c77d-4db0-841c-6cbcc72ebdf8 · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thus in total at leastρ∗lsteps are required
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8c6e71fa-52aa-4719-a89a-4bf0c8ad4b48 · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Unresolved cited work
Reference 2018
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b5ab13cc-ba2f-40f2-93e0-8488a116f2a5 · outbound
On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Unresolved cited work
Reference 2022
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
No inbound Pith citation observations are available.