{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:W3ACHFOXLD5VJMFCCU3BJDWJ3X","short_pith_number":"pith:W3ACHFOX","canonical_record":{"source":{"id":"2605.17323","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.FA","submitted_at":"2026-05-17T08:29:51Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9f23059bbfb31e703de5714bd60599cf9c6ad848d62291bdb8b236261e6ba71f","abstract_canon_sha256":"afa0a48eb35dc607061ac13b5e975ea5dda4bfeebb1f16d64d4aaff847f98fb5"},"schema_version":"1.0"},"canonical_sha256":"b6c02395d758fb54b0a21536148ec9ddcc2c81275be4fc4b89b23f5dab1afa7f","source":{"kind":"arxiv","id":"2605.17323","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.17323","created_at":"2026-05-20T00:03:52Z"},{"alias_kind":"arxiv_version","alias_value":"2605.17323v1","created_at":"2026-05-20T00:03:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.17323","created_at":"2026-05-20T00:03:52Z"},{"alias_kind":"pith_short_12","alias_value":"W3ACHFOXLD5V","created_at":"2026-05-20T00:03:52Z"},{"alias_kind":"pith_short_16","alias_value":"W3ACHFOXLD5VJMFC","created_at":"2026-05-20T00:03:52Z"},{"alias_kind":"pith_short_8","alias_value":"W3ACHFOX","created_at":"2026-05-20T00:03:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:W3ACHFOXLD5VJMFCCU3BJDWJ3X","target":"record","payload":{"canonical_record":{"source":{"id":"2605.17323","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.FA","submitted_at":"2026-05-17T08:29:51Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9f23059bbfb31e703de5714bd60599cf9c6ad848d62291bdb8b236261e6ba71f","abstract_canon_sha256":"afa0a48eb35dc607061ac13b5e975ea5dda4bfeebb1f16d64d4aaff847f98fb5"},"schema_version":"1.0"},"canonical_sha256":"b6c02395d758fb54b0a21536148ec9ddcc2c81275be4fc4b89b23f5dab1afa7f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:03:52.100824Z","signature_b64":"cvoR4Do2zHiLqUNZn36YAuSn2biBFBXr5Y/btcApfWKahzXB1nPkvsaW2oEeWRBXUq7jRC5I6i73QfdCjan9Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b6c02395d758fb54b0a21536148ec9ddcc2c81275be4fc4b89b23f5dab1afa7f","last_reissued_at":"2026-05-20T00:03:52.099944Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:03:52.099944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.17323","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T00:03:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DVOUE4kglf2gEdsXfzllzeR9uBxvbld6iaHGJZK7i0qsU07cw4Ueao7Fww9Su+3oSoTBRtJKjNzwKQh0ibZ8BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:25:10.233126Z"},"content_sha256":"4e638d195a2168bec533a00cf26d67fd10517fa3d1c73911ecbba5e487faf113","schema_version":"1.0","event_id":"sha256:4e638d195a2168bec533a00cf26d67fd10517fa3d1c73911ecbba5e487faf113"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:W3ACHFOXLD5VJMFCCU3BJDWJ3X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonuniform Periodic Wavelet Frames on Non-Archimedean Fields","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"Nonuniform periodic wavelet frames on non-Archimedean fields are constructed using Fourier transforms and the unitary extension principle.","cross_cats":["math-ph","math.MP"],"primary_cat":"math.FA","authors_text":"Owais Ahmad","submitted_at":"2026-05-17T08:29:51Z","abstract_excerpt":"In real life application all signals are not obtained from uniform shifts; so there is a natural question regarding analysis and decompositions of these types of signals by a stable mathematical tool. Gabardo and Nashed and Gabardo and Yu filled this gap by the concept of nonuniform multiresolution analysis and nonuniform wavelets based on the theory of spectral pairs for which the associated translation set $\\Lambda =\\left\\{ 0,r/N\\right\\}+2\\,\\mathbb Z$ is no longer a discrete subgroup of $\\mathbb R$ but a spectrum associated with a certain one-dimensional spectral pair and the associated dila"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"we introduce a notion of nonuniform periodic wavelet frame on non-Archimedean field. Using Fourier transform technique and the unitary extension principle, we propose an approach for the construction of nonuniform periodic wavelet frames on non-Archimedean fields.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The spectral-pair and nonuniform multiresolution analysis ideas developed for the real line extend to non-Archimedean fields in a way that preserves the necessary unitary and frame properties.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"The authors construct nonuniform periodic wavelet frames on non-Archimedean fields via Fourier transform techniques and the unitary extension principle.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Nonuniform periodic wavelet frames on non-Archimedean fields are constructed using Fourier transforms and the unitary extension principle.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"ec9eb07a124b8d4e40674e04e9b27d44c363118ca477fbde9238d02c59b6eb64"},"source":{"id":"2605.17323","kind":"arxiv","version":1},"verdict":{"id":"86a55a9b-ddf7-4bf1-a81a-5a3f114428ed","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T22:51:18.117158Z","strongest_claim":"we introduce a notion of nonuniform periodic wavelet frame on non-Archimedean field. Using Fourier transform technique and the unitary extension principle, we propose an approach for the construction of nonuniform periodic wavelet frames on non-Archimedean fields.","one_line_summary":"The authors construct nonuniform periodic wavelet frames on non-Archimedean fields via Fourier transform techniques and the unitary extension principle.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The spectral-pair and nonuniform multiresolution analysis ideas developed for the real line extend to non-Archimedean fields in a way that preserves the necessary unitary and frame properties.","pith_extraction_headline":"Nonuniform periodic wavelet frames on non-Archimedean fields are constructed using Fourier transforms and the unitary extension principle."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.17323/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_compliance","ran_at":"2026-05-19T23:01:51.965913Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T23:01:19.681434Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T21:41:57.815434Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T21:33:23.748073Z","status":"skipped","version":"1.0.0","findings_count":0}],"snapshot_sha256":"5a76cca7c85bfa3373f5fcd7d34f67cfd784a6b2233b6f656007a57992ac9a8b"},"references":{"count":19,"sample":[{"doi":"","year":2018,"title":"O. Ahmad and N. A. Sheikh, On Characterization of nonuniform tight wavelet frames on local fields,Anal. Theory Appl.,34(2018) 135-146","work_id":"1b43b187-4717-40a4-9b77-0771821648b3","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2004,"title":"J.J. Benedetto and R.L. Benedetto, A wavelet theory for local fields and related groups. J. Geom. Anal.14(2004) 423-456","work_id":"4d28ebe6-f259-433e-939d-04fa70669362","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2016,"title":"Christensen,An Introduction to Frames and Riesz Bases, Second Edition, Birkh¨ auser, Boston, 2016","work_id":"bd1a6a7a-92f1-45cf-9161-9bc8ba5ac071","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2003,"title":"I. Daubechies, B. Han, A. Ron and Z. Shen, Framelets: MRA-based constructions of wavelet frames,Appl. Comput. Harmon. Anal.14(2003) 1-46","work_id":"51da59f3-9efb-4a85-a1a8-c06b67661eca","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1986,"title":"I. Daubechies, A. Grossmann, Y. Meyer, Painless non-orthogonal expansions,J. Math. Phys.27(5) (1986) 1271-1283","work_id":"f96b55f5-b309-43c9-b863-64458bb70362","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":19,"snapshot_sha256":"2bbff9da1427d22e7f4699813d6517a10a207a5bc25c9a71ca4aae9a6bc19649","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"8383c7a54dc511680ddcc08e8f635cafc456edf1e4ed171386d66646214c8f43"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":"86a55a9b-ddf7-4bf1-a81a-5a3f114428ed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T00:03:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TW9JsQFq5w4fp6L8uAcSwvEJFbHZ0649fKqN+t38CyLUoBGU9QqtOOhjKPahQsK9FdsRCaugwssxlgAghElqCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:25:10.233833Z"},"content_sha256":"82d387e02988e16681433bc450b11baf17a4340bc28bf2cfd6b80f196045fe48","schema_version":"1.0","event_id":"sha256:82d387e02988e16681433bc450b11baf17a4340bc28bf2cfd6b80f196045fe48"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W3ACHFOXLD5VJMFCCU3BJDWJ3X/bundle.json","state_url":"https://pith.science/pith/W3ACHFOXLD5VJMFCCU3BJDWJ3X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W3ACHFOXLD5VJMFCCU3BJDWJ3X/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T01:25:10Z","links":{"resolver":"https://pith.science/pith/W3ACHFOXLD5VJMFCCU3BJDWJ3X","bundle":"https://pith.science/pith/W3ACHFOXLD5VJMFCCU3BJDWJ3X/bundle.json","state":"https://pith.science/pith/W3ACHFOXLD5VJMFCCU3BJDWJ3X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W3ACHFOXLD5VJMFCCU3BJDWJ3X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:W3ACHFOXLD5VJMFCCU3BJDWJ3X","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"afa0a48eb35dc607061ac13b5e975ea5dda4bfeebb1f16d64d4aaff847f98fb5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.FA","submitted_at":"2026-05-17T08:29:51Z","title_canon_sha256":"9f23059bbfb31e703de5714bd60599cf9c6ad848d62291bdb8b236261e6ba71f"},"schema_version":"1.0","source":{"id":"2605.17323","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.17323","created_at":"2026-05-20T00:03:52Z"},{"alias_kind":"arxiv_version","alias_value":"2605.17323v1","created_at":"2026-05-20T00:03:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.17323","created_at":"2026-05-20T00:03:52Z"},{"alias_kind":"pith_short_12","alias_value":"W3ACHFOXLD5V","created_at":"2026-05-20T00:03:52Z"},{"alias_kind":"pith_short_16","alias_value":"W3ACHFOXLD5VJMFC","created_at":"2026-05-20T00:03:52Z"},{"alias_kind":"pith_short_8","alias_value":"W3ACHFOX","created_at":"2026-05-20T00:03:52Z"}],"graph_snapshots":[{"event_id":"sha256:82d387e02988e16681433bc450b11baf17a4340bc28bf2cfd6b80f196045fe48","target":"graph","created_at":"2026-05-20T00:03:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"we introduce a notion of nonuniform periodic wavelet frame on non-Archimedean field. Using Fourier transform technique and the unitary extension principle, we propose an approach for the construction of nonuniform periodic wavelet frames on non-Archimedean fields."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The spectral-pair and nonuniform multiresolution analysis ideas developed for the real line extend to non-Archimedean fields in a way that preserves the necessary unitary and frame properties."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"The authors construct nonuniform periodic wavelet frames on non-Archimedean fields via Fourier transform techniques and the unitary extension principle."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Nonuniform periodic wavelet frames on non-Archimedean fields are constructed using Fourier transforms and the unitary extension principle."}],"snapshot_sha256":"ec9eb07a124b8d4e40674e04e9b27d44c363118ca477fbde9238d02c59b6eb64"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"8383c7a54dc511680ddcc08e8f635cafc456edf1e4ed171386d66646214c8f43"},"integrity":{"available":true,"clean":true,"detectors_run":[{"findings_count":0,"name":"doi_compliance","ran_at":"2026-05-19T23:01:51.965913Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"doi_title_agreement","ran_at":"2026-05-19T23:01:19.681434Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"claim_evidence","ran_at":"2026-05-19T21:41:57.815434Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"ai_meta_artifact","ran_at":"2026-05-19T21:33:23.748073Z","status":"skipped","version":"1.0.0"}],"endpoint":"/pith/2605.17323/integrity.json","findings":[],"snapshot_sha256":"5a76cca7c85bfa3373f5fcd7d34f67cfd784a6b2233b6f656007a57992ac9a8b","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In real life application all signals are not obtained from uniform shifts; so there is a natural question regarding analysis and decompositions of these types of signals by a stable mathematical tool. Gabardo and Nashed and Gabardo and Yu filled this gap by the concept of nonuniform multiresolution analysis and nonuniform wavelets based on the theory of spectral pairs for which the associated translation set $\\Lambda =\\left\\{ 0,r/N\\right\\}+2\\,\\mathbb Z$ is no longer a discrete subgroup of $\\mathbb R$ but a spectrum associated with a certain one-dimensional spectral pair and the associated dila","authors_text":"Owais Ahmad","cross_cats":["math-ph","math.MP"],"headline":"Nonuniform periodic wavelet frames on non-Archimedean fields are constructed using Fourier transforms and the unitary extension principle.","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.FA","submitted_at":"2026-05-17T08:29:51Z","title":"Nonuniform Periodic Wavelet Frames on Non-Archimedean Fields"},"references":{"count":19,"internal_anchors":0,"resolved_work":19,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"O. Ahmad and N. A. Sheikh, On Characterization of nonuniform tight wavelet frames on local fields,Anal. Theory Appl.,34(2018) 135-146","work_id":"1b43b187-4717-40a4-9b77-0771821648b3","year":2018},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"J.J. Benedetto and R.L. Benedetto, A wavelet theory for local fields and related groups. J. Geom. Anal.14(2004) 423-456","work_id":"4d28ebe6-f259-433e-939d-04fa70669362","year":2004},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"Christensen,An Introduction to Frames and Riesz Bases, Second Edition, Birkh¨ auser, Boston, 2016","work_id":"bd1a6a7a-92f1-45cf-9161-9bc8ba5ac071","year":2016},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"I. Daubechies, B. Han, A. Ron and Z. Shen, Framelets: MRA-based constructions of wavelet frames,Appl. Comput. Harmon. Anal.14(2003) 1-46","work_id":"51da59f3-9efb-4a85-a1a8-c06b67661eca","year":2003},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"I. Daubechies, A. Grossmann, Y. Meyer, Painless non-orthogonal expansions,J. Math. Phys.27(5) (1986) 1271-1283","work_id":"f96b55f5-b309-43c9-b863-64458bb70362","year":1986}],"snapshot_sha256":"2bbff9da1427d22e7f4699813d6517a10a207a5bc25c9a71ca4aae9a6bc19649"},"source":{"id":"2605.17323","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-19T22:51:18.117158Z","id":"86a55a9b-ddf7-4bf1-a81a-5a3f114428ed","model_set":{"reader":"grok-4.3"},"one_line_summary":"The authors construct nonuniform periodic wavelet frames on non-Archimedean fields via Fourier transform techniques and the unitary extension principle.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Nonuniform periodic wavelet frames on non-Archimedean fields are constructed using Fourier transforms and the unitary extension principle.","strongest_claim":"we introduce a notion of nonuniform periodic wavelet frame on non-Archimedean field. Using Fourier transform technique and the unitary extension principle, we propose an approach for the construction of nonuniform periodic wavelet frames on non-Archimedean fields.","weakest_assumption":"The spectral-pair and nonuniform multiresolution analysis ideas developed for the real line extend to non-Archimedean fields in a way that preserves the necessary unitary and frame properties."}},"verdict_id":"86a55a9b-ddf7-4bf1-a81a-5a3f114428ed"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:4e638d195a2168bec533a00cf26d67fd10517fa3d1c73911ecbba5e487faf113","target":"record","created_at":"2026-05-20T00:03:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"afa0a48eb35dc607061ac13b5e975ea5dda4bfeebb1f16d64d4aaff847f98fb5","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.FA","submitted_at":"2026-05-17T08:29:51Z","title_canon_sha256":"9f23059bbfb31e703de5714bd60599cf9c6ad848d62291bdb8b236261e6ba71f"},"schema_version":"1.0","source":{"id":"2605.17323","kind":"arxiv","version":1}},"canonical_sha256":"b6c02395d758fb54b0a21536148ec9ddcc2c81275be4fc4b89b23f5dab1afa7f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6c02395d758fb54b0a21536148ec9ddcc2c81275be4fc4b89b23f5dab1afa7f","first_computed_at":"2026-05-20T00:03:52.099944Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:03:52.099944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cvoR4Do2zHiLqUNZn36YAuSn2biBFBXr5Y/btcApfWKahzXB1nPkvsaW2oEeWRBXUq7jRC5I6i73QfdCjan9Cg==","signature_status":"signed_v1","signed_at":"2026-05-20T00:03:52.100824Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.17323","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e638d195a2168bec533a00cf26d67fd10517fa3d1c73911ecbba5e487faf113","sha256:82d387e02988e16681433bc450b11baf17a4340bc28bf2cfd6b80f196045fe48"],"state_sha256":"8f579bf8b5e564f74356d037e35c5f8f25cf334ba9b81d1b25aa532195b1cee6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tYnhgUOt+qoAi7m+K1MAbN8+ESSJfYTH4fA2DZXl0IgWuv267z72sQSLBC9auYyQP5aJcVh7WDGj5zrnVMYXDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T01:25:10.236719Z","bundle_sha256":"d937a12709fa875865ae684110d66186180534b43a027e0baf3a69f90e7e9366"}}