{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:N36NEEN2O4PROUF44WC3W5XHJ2","short_pith_number":"pith:N36NEEN2","canonical_record":{"source":{"id":"1304.0530","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-04-02T04:48:42Z","cross_cats_sorted":[],"title_canon_sha256":"b40fe6da665db7921fdb84658bd3de87aee01ec9dc9244f018a9ca577fcb6576","abstract_canon_sha256":"c3df24c6a89b89fd47ec76b49de29166df9dc0cac79f18a0fe45d560554ae3e0"},"schema_version":"1.0"},"canonical_sha256":"6efcd211ba771f1750bce585bb76e74eb4049d2a543333e59b32034644d84669","source":{"kind":"arxiv","id":"1304.0530","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.0530","created_at":"2026-05-18T03:29:15Z"},{"alias_kind":"arxiv_version","alias_value":"1304.0530v1","created_at":"2026-05-18T03:29:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.0530","created_at":"2026-05-18T03:29:15Z"},{"alias_kind":"pith_short_12","alias_value":"N36NEEN2O4PR","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"N36NEEN2O4PROUF4","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"N36NEEN2","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:N36NEEN2O4PROUF44WC3W5XHJ2","target":"record","payload":{"canonical_record":{"source":{"id":"1304.0530","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-04-02T04:48:42Z","cross_cats_sorted":[],"title_canon_sha256":"b40fe6da665db7921fdb84658bd3de87aee01ec9dc9244f018a9ca577fcb6576","abstract_canon_sha256":"c3df24c6a89b89fd47ec76b49de29166df9dc0cac79f18a0fe45d560554ae3e0"},"schema_version":"1.0"},"canonical_sha256":"6efcd211ba771f1750bce585bb76e74eb4049d2a543333e59b32034644d84669","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:29:15.149728Z","signature_b64":"ym6PBVyug0Pkx81z9BUJHzR4jPRM4JNVWa6q2zSjo5h+KqUUXjFooixIJMR/wAZ21P50Tw43Zd8xbiNZkzmJBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6efcd211ba771f1750bce585bb76e74eb4049d2a543333e59b32034644d84669","last_reissued_at":"2026-05-18T03:29:15.149024Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:29:15.149024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.0530","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":"2026-05-18T03:29:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gSv9oaTJSoavNsHGfR2J3h0/gwhNvgB9tmYloIylqbouUl/ZQJfeUggg92HONN+X5ZfXy8XckWLEgvE1wVylBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:05:06.184446Z"},"content_sha256":"e81ff89c8cbdc8eb9ce74354cac6660853f1ad0c18a8ecfa3e166174acd9e3c3","schema_version":"1.0","event_id":"sha256:e81ff89c8cbdc8eb9ce74354cac6660853f1ad0c18a8ecfa3e166174acd9e3c3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:N36NEEN2O4PROUF44WC3W5XHJ2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Ring of Algebraic Functions on Persistence Bar Codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Aaron Adcock, Erik Carlsson, Gunnar Carlsson","submitted_at":"2013-04-02T04:48:42Z","abstract_excerpt":"We study the ring of algebraic functions on the space of persistence barcodes, with applications to pattern recognition."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.0530","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:29:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aLajabhREyN/YI+em3C5O6XtFJv2BPPLGm3+DxKxeAWMeZ3Zmx7XF9GIGRQEzYf1Uwny2fxqP6en8YyN5ShqBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:05:06.184962Z"},"content_sha256":"ffac30c52db6c932f32d91261736645618555d6c5c539da781fb07f32307d86a","schema_version":"1.0","event_id":"sha256:ffac30c52db6c932f32d91261736645618555d6c5c539da781fb07f32307d86a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N36NEEN2O4PROUF44WC3W5XHJ2/bundle.json","state_url":"https://pith.science/pith/N36NEEN2O4PROUF44WC3W5XHJ2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N36NEEN2O4PROUF44WC3W5XHJ2/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":"2026-05-26T07:05:06Z","links":{"resolver":"https://pith.science/pith/N36NEEN2O4PROUF44WC3W5XHJ2","bundle":"https://pith.science/pith/N36NEEN2O4PROUF44WC3W5XHJ2/bundle.json","state":"https://pith.science/pith/N36NEEN2O4PROUF44WC3W5XHJ2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N36NEEN2O4PROUF44WC3W5XHJ2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:N36NEEN2O4PROUF44WC3W5XHJ2","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":"c3df24c6a89b89fd47ec76b49de29166df9dc0cac79f18a0fe45d560554ae3e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-04-02T04:48:42Z","title_canon_sha256":"b40fe6da665db7921fdb84658bd3de87aee01ec9dc9244f018a9ca577fcb6576"},"schema_version":"1.0","source":{"id":"1304.0530","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.0530","created_at":"2026-05-18T03:29:15Z"},{"alias_kind":"arxiv_version","alias_value":"1304.0530v1","created_at":"2026-05-18T03:29:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.0530","created_at":"2026-05-18T03:29:15Z"},{"alias_kind":"pith_short_12","alias_value":"N36NEEN2O4PR","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"N36NEEN2O4PROUF4","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"N36NEEN2","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:ffac30c52db6c932f32d91261736645618555d6c5c539da781fb07f32307d86a","target":"graph","created_at":"2026-05-18T03:29:15Z","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":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study the ring of algebraic functions on the space of persistence barcodes, with applications to pattern recognition.","authors_text":"Aaron Adcock, Erik Carlsson, Gunnar Carlsson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-04-02T04:48:42Z","title":"The Ring of Algebraic Functions on Persistence Bar Codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.0530","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:e81ff89c8cbdc8eb9ce74354cac6660853f1ad0c18a8ecfa3e166174acd9e3c3","target":"record","created_at":"2026-05-18T03:29:15Z","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":"c3df24c6a89b89fd47ec76b49de29166df9dc0cac79f18a0fe45d560554ae3e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-04-02T04:48:42Z","title_canon_sha256":"b40fe6da665db7921fdb84658bd3de87aee01ec9dc9244f018a9ca577fcb6576"},"schema_version":"1.0","source":{"id":"1304.0530","kind":"arxiv","version":1}},"canonical_sha256":"6efcd211ba771f1750bce585bb76e74eb4049d2a543333e59b32034644d84669","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6efcd211ba771f1750bce585bb76e74eb4049d2a543333e59b32034644d84669","first_computed_at":"2026-05-18T03:29:15.149024Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:15.149024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ym6PBVyug0Pkx81z9BUJHzR4jPRM4JNVWa6q2zSjo5h+KqUUXjFooixIJMR/wAZ21P50Tw43Zd8xbiNZkzmJBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:15.149728Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.0530","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e81ff89c8cbdc8eb9ce74354cac6660853f1ad0c18a8ecfa3e166174acd9e3c3","sha256:ffac30c52db6c932f32d91261736645618555d6c5c539da781fb07f32307d86a"],"state_sha256":"38f92a60288c5e822cc7df3e14db43be494b76e29b69451ab7c3b2f307e8aaed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SBcCuRNSTJA285Cn4QB/wwyv68pV4jX7tfSek4YPD7KhIZ68uxo1Vf2yoy1UdSKrt1WFbeP369kdSQg2WVv0Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T07:05:06.188090Z","bundle_sha256":"aea8a3021792ead998bb52108d545f35b5229b217a8e4b2d22a65b5d24712bd9"}}