{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:OYMDYME2KBTWLOIJSPMKHSDIUF","short_pith_number":"pith:OYMDYME2","canonical_record":{"source":{"id":"2307.01833","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-07-04T17:24:11Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"ac277e3bf7e0a0da18a3051c89e76f315d91e9765d6b919547d83ec81d49caf6","abstract_canon_sha256":"0b1b7c2edc349cdea120355883be54563ebbd043c868fb6a47e48ea87dc77b27"},"schema_version":"1.0"},"canonical_sha256":"76183c309a506765b90993d8a3c868a1403ad91cfa6e21306ac42f367c3ab88b","source":{"kind":"arxiv","id":"2307.01833","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.01833","created_at":"2026-06-03T14:05:14Z"},{"alias_kind":"arxiv_version","alias_value":"2307.01833v2","created_at":"2026-06-03T14:05:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.01833","created_at":"2026-06-03T14:05:14Z"},{"alias_kind":"pith_short_12","alias_value":"OYMDYME2KBTW","created_at":"2026-06-03T14:05:14Z"},{"alias_kind":"pith_short_16","alias_value":"OYMDYME2KBTWLOIJ","created_at":"2026-06-03T14:05:14Z"},{"alias_kind":"pith_short_8","alias_value":"OYMDYME2","created_at":"2026-06-03T14:05:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:OYMDYME2KBTWLOIJSPMKHSDIUF","target":"record","payload":{"canonical_record":{"source":{"id":"2307.01833","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-07-04T17:24:11Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"ac277e3bf7e0a0da18a3051c89e76f315d91e9765d6b919547d83ec81d49caf6","abstract_canon_sha256":"0b1b7c2edc349cdea120355883be54563ebbd043c868fb6a47e48ea87dc77b27"},"schema_version":"1.0"},"canonical_sha256":"76183c309a506765b90993d8a3c868a1403ad91cfa6e21306ac42f367c3ab88b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T14:05:14.990965Z","signature_b64":"TYn8ZWK+5FUfXWLha5X5Lgdtoii0GhWiL0Zb3ZIz9DYUfyGkbYdJG8ExFmLuPaBHsWeircCsXyKUvA/p69BxDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"76183c309a506765b90993d8a3c868a1403ad91cfa6e21306ac42f367c3ab88b","last_reissued_at":"2026-06-03T14:05:14.990420Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T14:05:14.990420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2307.01833","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-03T14:05:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fiMKqFt7IoYZwdsAH4JMVf1MDLw8ajzUSS/8a4Fz1z75KNvjBNNt47l1hR3DalB+CYEzQOu3dobTJuLM0oPrDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T09:16:46.290553Z"},"content_sha256":"3e57da599397b1ce6de461f0ae87818d46f8a9090b6fa71b6584397b58f6429e","schema_version":"1.0","event_id":"sha256:3e57da599397b1ce6de461f0ae87818d46f8a9090b6fa71b6584397b58f6429e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:OYMDYME2KBTWLOIJSPMKHSDIUF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Elliptic hyperlogarithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AG","authors_text":"Benjamin Enriquez, Federico Zerbini","submitted_at":"2023-07-04T17:24:11Z","abstract_excerpt":"Let $\\mathcal E$ be a complex elliptic curve and $S$ be a non-empty finite subset of $\\mathcal E$. We show that the functions $\\tilde\\Gamma$ introduced in arXiv:1712.07089 out of string theory motivations give rise to a basis of the minimal algebra $A_{\\mathcal E\\smallsetminus S}$ of holomorphic multivalued functions on $\\mathcal E\\smallsetminus S$ which is stable under integration, introduced in arXiv:2212.03119; this basis is alternative to the basis of $A_{\\mathcal E\\smallsetminus S}$ constructed in loc. cit. using elliptic analogues of the hyperlogarithm functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.01833","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2307.01833/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-03T14:05:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pldEKF9hN+anXWrcj6aBHYZPkGy/ndCKQzlpRPNlvrztyDe9x3lV3oJTlAz6jDPPyaSO+fSUkcP++OeZVIJABg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T09:16:46.291410Z"},"content_sha256":"84f5c8b3afca15c2bdbe6b4e241ee116923f4ac38cb891bae757ff1a8bed08b8","schema_version":"1.0","event_id":"sha256:84f5c8b3afca15c2bdbe6b4e241ee116923f4ac38cb891bae757ff1a8bed08b8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OYMDYME2KBTWLOIJSPMKHSDIUF/bundle.json","state_url":"https://pith.science/pith/OYMDYME2KBTWLOIJSPMKHSDIUF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OYMDYME2KBTWLOIJSPMKHSDIUF/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":"2026-06-10T09:16:46Z","links":{"resolver":"https://pith.science/pith/OYMDYME2KBTWLOIJSPMKHSDIUF","bundle":"https://pith.science/pith/OYMDYME2KBTWLOIJSPMKHSDIUF/bundle.json","state":"https://pith.science/pith/OYMDYME2KBTWLOIJSPMKHSDIUF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OYMDYME2KBTWLOIJSPMKHSDIUF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:OYMDYME2KBTWLOIJSPMKHSDIUF","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":"0b1b7c2edc349cdea120355883be54563ebbd043c868fb6a47e48ea87dc77b27","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-07-04T17:24:11Z","title_canon_sha256":"ac277e3bf7e0a0da18a3051c89e76f315d91e9765d6b919547d83ec81d49caf6"},"schema_version":"1.0","source":{"id":"2307.01833","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.01833","created_at":"2026-06-03T14:05:14Z"},{"alias_kind":"arxiv_version","alias_value":"2307.01833v2","created_at":"2026-06-03T14:05:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.01833","created_at":"2026-06-03T14:05:14Z"},{"alias_kind":"pith_short_12","alias_value":"OYMDYME2KBTW","created_at":"2026-06-03T14:05:14Z"},{"alias_kind":"pith_short_16","alias_value":"OYMDYME2KBTWLOIJ","created_at":"2026-06-03T14:05:14Z"},{"alias_kind":"pith_short_8","alias_value":"OYMDYME2","created_at":"2026-06-03T14:05:14Z"}],"graph_snapshots":[{"event_id":"sha256:84f5c8b3afca15c2bdbe6b4e241ee116923f4ac38cb891bae757ff1a8bed08b8","target":"graph","created_at":"2026-06-03T14:05:14Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2307.01833/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $\\mathcal E$ be a complex elliptic curve and $S$ be a non-empty finite subset of $\\mathcal E$. We show that the functions $\\tilde\\Gamma$ introduced in arXiv:1712.07089 out of string theory motivations give rise to a basis of the minimal algebra $A_{\\mathcal E\\smallsetminus S}$ of holomorphic multivalued functions on $\\mathcal E\\smallsetminus S$ which is stable under integration, introduced in arXiv:2212.03119; this basis is alternative to the basis of $A_{\\mathcal E\\smallsetminus S}$ constructed in loc. cit. using elliptic analogues of the hyperlogarithm functions.","authors_text":"Benjamin Enriquez, Federico Zerbini","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-07-04T17:24:11Z","title":"Elliptic hyperlogarithms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.01833","kind":"arxiv","version":2},"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":"sha256:3e57da599397b1ce6de461f0ae87818d46f8a9090b6fa71b6584397b58f6429e","target":"record","created_at":"2026-06-03T14:05:14Z","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":"0b1b7c2edc349cdea120355883be54563ebbd043c868fb6a47e48ea87dc77b27","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-07-04T17:24:11Z","title_canon_sha256":"ac277e3bf7e0a0da18a3051c89e76f315d91e9765d6b919547d83ec81d49caf6"},"schema_version":"1.0","source":{"id":"2307.01833","kind":"arxiv","version":2}},"canonical_sha256":"76183c309a506765b90993d8a3c868a1403ad91cfa6e21306ac42f367c3ab88b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"76183c309a506765b90993d8a3c868a1403ad91cfa6e21306ac42f367c3ab88b","first_computed_at":"2026-06-03T14:05:14.990420Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T14:05:14.990420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TYn8ZWK+5FUfXWLha5X5Lgdtoii0GhWiL0Zb3ZIz9DYUfyGkbYdJG8ExFmLuPaBHsWeircCsXyKUvA/p69BxDQ==","signature_status":"signed_v1","signed_at":"2026-06-03T14:05:14.990965Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.01833","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e57da599397b1ce6de461f0ae87818d46f8a9090b6fa71b6584397b58f6429e","sha256:84f5c8b3afca15c2bdbe6b4e241ee116923f4ac38cb891bae757ff1a8bed08b8"],"state_sha256":"4b2df096ef5f464c280ef4bad1668ca40fc233b28d9fa5fcaab533e98cbd9c2b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DFXxTF6fADfd9eAFJt1jQn0Bpv8kT7SVfbDL4qDwM/tC5GGTqGQOGix6fkI9f5wKffOLwqcs519ytDfXmW++CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T09:16:46.296175Z","bundle_sha256":"14ff5323441df8907595675a77e32375cb56b557d1d5b6b2ad185858e5052408"}}