{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:HATVBD6ZIW3U4TXZ4O3W6G4TZR","short_pith_number":"pith:HATVBD6Z","canonical_record":{"source":{"id":"1908.07501","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-08-20T17:26:29Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"24eed63d13567af99a9094fa56c594bdd09c168732027edf9f1a46c4c64a68e2","abstract_canon_sha256":"8b904bc829964ce9a546cdacdaa294856c3676e54d8d3c2f947d87aea4468e36"},"schema_version":"1.0"},"canonical_sha256":"3827508fd945b74e4ef9e3b76f1b93cc6251306fc16b56597e56c699a2bd7376","source":{"kind":"arxiv","id":"1908.07501","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.07501","created_at":"2026-07-05T06:00:09Z"},{"alias_kind":"arxiv_version","alias_value":"1908.07501v2","created_at":"2026-07-05T06:00:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.07501","created_at":"2026-07-05T06:00:09Z"},{"alias_kind":"pith_short_12","alias_value":"HATVBD6ZIW3U","created_at":"2026-07-05T06:00:09Z"},{"alias_kind":"pith_short_16","alias_value":"HATVBD6ZIW3U4TXZ","created_at":"2026-07-05T06:00:09Z"},{"alias_kind":"pith_short_8","alias_value":"HATVBD6Z","created_at":"2026-07-05T06:00:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:HATVBD6ZIW3U4TXZ4O3W6G4TZR","target":"record","payload":{"canonical_record":{"source":{"id":"1908.07501","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-08-20T17:26:29Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"24eed63d13567af99a9094fa56c594bdd09c168732027edf9f1a46c4c64a68e2","abstract_canon_sha256":"8b904bc829964ce9a546cdacdaa294856c3676e54d8d3c2f947d87aea4468e36"},"schema_version":"1.0"},"canonical_sha256":"3827508fd945b74e4ef9e3b76f1b93cc6251306fc16b56597e56c699a2bd7376","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:00:09.346616Z","signature_b64":"A1baB7K/sDAKnnON9tLitR3uJAYa18GEU7gat/4wf1TFlZtymN8AUG3SuurqitoK7t7NCO4iHzhimyhLpB2vDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3827508fd945b74e4ef9e3b76f1b93cc6251306fc16b56597e56c699a2bd7376","last_reissued_at":"2026-07-05T06:00:09.346275Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:00:09.346275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.07501","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":"2026-07-05T06:00:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nim3Xi1KMQx6qyF+wYbgfDpkc2cfSUyJSzg774hmJIirX9X0GsntugXMT0FQq880EIajGdU2WiFGUdescJAwDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T20:14:30.296259Z"},"content_sha256":"013adb31f92d652bf7c71ee244152bd90f36b271c373a947b9f521dffca14a2a","schema_version":"1.0","event_id":"sha256:013adb31f92d652bf7c71ee244152bd90f36b271c373a947b9f521dffca14a2a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:HATVBD6ZIW3U4TXZ4O3W6G4TZR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gamma functions, monodromy and Frobenius constants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Masha Vlasenko, Spencer Bloch","submitted_at":"2019-08-20T17:26:29Z","abstract_excerpt":"In their paper on the gamma conjecture in mirror symmetry, Golyshev and Zagier introduce what we refer to as Frobenius constants associated to an ordinary linear differential operator L with a reflection type singularity. These numbers describe the variation around the reflection point of Frobenius solutions to L defined near other singular points. Golyshev and Zagier show that in certain geometric cases Frobenius constants are periods, and they raise the question quite generally how to describe these numbers motivically. In this paper we give a relation between Frobenius constants and Taylor "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.07501","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/1908.07501/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":"2026-07-05T06:00:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NuCc3nSdIPiRlGCofyBVPt9sqo5uSyt7CUY9p1c1FNVJLDwzyKmRYgDyLKaDGdOVI4fcTSDRM1GU1NJOH5jHBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T20:14:30.296780Z"},"content_sha256":"de24a69dc2b3756beb010c7032b9e476b124a4fcb4b5cdcbdde11942f236d0af","schema_version":"1.0","event_id":"sha256:de24a69dc2b3756beb010c7032b9e476b124a4fcb4b5cdcbdde11942f236d0af"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HATVBD6ZIW3U4TXZ4O3W6G4TZR/bundle.json","state_url":"https://pith.science/pith/HATVBD6ZIW3U4TXZ4O3W6G4TZR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HATVBD6ZIW3U4TXZ4O3W6G4TZR/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":"2026-08-16T20:14:30Z","links":{"resolver":"https://pith.science/pith/HATVBD6ZIW3U4TXZ4O3W6G4TZR","bundle":"https://pith.science/pith/HATVBD6ZIW3U4TXZ4O3W6G4TZR/bundle.json","state":"https://pith.science/pith/HATVBD6ZIW3U4TXZ4O3W6G4TZR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HATVBD6ZIW3U4TXZ4O3W6G4TZR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:HATVBD6ZIW3U4TXZ4O3W6G4TZR","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":"8b904bc829964ce9a546cdacdaa294856c3676e54d8d3c2f947d87aea4468e36","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-08-20T17:26:29Z","title_canon_sha256":"24eed63d13567af99a9094fa56c594bdd09c168732027edf9f1a46c4c64a68e2"},"schema_version":"1.0","source":{"id":"1908.07501","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.07501","created_at":"2026-07-05T06:00:09Z"},{"alias_kind":"arxiv_version","alias_value":"1908.07501v2","created_at":"2026-07-05T06:00:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.07501","created_at":"2026-07-05T06:00:09Z"},{"alias_kind":"pith_short_12","alias_value":"HATVBD6ZIW3U","created_at":"2026-07-05T06:00:09Z"},{"alias_kind":"pith_short_16","alias_value":"HATVBD6ZIW3U4TXZ","created_at":"2026-07-05T06:00:09Z"},{"alias_kind":"pith_short_8","alias_value":"HATVBD6Z","created_at":"2026-07-05T06:00:09Z"}],"graph_snapshots":[{"event_id":"sha256:de24a69dc2b3756beb010c7032b9e476b124a4fcb4b5cdcbdde11942f236d0af","target":"graph","created_at":"2026-07-05T06:00:09Z","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/1908.07501/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In their paper on the gamma conjecture in mirror symmetry, Golyshev and Zagier introduce what we refer to as Frobenius constants associated to an ordinary linear differential operator L with a reflection type singularity. These numbers describe the variation around the reflection point of Frobenius solutions to L defined near other singular points. Golyshev and Zagier show that in certain geometric cases Frobenius constants are periods, and they raise the question quite generally how to describe these numbers motivically. In this paper we give a relation between Frobenius constants and Taylor ","authors_text":"Masha Vlasenko, Spencer Bloch","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-08-20T17:26:29Z","title":"Gamma functions, monodromy and Frobenius constants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.07501","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":"sha256:013adb31f92d652bf7c71ee244152bd90f36b271c373a947b9f521dffca14a2a","target":"record","created_at":"2026-07-05T06:00:09Z","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":"8b904bc829964ce9a546cdacdaa294856c3676e54d8d3c2f947d87aea4468e36","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-08-20T17:26:29Z","title_canon_sha256":"24eed63d13567af99a9094fa56c594bdd09c168732027edf9f1a46c4c64a68e2"},"schema_version":"1.0","source":{"id":"1908.07501","kind":"arxiv","version":2}},"canonical_sha256":"3827508fd945b74e4ef9e3b76f1b93cc6251306fc16b56597e56c699a2bd7376","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3827508fd945b74e4ef9e3b76f1b93cc6251306fc16b56597e56c699a2bd7376","first_computed_at":"2026-07-05T06:00:09.346275Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:00:09.346275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A1baB7K/sDAKnnON9tLitR3uJAYa18GEU7gat/4wf1TFlZtymN8AUG3SuurqitoK7t7NCO4iHzhimyhLpB2vDw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:00:09.346616Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.07501","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:013adb31f92d652bf7c71ee244152bd90f36b271c373a947b9f521dffca14a2a","sha256:de24a69dc2b3756beb010c7032b9e476b124a4fcb4b5cdcbdde11942f236d0af"],"state_sha256":"1a0423ab805d12d06eb46957619fe0fabfc7be7356fc6f93187a05ba8242d45a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T+1rWICV8eq2PJYLV3XUx2L9yStR78oHh36R3DF0bXNtPiaiKnOzC7Hr53UKb+x7tNr65IDvobvJhONq6co0Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T20:14:30.300820Z","bundle_sha256":"f3ee3bb2613462b2f04e56908fe77c864c33481d02219dfe12fb9f2a3b679396"}}