{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:YEDACBGZWSFD4NQAS7J2APTVFW","short_pith_number":"pith:YEDACBGZ","canonical_record":{"source":{"id":"2507.12333","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-07-16T15:24:35Z","cross_cats_sorted":[],"title_canon_sha256":"68c2a7d1342715b870e0ad82bf7321d95721c642339b6389330d9d4058ce296d","abstract_canon_sha256":"517c23034614f69ca7e36b3879098dfd306b1c19eb9dd126837ce4e363c90bec"},"schema_version":"1.0"},"canonical_sha256":"c1060104d9b48a3e360097d3a03e752d80166dedddb4ffc400708d10d3e607f6","source":{"kind":"arxiv","id":"2507.12333","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.12333","created_at":"2026-07-05T11:38:18Z"},{"alias_kind":"arxiv_version","alias_value":"2507.12333v1","created_at":"2026-07-05T11:38:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.12333","created_at":"2026-07-05T11:38:18Z"},{"alias_kind":"pith_short_12","alias_value":"YEDACBGZWSFD","created_at":"2026-07-05T11:38:18Z"},{"alias_kind":"pith_short_16","alias_value":"YEDACBGZWSFD4NQA","created_at":"2026-07-05T11:38:18Z"},{"alias_kind":"pith_short_8","alias_value":"YEDACBGZ","created_at":"2026-07-05T11:38:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:YEDACBGZWSFD4NQAS7J2APTVFW","target":"record","payload":{"canonical_record":{"source":{"id":"2507.12333","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-07-16T15:24:35Z","cross_cats_sorted":[],"title_canon_sha256":"68c2a7d1342715b870e0ad82bf7321d95721c642339b6389330d9d4058ce296d","abstract_canon_sha256":"517c23034614f69ca7e36b3879098dfd306b1c19eb9dd126837ce4e363c90bec"},"schema_version":"1.0"},"canonical_sha256":"c1060104d9b48a3e360097d3a03e752d80166dedddb4ffc400708d10d3e607f6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:38:18.455645Z","signature_b64":"TeCc4SbCf2jFUOzioIun/8TEcwlJsDr0Q7HBB9bRZ0C3TnRrESUWnXoitpxTJD7sJVvYX9HUeke5/TpUOrhIDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1060104d9b48a3e360097d3a03e752d80166dedddb4ffc400708d10d3e607f6","last_reissued_at":"2026-07-05T11:38:18.455173Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:38:18.455173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.12333","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":"2026-07-05T11:38:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A4CaP5gXlZv2jUYE5lcgdNRXb0ESzKSIT8ky1m8mOIQd6Md/wO0sFvxZCFGl2HPt2fFL2jcrPWP4J12vsI2KAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T23:06:27.798776Z"},"content_sha256":"79afd0ee0a88255e0293ee8b5c034affe10234d250cb674763b62528b78be6ea","schema_version":"1.0","event_id":"sha256:79afd0ee0a88255e0293ee8b5c034affe10234d250cb674763b62528b78be6ea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:YEDACBGZWSFD4NQAS7J2APTVFW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Towards small quantum Chern character","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Changzheng Li, Hua-Zhong Ke, Jiayu Song","submitted_at":"2025-07-16T15:24:35Z","abstract_excerpt":"We show a quantum version of Chern character homomorphism from the small quantum K-theory to the small quantum cohomology in the cases of projective spaces and incidence varieties, whose classical limit gives the classical Chern character homomorphism. We also provide a ring presentation of the small quantum K-theory of Milnor hypersurfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.12333","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2507.12333/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":"2026-07-05T11:38:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"82WWE/uTmKBp39u+UCmq+TQvmaPpt6QEDHk9pAnopznMQibZQqiupoQT9dAH7tZKB/lhnYD9LK7GmI9hXCdoDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T23:06:27.799646Z"},"content_sha256":"e4e6b646936ecf87c1dbac4a00e750ef4bbcc5abdb4a8ef4538bfe95af210348","schema_version":"1.0","event_id":"sha256:e4e6b646936ecf87c1dbac4a00e750ef4bbcc5abdb4a8ef4538bfe95af210348"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YEDACBGZWSFD4NQAS7J2APTVFW/bundle.json","state_url":"https://pith.science/pith/YEDACBGZWSFD4NQAS7J2APTVFW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YEDACBGZWSFD4NQAS7J2APTVFW/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":"2026-08-08T23:06:27Z","links":{"resolver":"https://pith.science/pith/YEDACBGZWSFD4NQAS7J2APTVFW","bundle":"https://pith.science/pith/YEDACBGZWSFD4NQAS7J2APTVFW/bundle.json","state":"https://pith.science/pith/YEDACBGZWSFD4NQAS7J2APTVFW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YEDACBGZWSFD4NQAS7J2APTVFW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:YEDACBGZWSFD4NQAS7J2APTVFW","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":"517c23034614f69ca7e36b3879098dfd306b1c19eb9dd126837ce4e363c90bec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-07-16T15:24:35Z","title_canon_sha256":"68c2a7d1342715b870e0ad82bf7321d95721c642339b6389330d9d4058ce296d"},"schema_version":"1.0","source":{"id":"2507.12333","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.12333","created_at":"2026-07-05T11:38:18Z"},{"alias_kind":"arxiv_version","alias_value":"2507.12333v1","created_at":"2026-07-05T11:38:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.12333","created_at":"2026-07-05T11:38:18Z"},{"alias_kind":"pith_short_12","alias_value":"YEDACBGZWSFD","created_at":"2026-07-05T11:38:18Z"},{"alias_kind":"pith_short_16","alias_value":"YEDACBGZWSFD4NQA","created_at":"2026-07-05T11:38:18Z"},{"alias_kind":"pith_short_8","alias_value":"YEDACBGZ","created_at":"2026-07-05T11:38:18Z"}],"graph_snapshots":[{"event_id":"sha256:e4e6b646936ecf87c1dbac4a00e750ef4bbcc5abdb4a8ef4538bfe95af210348","target":"graph","created_at":"2026-07-05T11:38:18Z","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/2507.12333/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show a quantum version of Chern character homomorphism from the small quantum K-theory to the small quantum cohomology in the cases of projective spaces and incidence varieties, whose classical limit gives the classical Chern character homomorphism. We also provide a ring presentation of the small quantum K-theory of Milnor hypersurfaces.","authors_text":"Changzheng Li, Hua-Zhong Ke, Jiayu Song","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-07-16T15:24:35Z","title":"Towards small quantum Chern character"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.12333","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":"sha256:79afd0ee0a88255e0293ee8b5c034affe10234d250cb674763b62528b78be6ea","target":"record","created_at":"2026-07-05T11:38:18Z","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":"517c23034614f69ca7e36b3879098dfd306b1c19eb9dd126837ce4e363c90bec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-07-16T15:24:35Z","title_canon_sha256":"68c2a7d1342715b870e0ad82bf7321d95721c642339b6389330d9d4058ce296d"},"schema_version":"1.0","source":{"id":"2507.12333","kind":"arxiv","version":1}},"canonical_sha256":"c1060104d9b48a3e360097d3a03e752d80166dedddb4ffc400708d10d3e607f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c1060104d9b48a3e360097d3a03e752d80166dedddb4ffc400708d10d3e607f6","first_computed_at":"2026-07-05T11:38:18.455173Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:38:18.455173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TeCc4SbCf2jFUOzioIun/8TEcwlJsDr0Q7HBB9bRZ0C3TnRrESUWnXoitpxTJD7sJVvYX9HUeke5/TpUOrhIDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:38:18.455645Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.12333","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79afd0ee0a88255e0293ee8b5c034affe10234d250cb674763b62528b78be6ea","sha256:e4e6b646936ecf87c1dbac4a00e750ef4bbcc5abdb4a8ef4538bfe95af210348"],"state_sha256":"5b17876850670496a1a4c5fae775e2e486e98fc9c9ff4c8a30239547dd22b2b0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j1jfoy9agb9mTVXod2lqr1NpmvRyjdLn6EMpkySL+VblzUHuL/XEivP9K/QORVF/S/Xp6C5HbG/y+HSCYzztCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T23:06:27.805180Z","bundle_sha256":"122d44628ee4ce143bb23a009ef04a5f427c92539aa1de57b83b0f27530943ce"}}