{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:GEEEGEPPBA3S3MSCE6LQJKU5V6","short_pith_number":"pith:GEEEGEPP","canonical_record":{"source":{"id":"1308.5716","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-08-26T22:47:29Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"534a2556aaf25429668c7eaf578703e29fd60e6ccd4ed1e2e7c15dd2d00d9843","abstract_canon_sha256":"321d134be93f9f4f913b88e22ffe3ad86a9d75d8f035a80b2c5763931bb57b9b"},"schema_version":"1.0"},"canonical_sha256":"31084311ef08372db242279704aa9dafad6cef74bca5a4ffaf949300b671352f","source":{"kind":"arxiv","id":"1308.5716","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.5716","created_at":"2026-05-18T01:36:31Z"},{"alias_kind":"arxiv_version","alias_value":"1308.5716v4","created_at":"2026-05-18T01:36:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.5716","created_at":"2026-05-18T01:36:31Z"},{"alias_kind":"pith_short_12","alias_value":"GEEEGEPPBA3S","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"GEEEGEPPBA3S3MSC","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"GEEEGEPP","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:GEEEGEPPBA3S3MSCE6LQJKU5V6","target":"record","payload":{"canonical_record":{"source":{"id":"1308.5716","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-08-26T22:47:29Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"534a2556aaf25429668c7eaf578703e29fd60e6ccd4ed1e2e7c15dd2d00d9843","abstract_canon_sha256":"321d134be93f9f4f913b88e22ffe3ad86a9d75d8f035a80b2c5763931bb57b9b"},"schema_version":"1.0"},"canonical_sha256":"31084311ef08372db242279704aa9dafad6cef74bca5a4ffaf949300b671352f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:31.666102Z","signature_b64":"dPW34CvmmvneKjXu6dTqLpBJaOOcnE8Jieujysf6YzhLHREOdUp6RguCXgfZ5sMh4QY4JjpDjV6c3IKW0QghDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31084311ef08372db242279704aa9dafad6cef74bca5a4ffaf949300b671352f","last_reissued_at":"2026-05-18T01:36:31.665441Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:31.665441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.5716","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:36:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aCb80ZAiCcwMWuzcuPhZJHw5Ph4VboI933ZUtI9+tDzwjzPNMG0NYO4qLBdrYY6b6v7xhIm0nk5BIL0zBMmrAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T11:29:39.792058Z"},"content_sha256":"30e3f767dba70c7e0a9e684d9e35890c77cf122ee2335911ab31212877ef0737","schema_version":"1.0","event_id":"sha256:30e3f767dba70c7e0a9e684d9e35890c77cf122ee2335911ab31212877ef0737"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:GEEEGEPPBA3S3MSCE6LQJKU5V6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dubrovin-Zhang hierarchy for the Hodge integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"A. Buryak","submitted_at":"2013-08-26T22:47:29Z","abstract_excerpt":"In this paper we prove that the generating series of the Hodge integrals over the moduli space of stable curves is a solution of a certain deformation of the KdV hierarchy. This hierarchy is constructed in the framework of the Dubrovin-Zhang theory of the hierarchies of the topological type. It occurs that our deformation of the KdV hierarchy is closely related to the hierarchy of the Intermediate Long Wave equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.5716","kind":"arxiv","version":4},"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":"2026-05-18T01:36:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E2fUA7QPoinvwbsMK1c355sOPwaS5uvVDjDsLmy/jDZkYMfpzNFTpT7o+mja8cYD7VE+VsFN3EX/gYpaA8FQBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T11:29:39.792423Z"},"content_sha256":"3b0f121ade61f03a9fc5d83a96097b672445f770fcc6dc366c112ae5f40d729f","schema_version":"1.0","event_id":"sha256:3b0f121ade61f03a9fc5d83a96097b672445f770fcc6dc366c112ae5f40d729f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GEEEGEPPBA3S3MSCE6LQJKU5V6/bundle.json","state_url":"https://pith.science/pith/GEEEGEPPBA3S3MSCE6LQJKU5V6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GEEEGEPPBA3S3MSCE6LQJKU5V6/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":"2026-06-26T11:29:39Z","links":{"resolver":"https://pith.science/pith/GEEEGEPPBA3S3MSCE6LQJKU5V6","bundle":"https://pith.science/pith/GEEEGEPPBA3S3MSCE6LQJKU5V6/bundle.json","state":"https://pith.science/pith/GEEEGEPPBA3S3MSCE6LQJKU5V6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GEEEGEPPBA3S3MSCE6LQJKU5V6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:GEEEGEPPBA3S3MSCE6LQJKU5V6","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":"321d134be93f9f4f913b88e22ffe3ad86a9d75d8f035a80b2c5763931bb57b9b","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-08-26T22:47:29Z","title_canon_sha256":"534a2556aaf25429668c7eaf578703e29fd60e6ccd4ed1e2e7c15dd2d00d9843"},"schema_version":"1.0","source":{"id":"1308.5716","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.5716","created_at":"2026-05-18T01:36:31Z"},{"alias_kind":"arxiv_version","alias_value":"1308.5716v4","created_at":"2026-05-18T01:36:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.5716","created_at":"2026-05-18T01:36:31Z"},{"alias_kind":"pith_short_12","alias_value":"GEEEGEPPBA3S","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"GEEEGEPPBA3S3MSC","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"GEEEGEPP","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:3b0f121ade61f03a9fc5d83a96097b672445f770fcc6dc366c112ae5f40d729f","target":"graph","created_at":"2026-05-18T01:36:31Z","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":"In this paper we prove that the generating series of the Hodge integrals over the moduli space of stable curves is a solution of a certain deformation of the KdV hierarchy. This hierarchy is constructed in the framework of the Dubrovin-Zhang theory of the hierarchies of the topological type. It occurs that our deformation of the KdV hierarchy is closely related to the hierarchy of the Intermediate Long Wave equation.","authors_text":"A. Buryak","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-08-26T22:47:29Z","title":"Dubrovin-Zhang hierarchy for the Hodge integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.5716","kind":"arxiv","version":4},"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":"sha256:30e3f767dba70c7e0a9e684d9e35890c77cf122ee2335911ab31212877ef0737","target":"record","created_at":"2026-05-18T01:36:31Z","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":"321d134be93f9f4f913b88e22ffe3ad86a9d75d8f035a80b2c5763931bb57b9b","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-08-26T22:47:29Z","title_canon_sha256":"534a2556aaf25429668c7eaf578703e29fd60e6ccd4ed1e2e7c15dd2d00d9843"},"schema_version":"1.0","source":{"id":"1308.5716","kind":"arxiv","version":4}},"canonical_sha256":"31084311ef08372db242279704aa9dafad6cef74bca5a4ffaf949300b671352f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31084311ef08372db242279704aa9dafad6cef74bca5a4ffaf949300b671352f","first_computed_at":"2026-05-18T01:36:31.665441Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:31.665441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dPW34CvmmvneKjXu6dTqLpBJaOOcnE8Jieujysf6YzhLHREOdUp6RguCXgfZ5sMh4QY4JjpDjV6c3IKW0QghDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:31.666102Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.5716","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:30e3f767dba70c7e0a9e684d9e35890c77cf122ee2335911ab31212877ef0737","sha256:3b0f121ade61f03a9fc5d83a96097b672445f770fcc6dc366c112ae5f40d729f"],"state_sha256":"aaa732c53e3bacb2937b6ee9ffdcbfa9a636f52b68881539a9872f7d3466f314"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rGjIItVO5ceWIZJ36ubpEtXpr5nFiIEsBhJIO6xVu9QEydHmdSKRI1EXZ0A8l/jTkOlJwanJoi6CYngGN3iuDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T11:29:39.794356Z","bundle_sha256":"b086bb03289f8f086079f4ad00cd5c944ad4158e24fb28c5cae74fac2c3d4922"}}