{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:YHQKJR2IDUP535ZISSOEFZKU2M","short_pith_number":"pith:YHQKJR2I","canonical_record":{"source":{"id":"1601.02871","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-01-12T14:25:34Z","cross_cats_sorted":[],"title_canon_sha256":"9e1d6c2c07b480ead2bc007465ed63a718ac4c1d83ba33a3197a33563c1b9179","abstract_canon_sha256":"e7ac9d9c3d12b65cd4c13eb4920aef95a444442e5e100610ebb96e376b1579e2"},"schema_version":"1.0"},"canonical_sha256":"c1e0a4c7481d1fddf728949c42e554d304832db875a3af0e4ea1faf0ffc8416c","source":{"kind":"arxiv","id":"1601.02871","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.02871","created_at":"2026-05-18T00:20:59Z"},{"alias_kind":"arxiv_version","alias_value":"1601.02871v3","created_at":"2026-05-18T00:20:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.02871","created_at":"2026-05-18T00:20:59Z"},{"alias_kind":"pith_short_12","alias_value":"YHQKJR2IDUP5","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YHQKJR2IDUP535ZI","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YHQKJR2I","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:YHQKJR2IDUP535ZISSOEFZKU2M","target":"record","payload":{"canonical_record":{"source":{"id":"1601.02871","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-01-12T14:25:34Z","cross_cats_sorted":[],"title_canon_sha256":"9e1d6c2c07b480ead2bc007465ed63a718ac4c1d83ba33a3197a33563c1b9179","abstract_canon_sha256":"e7ac9d9c3d12b65cd4c13eb4920aef95a444442e5e100610ebb96e376b1579e2"},"schema_version":"1.0"},"canonical_sha256":"c1e0a4c7481d1fddf728949c42e554d304832db875a3af0e4ea1faf0ffc8416c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:59.904837Z","signature_b64":"l65cSm5l9tCcxh+A5JaIZijiXDa1Yf8T15+grudoa9OfqyjBFewC1OtGGQRcxFUONApepsXYqbVcJ2uTVHvXDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1e0a4c7481d1fddf728949c42e554d304832db875a3af0e4ea1faf0ffc8416c","last_reissued_at":"2026-05-18T00:20:59.904387Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:59.904387Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.02871","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:20:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ExGL9Y3Pt1rHl1GsIBG4BwkftVEB/d+SCrcmGFMdAN794gDCWcjPHKTOZsIPxF6u4NpIRexNQAHK35TrZSeeCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T13:03:56.948372Z"},"content_sha256":"1812a48cd726262b8b3223bf8d586ea333655d876366cf5805e738dff6e2f441","schema_version":"1.0","event_id":"sha256:1812a48cd726262b8b3223bf8d586ea333655d876366cf5805e738dff6e2f441"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:YHQKJR2IDUP535ZISSOEFZKU2M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pixton's double ramification cycle relations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Emily Clader, Felix Janda","submitted_at":"2016-01-12T14:25:34Z","abstract_excerpt":"We prove a conjecture of Pixton, namely that his proposed formula for the double ramification cycle on Mbar_{g,n} vanishes in codimension beyond g. This yields a collection of tautological relations in the Chow ring of Mbar_{g,n}. We describe, furthermore, how these relations can be obtained from Pixton's 3-spin relations via localization on the moduli space of stable maps to an orbifold projective line."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.02871","kind":"arxiv","version":3},"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":"2026-05-18T00:20:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KywEkUrlEps3GpjmZg3C9FOsLLaz97OYb0zv47MxBNEqY1YTVbMgLk781JK8ERNbTZTwj/VznMNEjBz7rayLDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T13:03:56.948726Z"},"content_sha256":"6cda948b38a03b94dfb0dcfbebc639bc56bb1c3d475f35a5860193c279110c77","schema_version":"1.0","event_id":"sha256:6cda948b38a03b94dfb0dcfbebc639bc56bb1c3d475f35a5860193c279110c77"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YHQKJR2IDUP535ZISSOEFZKU2M/bundle.json","state_url":"https://pith.science/pith/YHQKJR2IDUP535ZISSOEFZKU2M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YHQKJR2IDUP535ZISSOEFZKU2M/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":"2026-06-06T13:03:56Z","links":{"resolver":"https://pith.science/pith/YHQKJR2IDUP535ZISSOEFZKU2M","bundle":"https://pith.science/pith/YHQKJR2IDUP535ZISSOEFZKU2M/bundle.json","state":"https://pith.science/pith/YHQKJR2IDUP535ZISSOEFZKU2M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YHQKJR2IDUP535ZISSOEFZKU2M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YHQKJR2IDUP535ZISSOEFZKU2M","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":"e7ac9d9c3d12b65cd4c13eb4920aef95a444442e5e100610ebb96e376b1579e2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-01-12T14:25:34Z","title_canon_sha256":"9e1d6c2c07b480ead2bc007465ed63a718ac4c1d83ba33a3197a33563c1b9179"},"schema_version":"1.0","source":{"id":"1601.02871","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.02871","created_at":"2026-05-18T00:20:59Z"},{"alias_kind":"arxiv_version","alias_value":"1601.02871v3","created_at":"2026-05-18T00:20:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.02871","created_at":"2026-05-18T00:20:59Z"},{"alias_kind":"pith_short_12","alias_value":"YHQKJR2IDUP5","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YHQKJR2IDUP535ZI","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YHQKJR2I","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:6cda948b38a03b94dfb0dcfbebc639bc56bb1c3d475f35a5860193c279110c77","target":"graph","created_at":"2026-05-18T00:20:59Z","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 prove a conjecture of Pixton, namely that his proposed formula for the double ramification cycle on Mbar_{g,n} vanishes in codimension beyond g. This yields a collection of tautological relations in the Chow ring of Mbar_{g,n}. We describe, furthermore, how these relations can be obtained from Pixton's 3-spin relations via localization on the moduli space of stable maps to an orbifold projective line.","authors_text":"Emily Clader, Felix Janda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-01-12T14:25:34Z","title":"Pixton's double ramification cycle relations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.02871","kind":"arxiv","version":3},"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":"sha256:1812a48cd726262b8b3223bf8d586ea333655d876366cf5805e738dff6e2f441","target":"record","created_at":"2026-05-18T00:20:59Z","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":"e7ac9d9c3d12b65cd4c13eb4920aef95a444442e5e100610ebb96e376b1579e2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-01-12T14:25:34Z","title_canon_sha256":"9e1d6c2c07b480ead2bc007465ed63a718ac4c1d83ba33a3197a33563c1b9179"},"schema_version":"1.0","source":{"id":"1601.02871","kind":"arxiv","version":3}},"canonical_sha256":"c1e0a4c7481d1fddf728949c42e554d304832db875a3af0e4ea1faf0ffc8416c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c1e0a4c7481d1fddf728949c42e554d304832db875a3af0e4ea1faf0ffc8416c","first_computed_at":"2026-05-18T00:20:59.904387Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:59.904387Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l65cSm5l9tCcxh+A5JaIZijiXDa1Yf8T15+grudoa9OfqyjBFewC1OtGGQRcxFUONApepsXYqbVcJ2uTVHvXDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:59.904837Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.02871","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1812a48cd726262b8b3223bf8d586ea333655d876366cf5805e738dff6e2f441","sha256:6cda948b38a03b94dfb0dcfbebc639bc56bb1c3d475f35a5860193c279110c77"],"state_sha256":"ba6331684417e8f8c024f6ac1be79abfffa13c301125c0460ef5a0214e66c55d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MD68erd+99g+6M003AXrGcmRF3x351eIxT5pmOZasvht81E13k1QK8q5tzqFJM0OyrjoZeXC/joJ6++TrfyBCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T13:03:56.951191Z","bundle_sha256":"826bb8433e48ee74214bb9bbecddbe5ff85f9ff94c500c6270e5ec53fb40f932"}}