{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:KEP5QZMSR4AKAXIRZXCFDEGPUH","short_pith_number":"pith:KEP5QZMS","canonical_record":{"source":{"id":"2011.04781","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-11-09T21:29:25Z","cross_cats_sorted":[],"title_canon_sha256":"b9ef10d5c5e0570a8a8fccb99a33b3b02197330995fd1d470ed89fb0d46a6a9b","abstract_canon_sha256":"6884524391ebfe22c8a044dce7dd67a5a986e96d77ea3bcf67ce24a4b8155b45"},"schema_version":"1.0"},"canonical_sha256":"511fd865928f00a05d11cdc45190cfa1e72ec4aacf8291341e706e4e1e7d0de0","source":{"kind":"arxiv","id":"2011.04781","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2011.04781","created_at":"2026-07-05T02:35:21Z"},{"alias_kind":"arxiv_version","alias_value":"2011.04781v1","created_at":"2026-07-05T02:35:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.04781","created_at":"2026-07-05T02:35:21Z"},{"alias_kind":"pith_short_12","alias_value":"KEP5QZMSR4AK","created_at":"2026-07-05T02:35:21Z"},{"alias_kind":"pith_short_16","alias_value":"KEP5QZMSR4AKAXIR","created_at":"2026-07-05T02:35:21Z"},{"alias_kind":"pith_short_8","alias_value":"KEP5QZMS","created_at":"2026-07-05T02:35:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:KEP5QZMSR4AKAXIRZXCFDEGPUH","target":"record","payload":{"canonical_record":{"source":{"id":"2011.04781","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-11-09T21:29:25Z","cross_cats_sorted":[],"title_canon_sha256":"b9ef10d5c5e0570a8a8fccb99a33b3b02197330995fd1d470ed89fb0d46a6a9b","abstract_canon_sha256":"6884524391ebfe22c8a044dce7dd67a5a986e96d77ea3bcf67ce24a4b8155b45"},"schema_version":"1.0"},"canonical_sha256":"511fd865928f00a05d11cdc45190cfa1e72ec4aacf8291341e706e4e1e7d0de0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:35:21.110176Z","signature_b64":"94JifubXDd99nJ1phoo0n4TNSSXtd77Qs9CawRiT+dpm/lyRW/F+QlTNREaaDyqmTZ/Vv+k9wuhm4CwWBSEQDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"511fd865928f00a05d11cdc45190cfa1e72ec4aacf8291341e706e4e1e7d0de0","last_reissued_at":"2026-07-05T02:35:21.109717Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:35:21.109717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2011.04781","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":"2026-07-05T02:35:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lGOAtC1pgOPa0Xgegxbq2KNV/ONeBPsc/hEyJ7eaSEz0IL/Ml1qCFeV73n3QNUHl/WmKyu6QodERcdMMow6lCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T10:33:58.287580Z"},"content_sha256":"9a7fef4654d8f3f3cb42a13f2e992395d4e1aeff23e1d8666e3063a9ce482df3","schema_version":"1.0","event_id":"sha256:9a7fef4654d8f3f3cb42a13f2e992395d4e1aeff23e1d8666e3063a9ce482df3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:KEP5QZMSR4AKAXIRZXCFDEGPUH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cosmic Wheels: From integrability to the Galois coaction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"\\\"Omer G\\\"urdo\\u{g}an","submitted_at":"2020-11-09T21:29:25Z","abstract_excerpt":"We argue that the description of Feynman loop integrals as integrable systems is intimately connected with their motivic properties and the action of the Cosmic Galois Group. We show how in the case of a family of fishnet graphs, coaction relations between graphs follow directly from iterative constructions of Q-functions in the Quantum Spectral Curve formalism. Using this observation we conjecture a \"differential equation for numbers\" that enter these periods."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.04781","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/2011.04781/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":"2026-07-05T02:35:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PwYlK7pQrnNJdIhb3UKvCuYureh4WeWFwsD+3cMQBRHKSgOArljQ9eAXdBJmr/TwLfdfsI5eQbOoNA3ieUWMAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T10:33:58.288180Z"},"content_sha256":"c5a90132356146442c154aedd02ae40a0056f3d5be0b3fccb61e8d04e29d1573","schema_version":"1.0","event_id":"sha256:c5a90132356146442c154aedd02ae40a0056f3d5be0b3fccb61e8d04e29d1573"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KEP5QZMSR4AKAXIRZXCFDEGPUH/bundle.json","state_url":"https://pith.science/pith/KEP5QZMSR4AKAXIRZXCFDEGPUH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KEP5QZMSR4AKAXIRZXCFDEGPUH/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":"2026-08-07T10:33:58Z","links":{"resolver":"https://pith.science/pith/KEP5QZMSR4AKAXIRZXCFDEGPUH","bundle":"https://pith.science/pith/KEP5QZMSR4AKAXIRZXCFDEGPUH/bundle.json","state":"https://pith.science/pith/KEP5QZMSR4AKAXIRZXCFDEGPUH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KEP5QZMSR4AKAXIRZXCFDEGPUH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:KEP5QZMSR4AKAXIRZXCFDEGPUH","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":"6884524391ebfe22c8a044dce7dd67a5a986e96d77ea3bcf67ce24a4b8155b45","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-11-09T21:29:25Z","title_canon_sha256":"b9ef10d5c5e0570a8a8fccb99a33b3b02197330995fd1d470ed89fb0d46a6a9b"},"schema_version":"1.0","source":{"id":"2011.04781","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2011.04781","created_at":"2026-07-05T02:35:21Z"},{"alias_kind":"arxiv_version","alias_value":"2011.04781v1","created_at":"2026-07-05T02:35:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.04781","created_at":"2026-07-05T02:35:21Z"},{"alias_kind":"pith_short_12","alias_value":"KEP5QZMSR4AK","created_at":"2026-07-05T02:35:21Z"},{"alias_kind":"pith_short_16","alias_value":"KEP5QZMSR4AKAXIR","created_at":"2026-07-05T02:35:21Z"},{"alias_kind":"pith_short_8","alias_value":"KEP5QZMS","created_at":"2026-07-05T02:35:21Z"}],"graph_snapshots":[{"event_id":"sha256:c5a90132356146442c154aedd02ae40a0056f3d5be0b3fccb61e8d04e29d1573","target":"graph","created_at":"2026-07-05T02:35:21Z","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/2011.04781/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We argue that the description of Feynman loop integrals as integrable systems is intimately connected with their motivic properties and the action of the Cosmic Galois Group. We show how in the case of a family of fishnet graphs, coaction relations between graphs follow directly from iterative constructions of Q-functions in the Quantum Spectral Curve formalism. Using this observation we conjecture a \"differential equation for numbers\" that enter these periods.","authors_text":"\\\"Omer G\\\"urdo\\u{g}an","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-11-09T21:29:25Z","title":"Cosmic Wheels: From integrability to the Galois coaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.04781","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":"sha256:9a7fef4654d8f3f3cb42a13f2e992395d4e1aeff23e1d8666e3063a9ce482df3","target":"record","created_at":"2026-07-05T02:35:21Z","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":"6884524391ebfe22c8a044dce7dd67a5a986e96d77ea3bcf67ce24a4b8155b45","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-11-09T21:29:25Z","title_canon_sha256":"b9ef10d5c5e0570a8a8fccb99a33b3b02197330995fd1d470ed89fb0d46a6a9b"},"schema_version":"1.0","source":{"id":"2011.04781","kind":"arxiv","version":1}},"canonical_sha256":"511fd865928f00a05d11cdc45190cfa1e72ec4aacf8291341e706e4e1e7d0de0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"511fd865928f00a05d11cdc45190cfa1e72ec4aacf8291341e706e4e1e7d0de0","first_computed_at":"2026-07-05T02:35:21.109717Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:35:21.109717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"94JifubXDd99nJ1phoo0n4TNSSXtd77Qs9CawRiT+dpm/lyRW/F+QlTNREaaDyqmTZ/Vv+k9wuhm4CwWBSEQDw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:35:21.110176Z","signed_message":"canonical_sha256_bytes"},"source_id":"2011.04781","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a7fef4654d8f3f3cb42a13f2e992395d4e1aeff23e1d8666e3063a9ce482df3","sha256:c5a90132356146442c154aedd02ae40a0056f3d5be0b3fccb61e8d04e29d1573"],"state_sha256":"618268cf144a68500b676be2507d9a34abf43dfc5f93c17bd3e2ad7a91937b02"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mRVBkslKg2Y2LD1hURxISo3kZqHEjs6ZyBRBkSWsLaaDU2GzeQ2TTRlceCGU1wIoP19YUustTDU+wxTRP2/RAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T10:33:58.293968Z","bundle_sha256":"ab5677e42c37b9a2d472a0be656de6405c23854fb2b8cd063ba43ea0ce885f5b"}}