{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:2PKAEZTIHP7OTTSBCW4GH6BB3V","short_pith_number":"pith:2PKAEZTI","canonical_record":{"source":{"id":"hep-th/0504085","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-04-09T20:17:01Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f2c07eadad83d996626e0121c0f7f9701db92c6f95208ce61c2ff609ea377e39","abstract_canon_sha256":"317fa54330adb389d49abbd39df7012127b47f2d320b372a663579c2c5e93128"},"schema_version":"1.0"},"canonical_sha256":"d3d40266683bfee9ce4115b863f821dd51b824a2cc95e85d093a2fab2f69c8ff","source":{"kind":"arxiv","id":"hep-th/0504085","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0504085","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0504085v1","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0504085","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"pith_short_12","alias_value":"2PKAEZTIHP7O","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"2PKAEZTIHP7OTTSB","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"2PKAEZTI","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:2PKAEZTIHP7OTTSBCW4GH6BB3V","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0504085","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-04-09T20:17:01Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f2c07eadad83d996626e0121c0f7f9701db92c6f95208ce61c2ff609ea377e39","abstract_canon_sha256":"317fa54330adb389d49abbd39df7012127b47f2d320b372a663579c2c5e93128"},"schema_version":"1.0"},"canonical_sha256":"d3d40266683bfee9ce4115b863f821dd51b824a2cc95e85d093a2fab2f69c8ff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:45.734050Z","signature_b64":"LjBkBPkT7hLWKjqGkCYXLNfFxlvIHJDoLzRX4FOo4jUhmcu6EQJDGpitHqALDJQxGSDmjZN3Ugk1RNUKQqFgBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d3d40266683bfee9ce4115b863f821dd51b824a2cc95e85d093a2fab2f69c8ff","last_reissued_at":"2026-05-18T01:38:45.733669Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:45.733669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0504085","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":"2026-05-18T01:38:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+UQkR5rSwb7DiDP8ACxE7urIdxGl3wEdi1NiB8u7+bK+H7i+7Q0kgB/S3TsBDNJPle41hjq2dbDWocD7KkAqDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T20:04:13.358491Z"},"content_sha256":"99aae53bad3389f8d9deb642013ecb11f23b1346ff490b6ac66891ca9a3bcb05","schema_version":"1.0","event_id":"sha256:99aae53bad3389f8d9deb642013ecb11f23b1346ff490b6ac66891ca9a3bcb05"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:2PKAEZTIHP7OTTSBCW4GH6BB3V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum fields and motives","license":"","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alain Connes (College de France), Matilde Marcolli (MPIM Bonn)","submitted_at":"2005-04-09T20:17:01Z","abstract_excerpt":"This is a survey of our results on the relation between perturbative renormalization and motivic Galois theory. The main result is that all quantum field theories share a common universal symmetry realized as a motivic Galois group, whose action is dictated by the divergences and generalizes that of the renormalization group. The existence of such a group was conjectured by P. Cartier based on number theoretic evidence and on the Connes-Kreimer theory of perturbative renormalization. The group provides a universal formula for counterterms and is obtained via a Riemann-Hilbert correspondence cl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0504085","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":""},"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":"2026-05-18T01:38:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4fKC1zUZKT2RNfuNY9UfXzlnWj21gDJzkeHE46m+9ZXDMUKjbpj7dPRyacNxvq43js1UVjG/ORY8ALIhtbCDCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T20:04:13.358826Z"},"content_sha256":"5f891018109a99cd9b43b9f78aee69501ccd968daee5c10cdd3d9bef3d03eba4","schema_version":"1.0","event_id":"sha256:5f891018109a99cd9b43b9f78aee69501ccd968daee5c10cdd3d9bef3d03eba4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2PKAEZTIHP7OTTSBCW4GH6BB3V/bundle.json","state_url":"https://pith.science/pith/2PKAEZTIHP7OTTSBCW4GH6BB3V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2PKAEZTIHP7OTTSBCW4GH6BB3V/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":"2026-06-29T20:04:13Z","links":{"resolver":"https://pith.science/pith/2PKAEZTIHP7OTTSBCW4GH6BB3V","bundle":"https://pith.science/pith/2PKAEZTIHP7OTTSBCW4GH6BB3V/bundle.json","state":"https://pith.science/pith/2PKAEZTIHP7OTTSBCW4GH6BB3V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2PKAEZTIHP7OTTSBCW4GH6BB3V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:2PKAEZTIHP7OTTSBCW4GH6BB3V","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":"317fa54330adb389d49abbd39df7012127b47f2d320b372a663579c2c5e93128","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"hep-th","submitted_at":"2005-04-09T20:17:01Z","title_canon_sha256":"f2c07eadad83d996626e0121c0f7f9701db92c6f95208ce61c2ff609ea377e39"},"schema_version":"1.0","source":{"id":"hep-th/0504085","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0504085","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0504085v1","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0504085","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"pith_short_12","alias_value":"2PKAEZTIHP7O","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"2PKAEZTIHP7OTTSB","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"2PKAEZTI","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:5f891018109a99cd9b43b9f78aee69501ccd968daee5c10cdd3d9bef3d03eba4","target":"graph","created_at":"2026-05-18T01:38:45Z","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":"This is a survey of our results on the relation between perturbative renormalization and motivic Galois theory. The main result is that all quantum field theories share a common universal symmetry realized as a motivic Galois group, whose action is dictated by the divergences and generalizes that of the renormalization group. The existence of such a group was conjectured by P. Cartier based on number theoretic evidence and on the Connes-Kreimer theory of perturbative renormalization. The group provides a universal formula for counterterms and is obtained via a Riemann-Hilbert correspondence cl","authors_text":"Alain Connes (College de France), Matilde Marcolli (MPIM Bonn)","cross_cats":["math-ph","math.MP"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2005-04-09T20:17:01Z","title":"Quantum fields and motives"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0504085","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":"sha256:99aae53bad3389f8d9deb642013ecb11f23b1346ff490b6ac66891ca9a3bcb05","target":"record","created_at":"2026-05-18T01:38:45Z","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":"317fa54330adb389d49abbd39df7012127b47f2d320b372a663579c2c5e93128","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"hep-th","submitted_at":"2005-04-09T20:17:01Z","title_canon_sha256":"f2c07eadad83d996626e0121c0f7f9701db92c6f95208ce61c2ff609ea377e39"},"schema_version":"1.0","source":{"id":"hep-th/0504085","kind":"arxiv","version":1}},"canonical_sha256":"d3d40266683bfee9ce4115b863f821dd51b824a2cc95e85d093a2fab2f69c8ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d3d40266683bfee9ce4115b863f821dd51b824a2cc95e85d093a2fab2f69c8ff","first_computed_at":"2026-05-18T01:38:45.733669Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:45.733669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LjBkBPkT7hLWKjqGkCYXLNfFxlvIHJDoLzRX4FOo4jUhmcu6EQJDGpitHqALDJQxGSDmjZN3Ugk1RNUKQqFgBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:45.734050Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0504085","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99aae53bad3389f8d9deb642013ecb11f23b1346ff490b6ac66891ca9a3bcb05","sha256:5f891018109a99cd9b43b9f78aee69501ccd968daee5c10cdd3d9bef3d03eba4"],"state_sha256":"64fd0d3cd442075242cae127e1d21a3fb1aed804dfbdfb6cc116c222aca5fe2c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QmMruhSY9BCWOFc2KG01MK9i5zCRTOXTsr92bCsxYLpEyH4ghkbH49YVS6HGD7xkuZyp6N6Iu201BxxocbX0BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T20:04:13.360735Z","bundle_sha256":"27b83b0ecaf2fbc54d5bd762b713c915b61361d2d704b847a0382ff843f7e4df"}}