{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:GYYZPMDCWCSLXHPSSNVUI3JOOH","short_pith_number":"pith:GYYZPMDC","canonical_record":{"source":{"id":"1712.03490","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-12-10T09:08:53Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"259f8fdb801bc8cf16751e51087ef5835cc3e38f6b8219ca57bd8eb7624a4d57","abstract_canon_sha256":"45ecfaefafab9b37ed423821139c80d1d8924d7b01e34ac2817c43603d72e76b"},"schema_version":"1.0"},"canonical_sha256":"363197b062b0a4bb9df2936b446d2e71e9a69e4aebf7cf4436a96b94100f6d99","source":{"kind":"arxiv","id":"1712.03490","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.03490","created_at":"2026-05-18T00:28:21Z"},{"alias_kind":"arxiv_version","alias_value":"1712.03490v1","created_at":"2026-05-18T00:28:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.03490","created_at":"2026-05-18T00:28:21Z"},{"alias_kind":"pith_short_12","alias_value":"GYYZPMDCWCSL","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GYYZPMDCWCSLXHPS","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GYYZPMDC","created_at":"2026-05-18T12:31:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:GYYZPMDCWCSLXHPSSNVUI3JOOH","target":"record","payload":{"canonical_record":{"source":{"id":"1712.03490","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-12-10T09:08:53Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"259f8fdb801bc8cf16751e51087ef5835cc3e38f6b8219ca57bd8eb7624a4d57","abstract_canon_sha256":"45ecfaefafab9b37ed423821139c80d1d8924d7b01e34ac2817c43603d72e76b"},"schema_version":"1.0"},"canonical_sha256":"363197b062b0a4bb9df2936b446d2e71e9a69e4aebf7cf4436a96b94100f6d99","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:21.093706Z","signature_b64":"ZWyB1P3eMWTUo0+B89fNkUSVpjz6u1HXMrDwoEkvVPOBMO8sJFWOwGb5kqHM6Kly9yKanAudg4SM5kmqIg+rCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"363197b062b0a4bb9df2936b446d2e71e9a69e4aebf7cf4436a96b94100f6d99","last_reissued_at":"2026-05-18T00:28:21.093067Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:21.093067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.03490","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":"2026-05-18T00:28:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nH+V+h8mlVhgdvN5KeCZiOauaNc/4jvP0iHI85AMgg243/16/kDqm8OOMe2oq6sjiJHiMEWGAYyQLl0rwId+AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T15:23:10.516525Z"},"content_sha256":"3e4be37086ffee513ac74622bec8f3ce5174fb2c282a9db9e17552b759353227","schema_version":"1.0","event_id":"sha256:3e4be37086ffee513ac74622bec8f3ce5174fb2c282a9db9e17552b759353227"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:GYYZPMDCWCSLXHPSSNVUI3JOOH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalization of Feynman amplitudes on manifolds by spectral zeta regularization and blow-ups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Bin Zhang, Nguyen Viet Dang","submitted_at":"2017-12-10T09:08:53Z","abstract_excerpt":"Our goal in this paper is to present a generalization of the spectral zeta regularization for general Feynman amplitudes. Our method uses complex powers of elliptic operators but involves several complex parameters in the spirit of the analytic renormalization by Speer, to build mathematical foundations for the renormalization of perturbative interacting quantum field theories. Our main result shows that spectrally regularized Feynman amplitudes admit an analytic continuation as meromorphic germs with linear poles in the sense of the works of Guo-Paycha and the second author. We also give an e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.03490","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":"2026-05-18T00:28:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ia4Ti7jqdvQjyl9XOfeWIXm78iAQFrG+Wr+YzAgK2DQ0KjoXbR4wov9lrpC970u6Qgw5vExz1/QxUu2BT6FeBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T15:23:10.516885Z"},"content_sha256":"67e4f32b3a026c2130eb4edccd8d245bc6a6cd3ae689eb3eab570d6e7e7b341f","schema_version":"1.0","event_id":"sha256:67e4f32b3a026c2130eb4edccd8d245bc6a6cd3ae689eb3eab570d6e7e7b341f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GYYZPMDCWCSLXHPSSNVUI3JOOH/bundle.json","state_url":"https://pith.science/pith/GYYZPMDCWCSLXHPSSNVUI3JOOH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GYYZPMDCWCSLXHPSSNVUI3JOOH/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":"2026-06-22T15:23:10Z","links":{"resolver":"https://pith.science/pith/GYYZPMDCWCSLXHPSSNVUI3JOOH","bundle":"https://pith.science/pith/GYYZPMDCWCSLXHPSSNVUI3JOOH/bundle.json","state":"https://pith.science/pith/GYYZPMDCWCSLXHPSSNVUI3JOOH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GYYZPMDCWCSLXHPSSNVUI3JOOH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:GYYZPMDCWCSLXHPSSNVUI3JOOH","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":"45ecfaefafab9b37ed423821139c80d1d8924d7b01e34ac2817c43603d72e76b","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-12-10T09:08:53Z","title_canon_sha256":"259f8fdb801bc8cf16751e51087ef5835cc3e38f6b8219ca57bd8eb7624a4d57"},"schema_version":"1.0","source":{"id":"1712.03490","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.03490","created_at":"2026-05-18T00:28:21Z"},{"alias_kind":"arxiv_version","alias_value":"1712.03490v1","created_at":"2026-05-18T00:28:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.03490","created_at":"2026-05-18T00:28:21Z"},{"alias_kind":"pith_short_12","alias_value":"GYYZPMDCWCSL","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GYYZPMDCWCSLXHPS","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GYYZPMDC","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:67e4f32b3a026c2130eb4edccd8d245bc6a6cd3ae689eb3eab570d6e7e7b341f","target":"graph","created_at":"2026-05-18T00:28:21Z","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"},"paper":{"abstract_excerpt":"Our goal in this paper is to present a generalization of the spectral zeta regularization for general Feynman amplitudes. Our method uses complex powers of elliptic operators but involves several complex parameters in the spirit of the analytic renormalization by Speer, to build mathematical foundations for the renormalization of perturbative interacting quantum field theories. Our main result shows that spectrally regularized Feynman amplitudes admit an analytic continuation as meromorphic germs with linear poles in the sense of the works of Guo-Paycha and the second author. We also give an e","authors_text":"Bin Zhang, Nguyen Viet Dang","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-12-10T09:08:53Z","title":"Renormalization of Feynman amplitudes on manifolds by spectral zeta regularization and blow-ups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.03490","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":"sha256:3e4be37086ffee513ac74622bec8f3ce5174fb2c282a9db9e17552b759353227","target":"record","created_at":"2026-05-18T00:28:21Z","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":"45ecfaefafab9b37ed423821139c80d1d8924d7b01e34ac2817c43603d72e76b","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-12-10T09:08:53Z","title_canon_sha256":"259f8fdb801bc8cf16751e51087ef5835cc3e38f6b8219ca57bd8eb7624a4d57"},"schema_version":"1.0","source":{"id":"1712.03490","kind":"arxiv","version":1}},"canonical_sha256":"363197b062b0a4bb9df2936b446d2e71e9a69e4aebf7cf4436a96b94100f6d99","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"363197b062b0a4bb9df2936b446d2e71e9a69e4aebf7cf4436a96b94100f6d99","first_computed_at":"2026-05-18T00:28:21.093067Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:21.093067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZWyB1P3eMWTUo0+B89fNkUSVpjz6u1HXMrDwoEkvVPOBMO8sJFWOwGb5kqHM6Kly9yKanAudg4SM5kmqIg+rCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:21.093706Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.03490","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e4be37086ffee513ac74622bec8f3ce5174fb2c282a9db9e17552b759353227","sha256:67e4f32b3a026c2130eb4edccd8d245bc6a6cd3ae689eb3eab570d6e7e7b341f"],"state_sha256":"c64e654f1bd45bec3e53b10537d286b7f3e13be1b23aff208160eeb3d976a903"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"roB7fx0MPQXeiKXzlk9zlINJA/msYEcIU9zHb/N6SrVD1+ygDUI2aVJweaRrcrP1yYzSsdJrCbSSFEVoRwJzAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T15:23:10.519080Z","bundle_sha256":"0008e51e89711d744b4be1f9851a1cd90d1bfa6cc4eee7b88dcc02ffaef5a54f"}}