{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:ML2T6BPCQQYZJLHKGSO6AZHUIK","short_pith_number":"pith:ML2T6BPC","canonical_record":{"source":{"id":"1704.06996","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-04-23T22:56:46Z","cross_cats_sorted":[],"title_canon_sha256":"cb5516a2aa3092c1aaac3cb489ffdecca2947c44f73b468f29d7696ad1076bca","abstract_canon_sha256":"6e05afd917438a4be9f0f92fa6a04508b36719d3e5677bf6b282f27e19b37210"},"schema_version":"1.0"},"canonical_sha256":"62f53f05e2843194acea349de064f442adefbeff957ade0259b3271fd9153952","source":{"kind":"arxiv","id":"1704.06996","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.06996","created_at":"2026-05-18T00:37:18Z"},{"alias_kind":"arxiv_version","alias_value":"1704.06996v2","created_at":"2026-05-18T00:37:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.06996","created_at":"2026-05-18T00:37:18Z"},{"alias_kind":"pith_short_12","alias_value":"ML2T6BPCQQYZ","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"ML2T6BPCQQYZJLHK","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"ML2T6BPC","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:ML2T6BPCQQYZJLHKGSO6AZHUIK","target":"record","payload":{"canonical_record":{"source":{"id":"1704.06996","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-04-23T22:56:46Z","cross_cats_sorted":[],"title_canon_sha256":"cb5516a2aa3092c1aaac3cb489ffdecca2947c44f73b468f29d7696ad1076bca","abstract_canon_sha256":"6e05afd917438a4be9f0f92fa6a04508b36719d3e5677bf6b282f27e19b37210"},"schema_version":"1.0"},"canonical_sha256":"62f53f05e2843194acea349de064f442adefbeff957ade0259b3271fd9153952","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:18.379941Z","signature_b64":"xpAhnrREb6WIbTWnFCyd6BUSCTjIWnzuY7GJCHTttpQkRXyjn/YHS2olYGERLjkfz0IxHwXiL0y0g7DzunvEBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62f53f05e2843194acea349de064f442adefbeff957ade0259b3271fd9153952","last_reissued_at":"2026-05-18T00:37:18.379083Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:18.379083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.06996","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:37:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gloVI5lQiYIQmu5TPatgMDEdXDAu7+Dg+r5/L80pzjxwfaHNpXyF73VyqxAxMo8LWdI+w0hsDNtph3TtpMx3BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T19:10:30.586766Z"},"content_sha256":"0f53e433f77fb4640fd2870fc5b47b4f2e7ed50b9ee105789694bc0fb1a51192","schema_version":"1.0","event_id":"sha256:0f53e433f77fb4640fd2870fc5b47b4f2e7ed50b9ee105789694bc0fb1a51192"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:ML2T6BPCQQYZJLHKGSO6AZHUIK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"High-precision calculation of the 4-loop contribution to the electron g-2 in QED","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Stefano Laporta","submitted_at":"2017-04-23T22:56:46Z","abstract_excerpt":"I have evaluated up to 1100 digits of precision the contribution of the 891 4-loop Feynman diagrams contributing to the electron $g$-$2$ in QED. The total mass-independent 4-loop contribution is $ a_e = -1.912245764926445574152647167439830054060873390658725345{\\ldots} \\left(\\frac{\\alpha}{\\pi}\\right)^4$. I have fit a semi-analytical expression to the numerical value. The expression contains harmonic polylogarithms of argument $e^{\\frac{i\\pi}{3}}$, $e^{\\frac{2i\\pi}{3}}$, $e^{\\frac{i\\pi}{2}}$, one-dimensional integrals of products of complete elliptic integrals and six finite parts of master inte"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.06996","kind":"arxiv","version":2},"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":"2026-05-18T00:37:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ecec2EHXCwB+E6DKbSHS7ZfB5bAXhFiDMhmV3M3S4yqa52AOeH30HYnHheofvdRHXmeVzNuTs/7zER5hENygBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T19:10:30.587165Z"},"content_sha256":"cb35eb4177d0416f2b6578bdaba0fe670dbdcd83d9abea014ac88c3840595962","schema_version":"1.0","event_id":"sha256:cb35eb4177d0416f2b6578bdaba0fe670dbdcd83d9abea014ac88c3840595962"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ML2T6BPCQQYZJLHKGSO6AZHUIK/bundle.json","state_url":"https://pith.science/pith/ML2T6BPCQQYZJLHKGSO6AZHUIK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ML2T6BPCQQYZJLHKGSO6AZHUIK/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":"2026-05-22T19:10:30Z","links":{"resolver":"https://pith.science/pith/ML2T6BPCQQYZJLHKGSO6AZHUIK","bundle":"https://pith.science/pith/ML2T6BPCQQYZJLHKGSO6AZHUIK/bundle.json","state":"https://pith.science/pith/ML2T6BPCQQYZJLHKGSO6AZHUIK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ML2T6BPCQQYZJLHKGSO6AZHUIK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ML2T6BPCQQYZJLHKGSO6AZHUIK","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":"6e05afd917438a4be9f0f92fa6a04508b36719d3e5677bf6b282f27e19b37210","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-04-23T22:56:46Z","title_canon_sha256":"cb5516a2aa3092c1aaac3cb489ffdecca2947c44f73b468f29d7696ad1076bca"},"schema_version":"1.0","source":{"id":"1704.06996","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.06996","created_at":"2026-05-18T00:37:18Z"},{"alias_kind":"arxiv_version","alias_value":"1704.06996v2","created_at":"2026-05-18T00:37:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.06996","created_at":"2026-05-18T00:37:18Z"},{"alias_kind":"pith_short_12","alias_value":"ML2T6BPCQQYZ","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"ML2T6BPCQQYZJLHK","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"ML2T6BPC","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:cb35eb4177d0416f2b6578bdaba0fe670dbdcd83d9abea014ac88c3840595962","target":"graph","created_at":"2026-05-18T00:37:18Z","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":"I have evaluated up to 1100 digits of precision the contribution of the 891 4-loop Feynman diagrams contributing to the electron $g$-$2$ in QED. The total mass-independent 4-loop contribution is $ a_e = -1.912245764926445574152647167439830054060873390658725345{\\ldots} \\left(\\frac{\\alpha}{\\pi}\\right)^4$. I have fit a semi-analytical expression to the numerical value. The expression contains harmonic polylogarithms of argument $e^{\\frac{i\\pi}{3}}$, $e^{\\frac{2i\\pi}{3}}$, $e^{\\frac{i\\pi}{2}}$, one-dimensional integrals of products of complete elliptic integrals and six finite parts of master inte","authors_text":"Stefano Laporta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-04-23T22:56:46Z","title":"High-precision calculation of the 4-loop contribution to the electron g-2 in QED"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.06996","kind":"arxiv","version":2},"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":"sha256:0f53e433f77fb4640fd2870fc5b47b4f2e7ed50b9ee105789694bc0fb1a51192","target":"record","created_at":"2026-05-18T00:37:18Z","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":"6e05afd917438a4be9f0f92fa6a04508b36719d3e5677bf6b282f27e19b37210","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-04-23T22:56:46Z","title_canon_sha256":"cb5516a2aa3092c1aaac3cb489ffdecca2947c44f73b468f29d7696ad1076bca"},"schema_version":"1.0","source":{"id":"1704.06996","kind":"arxiv","version":2}},"canonical_sha256":"62f53f05e2843194acea349de064f442adefbeff957ade0259b3271fd9153952","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62f53f05e2843194acea349de064f442adefbeff957ade0259b3271fd9153952","first_computed_at":"2026-05-18T00:37:18.379083Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:18.379083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xpAhnrREb6WIbTWnFCyd6BUSCTjIWnzuY7GJCHTttpQkRXyjn/YHS2olYGERLjkfz0IxHwXiL0y0g7DzunvEBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:18.379941Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.06996","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f53e433f77fb4640fd2870fc5b47b4f2e7ed50b9ee105789694bc0fb1a51192","sha256:cb35eb4177d0416f2b6578bdaba0fe670dbdcd83d9abea014ac88c3840595962"],"state_sha256":"e713e0fe04bb11c18d597030f8a39a068ba0a190ccd534249a17ded4e63f078f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4fEQpNC9TvVtOi1Yb7zgnmsU8+2Me3BvVoufEMJ8sU1qXOhSFmxrZDbu3F3xaAd9EL9CCuUZyrV2TVJ/jqN6Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T19:10:30.589171Z","bundle_sha256":"b6f4cdee3933a9b6020650a90ca1c26cccdd784cc395a8c167ed13b08615cecb"}}