{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:2AA7OTAPNJ7RUO2A7O27YFBWRQ","short_pith_number":"pith:2AA7OTAP","canonical_record":{"source":{"id":"0909.1431","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-09-08T15:34:18Z","cross_cats_sorted":[],"title_canon_sha256":"170427fb619b463739753ad40e338db727c47d717c5e89e83648dc67deb0e5be","abstract_canon_sha256":"a6c6ad6265aae0a2d682d9c8b91c7caf4bcd632cc347b4d475fd16134ac026a7"},"schema_version":"1.0"},"canonical_sha256":"d001f74c0f6a7f1a3b40fbb5fc14368c308ad9baf3d11fc27f9a47a331b936cb","source":{"kind":"arxiv","id":"0909.1431","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.1431","created_at":"2026-05-18T02:11:58Z"},{"alias_kind":"arxiv_version","alias_value":"0909.1431v2","created_at":"2026-05-18T02:11:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.1431","created_at":"2026-05-18T02:11:58Z"},{"alias_kind":"pith_short_12","alias_value":"2AA7OTAPNJ7R","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"2AA7OTAPNJ7RUO2A","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"2AA7OTAP","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:2AA7OTAPNJ7RUO2A7O27YFBWRQ","target":"record","payload":{"canonical_record":{"source":{"id":"0909.1431","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-09-08T15:34:18Z","cross_cats_sorted":[],"title_canon_sha256":"170427fb619b463739753ad40e338db727c47d717c5e89e83648dc67deb0e5be","abstract_canon_sha256":"a6c6ad6265aae0a2d682d9c8b91c7caf4bcd632cc347b4d475fd16134ac026a7"},"schema_version":"1.0"},"canonical_sha256":"d001f74c0f6a7f1a3b40fbb5fc14368c308ad9baf3d11fc27f9a47a331b936cb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:11:58.598161Z","signature_b64":"CfxgKHhxXlYChe5u0S/4fbUnNsqpsOnlWryOlhbaJnpSd7VzT4hSIE5SqpxtzbUqlGnRl1dTaU/04NfNFBwoAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d001f74c0f6a7f1a3b40fbb5fc14368c308ad9baf3d11fc27f9a47a331b936cb","last_reissued_at":"2026-05-18T02:11:58.597483Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:11:58.597483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0909.1431","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":"2026-05-18T02:11:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4ccCmgScBSdfqCMDIgZ3vLQeP2EhdsII9ku4UXtqMTXNoYf8ACY3+ZbGACx2jiUb/do6JOMNPoJ281Q1azZNCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T04:22:44.114069Z"},"content_sha256":"ed5efb93563b981d8c37710c1a166efdd2495416c1e3ef228739b81c7096ebcb","schema_version":"1.0","event_id":"sha256:ed5efb93563b981d8c37710c1a166efdd2495416c1e3ef228739b81c7096ebcb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:2AA7OTAPNJ7RUO2A7O27YFBWRQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Orthopositronium lifetime at O(alpha) and O(alpha^3 ln(alpha)) in closed form","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A.V. Kotikov, B.A. Kniehl, O.L. Veretin","submitted_at":"2009-09-08T15:34:18Z","abstract_excerpt":"Recently, the O(alpha) and O(alpha^3 ln(alpha)) radiative corrections to the orthopositronium lifetime have been presented in closed analytical form, in terms of basic irrational numbers that can be evaluated numerically to arbitrary precision [Phys. Rev. Lett. 101, 193401 (2008)]. Here, we present the details of this calculation and reveal the nature of these new constants. We also list explicit transformation formulas for generalized polylogarithms of weight four, which may be useful for other applications."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.1431","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":"2026-05-18T02:11:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z+zuXaZ9Wyvj+1yRJjhCRBaUG+8xRadtWsZ+bgGdRppLM4hvFr5ZMklGJby5M2Xi888kzR48GVl29UMWmMpFDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T04:22:44.114441Z"},"content_sha256":"51ef617962f9b1a4eac32e48b7c17c4cc3306429df4f8433f7682fc42ce102a7","schema_version":"1.0","event_id":"sha256:51ef617962f9b1a4eac32e48b7c17c4cc3306429df4f8433f7682fc42ce102a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2AA7OTAPNJ7RUO2A7O27YFBWRQ/bundle.json","state_url":"https://pith.science/pith/2AA7OTAPNJ7RUO2A7O27YFBWRQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2AA7OTAPNJ7RUO2A7O27YFBWRQ/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":"2026-06-03T04:22:44Z","links":{"resolver":"https://pith.science/pith/2AA7OTAPNJ7RUO2A7O27YFBWRQ","bundle":"https://pith.science/pith/2AA7OTAPNJ7RUO2A7O27YFBWRQ/bundle.json","state":"https://pith.science/pith/2AA7OTAPNJ7RUO2A7O27YFBWRQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2AA7OTAPNJ7RUO2A7O27YFBWRQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:2AA7OTAPNJ7RUO2A7O27YFBWRQ","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":"a6c6ad6265aae0a2d682d9c8b91c7caf4bcd632cc347b4d475fd16134ac026a7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-09-08T15:34:18Z","title_canon_sha256":"170427fb619b463739753ad40e338db727c47d717c5e89e83648dc67deb0e5be"},"schema_version":"1.0","source":{"id":"0909.1431","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.1431","created_at":"2026-05-18T02:11:58Z"},{"alias_kind":"arxiv_version","alias_value":"0909.1431v2","created_at":"2026-05-18T02:11:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.1431","created_at":"2026-05-18T02:11:58Z"},{"alias_kind":"pith_short_12","alias_value":"2AA7OTAPNJ7R","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"2AA7OTAPNJ7RUO2A","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"2AA7OTAP","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:51ef617962f9b1a4eac32e48b7c17c4cc3306429df4f8433f7682fc42ce102a7","target":"graph","created_at":"2026-05-18T02:11:58Z","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":"Recently, the O(alpha) and O(alpha^3 ln(alpha)) radiative corrections to the orthopositronium lifetime have been presented in closed analytical form, in terms of basic irrational numbers that can be evaluated numerically to arbitrary precision [Phys. Rev. Lett. 101, 193401 (2008)]. Here, we present the details of this calculation and reveal the nature of these new constants. We also list explicit transformation formulas for generalized polylogarithms of weight four, which may be useful for other applications.","authors_text":"A.V. Kotikov, B.A. Kniehl, O.L. Veretin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-09-08T15:34:18Z","title":"Orthopositronium lifetime at O(alpha) and O(alpha^3 ln(alpha)) in closed form"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.1431","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:ed5efb93563b981d8c37710c1a166efdd2495416c1e3ef228739b81c7096ebcb","target":"record","created_at":"2026-05-18T02:11:58Z","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":"a6c6ad6265aae0a2d682d9c8b91c7caf4bcd632cc347b4d475fd16134ac026a7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-09-08T15:34:18Z","title_canon_sha256":"170427fb619b463739753ad40e338db727c47d717c5e89e83648dc67deb0e5be"},"schema_version":"1.0","source":{"id":"0909.1431","kind":"arxiv","version":2}},"canonical_sha256":"d001f74c0f6a7f1a3b40fbb5fc14368c308ad9baf3d11fc27f9a47a331b936cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d001f74c0f6a7f1a3b40fbb5fc14368c308ad9baf3d11fc27f9a47a331b936cb","first_computed_at":"2026-05-18T02:11:58.597483Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:11:58.597483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CfxgKHhxXlYChe5u0S/4fbUnNsqpsOnlWryOlhbaJnpSd7VzT4hSIE5SqpxtzbUqlGnRl1dTaU/04NfNFBwoAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:11:58.598161Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.1431","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed5efb93563b981d8c37710c1a166efdd2495416c1e3ef228739b81c7096ebcb","sha256:51ef617962f9b1a4eac32e48b7c17c4cc3306429df4f8433f7682fc42ce102a7"],"state_sha256":"8b7c51eb39c06a0be1320e33b2ee94c275ae55a75d46413461da7158cfaeaff3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2o0iQvrzXlBXLBCqQwrrNC1hAMN/w9jpp8t1cNyEnRgBnVoTN2+VLkacXPuRVLWTGzPszHx5aKXDJtjO51QbCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T04:22:44.116461Z","bundle_sha256":"daf46ecb654dfd9166e99d9e053831b7f5311c59008f7ce576ddbed6113ad827"}}