{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:EUUNAZPS66VUIQ6AY4F4V6H4P3","short_pith_number":"pith:EUUNAZPS","canonical_record":{"source":{"id":"hep-th/0508199","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-08-26T14:30:41Z","cross_cats_sorted":[],"title_canon_sha256":"43a7e56a9d92a2edec9c54a0d15b9713f589641f2ce18d9681feeec5238506c9","abstract_canon_sha256":"c5d4e8699b1068cdbb9c8cf4839f7a693e849569439f971329f24cc994c82f85"},"schema_version":"1.0"},"canonical_sha256":"2528d065f2f7ab4443c0c70bcaf8fc7ef51f51b4742b211a0e7245083887a742","source":{"kind":"arxiv","id":"hep-th/0508199","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0508199","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0508199v3","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0508199","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"pith_short_12","alias_value":"EUUNAZPS66VU","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"EUUNAZPS66VUIQ6A","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"EUUNAZPS","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:EUUNAZPS66VUIQ6AY4F4V6H4P3","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0508199","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-08-26T14:30:41Z","cross_cats_sorted":[],"title_canon_sha256":"43a7e56a9d92a2edec9c54a0d15b9713f589641f2ce18d9681feeec5238506c9","abstract_canon_sha256":"c5d4e8699b1068cdbb9c8cf4839f7a693e849569439f971329f24cc994c82f85"},"schema_version":"1.0"},"canonical_sha256":"2528d065f2f7ab4443c0c70bcaf8fc7ef51f51b4742b211a0e7245083887a742","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:56.892707Z","signature_b64":"jTIj290EPAYGzYwd9MS47IWD022az3qBr3LombruJG1w/YrwSRrWYQy8hm/gl6rFlJa2hH7OLH5T7vbvocpcDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2528d065f2f7ab4443c0c70bcaf8fc7ef51f51b4742b211a0e7245083887a742","last_reissued_at":"2026-05-18T01:05:56.892044Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:56.892044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0508199","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:05:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CarB59e5vxTtZc220u0PoUBdvcqT/ybULHM8DFEQUpxjuKfl48jCCGR4y46CSdJbjrUkhPwNEZ634Nyqabm1BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T12:04:05.532417Z"},"content_sha256":"d00ac5de65c768d1c3159e02c92f86eb06bf96510fa3fb9eee98da0526b99a67","schema_version":"1.0","event_id":"sha256:d00ac5de65c768d1c3159e02c92f86eb06bf96510fa3fb9eee98da0526b99a67"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:EUUNAZPS66VUIQ6AY4F4V6H4P3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Perturbative self-interacting scalar field theory: a differential equation approach","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"C. H. Coimbra-Araujo, E. Capelas de Oliveira, R. da Rocha","submitted_at":"2005-08-26T14:30:41Z","abstract_excerpt":"We revisit the investigation about the partition function related to a \\phi^4-scalar field theory on a n-dimensional Minkowski spacetime, which is shown to be a self-interacting scalar field theory at least in 4-dimensional Minkowski spacetime. After rederiving the analytical calculation of the perturbative expansion coefficients and also the approximate values for suitable limits using Stirling's formulae, which consists of Witten's proposed questions, solved by P. Deligne, D. Freed, L. Jeffrey, and S. Wu, we investigate a spherically symmetric scalar field in a n-dimensional Minkowski spacet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0508199","kind":"arxiv","version":3},"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":"2026-05-18T01:05:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p55eFfaNy3j/dxwNgY0G/SXs2NQuxva4Q3JsyhPh+73DxfbxCpGVwD42c/Pm7ThL2Rp8Fea8oIKKURtQRRHWCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T12:04:05.532930Z"},"content_sha256":"78c4f1cfccb942bf00c727295d13e78af18fd17610202cd25edd2506687c01e6","schema_version":"1.0","event_id":"sha256:78c4f1cfccb942bf00c727295d13e78af18fd17610202cd25edd2506687c01e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EUUNAZPS66VUIQ6AY4F4V6H4P3/bundle.json","state_url":"https://pith.science/pith/EUUNAZPS66VUIQ6AY4F4V6H4P3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EUUNAZPS66VUIQ6AY4F4V6H4P3/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":"2026-05-25T12:04:05Z","links":{"resolver":"https://pith.science/pith/EUUNAZPS66VUIQ6AY4F4V6H4P3","bundle":"https://pith.science/pith/EUUNAZPS66VUIQ6AY4F4V6H4P3/bundle.json","state":"https://pith.science/pith/EUUNAZPS66VUIQ6AY4F4V6H4P3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EUUNAZPS66VUIQ6AY4F4V6H4P3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:EUUNAZPS66VUIQ6AY4F4V6H4P3","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":"c5d4e8699b1068cdbb9c8cf4839f7a693e849569439f971329f24cc994c82f85","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2005-08-26T14:30:41Z","title_canon_sha256":"43a7e56a9d92a2edec9c54a0d15b9713f589641f2ce18d9681feeec5238506c9"},"schema_version":"1.0","source":{"id":"hep-th/0508199","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0508199","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0508199v3","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0508199","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"pith_short_12","alias_value":"EUUNAZPS66VU","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"EUUNAZPS66VUIQ6A","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"EUUNAZPS","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:78c4f1cfccb942bf00c727295d13e78af18fd17610202cd25edd2506687c01e6","target":"graph","created_at":"2026-05-18T01:05:56Z","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":"We revisit the investigation about the partition function related to a \\phi^4-scalar field theory on a n-dimensional Minkowski spacetime, which is shown to be a self-interacting scalar field theory at least in 4-dimensional Minkowski spacetime. After rederiving the analytical calculation of the perturbative expansion coefficients and also the approximate values for suitable limits using Stirling's formulae, which consists of Witten's proposed questions, solved by P. Deligne, D. Freed, L. Jeffrey, and S. Wu, we investigate a spherically symmetric scalar field in a n-dimensional Minkowski spacet","authors_text":"C. H. Coimbra-Araujo, E. Capelas de Oliveira, R. da Rocha","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2005-08-26T14:30:41Z","title":"Perturbative self-interacting scalar field theory: a differential equation approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0508199","kind":"arxiv","version":3},"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:d00ac5de65c768d1c3159e02c92f86eb06bf96510fa3fb9eee98da0526b99a67","target":"record","created_at":"2026-05-18T01:05:56Z","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":"c5d4e8699b1068cdbb9c8cf4839f7a693e849569439f971329f24cc994c82f85","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2005-08-26T14:30:41Z","title_canon_sha256":"43a7e56a9d92a2edec9c54a0d15b9713f589641f2ce18d9681feeec5238506c9"},"schema_version":"1.0","source":{"id":"hep-th/0508199","kind":"arxiv","version":3}},"canonical_sha256":"2528d065f2f7ab4443c0c70bcaf8fc7ef51f51b4742b211a0e7245083887a742","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2528d065f2f7ab4443c0c70bcaf8fc7ef51f51b4742b211a0e7245083887a742","first_computed_at":"2026-05-18T01:05:56.892044Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:56.892044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jTIj290EPAYGzYwd9MS47IWD022az3qBr3LombruJG1w/YrwSRrWYQy8hm/gl6rFlJa2hH7OLH5T7vbvocpcDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:56.892707Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0508199","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d00ac5de65c768d1c3159e02c92f86eb06bf96510fa3fb9eee98da0526b99a67","sha256:78c4f1cfccb942bf00c727295d13e78af18fd17610202cd25edd2506687c01e6"],"state_sha256":"eba5d5585440748c27acfcb4975893ee6c7060be1927ab4851e53fdd949c1f92"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R5lEJrBS/9XnogYkVC4Ljs4Sxa4UIhEuKam0FGKpuFlXbn4KDMo5VJKLAGO+cAKcQQjbkN5wKss2uMVmpFXWCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T12:04:05.535816Z","bundle_sha256":"6a87733e909aa5156558e0cfb1c44da96bca504f7d45befe6f54464eed0233ab"}}