{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:66NXR7M5Y6A3OUOQDSJ3DUMA4V","short_pith_number":"pith:66NXR7M5","canonical_record":{"source":{"id":"hep-ph/0401045","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2004-01-09T03:41:48Z","cross_cats_sorted":[],"title_canon_sha256":"e63d17fb00f4902510fc0254854475a917e92285836bf981728d637cd8e6cc72","abstract_canon_sha256":"f6e8705441383cdfb6a28a45eca1b60c0ef5548e2a194c199c1d72ef92b25eae"},"schema_version":"1.0"},"canonical_sha256":"f79b78fd9dc781b751d01c93b1d180e5662db4dd0febf531dca541d23046755e","source":{"kind":"arxiv","id":"hep-ph/0401045","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0401045","created_at":"2026-07-04T16:48:04Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0401045v1","created_at":"2026-07-04T16:48:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0401045","created_at":"2026-07-04T16:48:04Z"},{"alias_kind":"pith_short_12","alias_value":"66NXR7M5Y6A3","created_at":"2026-07-04T16:48:04Z"},{"alias_kind":"pith_short_16","alias_value":"66NXR7M5Y6A3OUOQ","created_at":"2026-07-04T16:48:04Z"},{"alias_kind":"pith_short_8","alias_value":"66NXR7M5","created_at":"2026-07-04T16:48:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:66NXR7M5Y6A3OUOQDSJ3DUMA4V","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0401045","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2004-01-09T03:41:48Z","cross_cats_sorted":[],"title_canon_sha256":"e63d17fb00f4902510fc0254854475a917e92285836bf981728d637cd8e6cc72","abstract_canon_sha256":"f6e8705441383cdfb6a28a45eca1b60c0ef5548e2a194c199c1d72ef92b25eae"},"schema_version":"1.0"},"canonical_sha256":"f79b78fd9dc781b751d01c93b1d180e5662db4dd0febf531dca541d23046755e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:48:04.702659Z","signature_b64":"048r+gsUcGjksA8cb+wc9zjEdcw9LHo0sJTDDKQsh/qJE6eZ+E/aCYwJh2z6JiBakh+82oGJIJXfLPW72xRpAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f79b78fd9dc781b751d01c93b1d180e5662db4dd0febf531dca541d23046755e","last_reissued_at":"2026-07-04T16:48:04.702272Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:48:04.702272Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0401045","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":"2026-07-04T16:48:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VwLdp/KNgqGSpkQISQtsdcPwGiyFrKIYrYlCTGFi+oVxqf6JsBjGmU05JhE1/eV7rvV5rk9Z67G6LMjYWLExBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T16:43:14.122610Z"},"content_sha256":"3d2644462dfdd31db4b58c55e1fb09ebc89540082f02dff901cf30aad4cb7155","schema_version":"1.0","event_id":"sha256:3d2644462dfdd31db4b58c55e1fb09ebc89540082f02dff901cf30aad4cb7155"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:66NXR7M5Y6A3OUOQDSJ3DUMA4V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The effect of memory on relaxation in a scalar field theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Takashi Ikeda","submitted_at":"2004-01-09T03:41:48Z","abstract_excerpt":"We derive a kinetic equation with a non-Markovian collision term which includes a memory effect, from Kadanoff-Baym equations in $\\phi^4$ theory within the three-loop level for the two-particle irreducible (2PI) effective action. The memory effect is incorporated into the kinetic equation by a generalized Kadanoff-Baym ansatz.Based on the kinetic equations with and without the memory effect, we investigate an influence of this effect on decay of a single particle excitation with zero momentum in 3+1 dimensions and the spatially homogeneous case. Numerical results show that, while the time evol"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0401045","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/0401045/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:48:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V0G8u3G577CMV2+owm7fCTYwIoRsl4dsqM7oYygJ5ZdSPrsu97WZ1u2SMtrE2KDj9r7CzDIHbyr1+lEU23cRCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T16:43:14.123088Z"},"content_sha256":"4fb18257f72b7013a9585455383c135333a105d15effe21269e8bb98f0d9eff4","schema_version":"1.0","event_id":"sha256:4fb18257f72b7013a9585455383c135333a105d15effe21269e8bb98f0d9eff4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/66NXR7M5Y6A3OUOQDSJ3DUMA4V/bundle.json","state_url":"https://pith.science/pith/66NXR7M5Y6A3OUOQDSJ3DUMA4V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/66NXR7M5Y6A3OUOQDSJ3DUMA4V/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":"2026-08-03T16:43:14Z","links":{"resolver":"https://pith.science/pith/66NXR7M5Y6A3OUOQDSJ3DUMA4V","bundle":"https://pith.science/pith/66NXR7M5Y6A3OUOQDSJ3DUMA4V/bundle.json","state":"https://pith.science/pith/66NXR7M5Y6A3OUOQDSJ3DUMA4V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/66NXR7M5Y6A3OUOQDSJ3DUMA4V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:66NXR7M5Y6A3OUOQDSJ3DUMA4V","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":"f6e8705441383cdfb6a28a45eca1b60c0ef5548e2a194c199c1d72ef92b25eae","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2004-01-09T03:41:48Z","title_canon_sha256":"e63d17fb00f4902510fc0254854475a917e92285836bf981728d637cd8e6cc72"},"schema_version":"1.0","source":{"id":"hep-ph/0401045","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0401045","created_at":"2026-07-04T16:48:04Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0401045v1","created_at":"2026-07-04T16:48:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0401045","created_at":"2026-07-04T16:48:04Z"},{"alias_kind":"pith_short_12","alias_value":"66NXR7M5Y6A3","created_at":"2026-07-04T16:48:04Z"},{"alias_kind":"pith_short_16","alias_value":"66NXR7M5Y6A3OUOQ","created_at":"2026-07-04T16:48:04Z"},{"alias_kind":"pith_short_8","alias_value":"66NXR7M5","created_at":"2026-07-04T16:48:04Z"}],"graph_snapshots":[{"event_id":"sha256:4fb18257f72b7013a9585455383c135333a105d15effe21269e8bb98f0d9eff4","target":"graph","created_at":"2026-07-04T16:48:04Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-ph/0401045/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive a kinetic equation with a non-Markovian collision term which includes a memory effect, from Kadanoff-Baym equations in $\\phi^4$ theory within the three-loop level for the two-particle irreducible (2PI) effective action. The memory effect is incorporated into the kinetic equation by a generalized Kadanoff-Baym ansatz.Based on the kinetic equations with and without the memory effect, we investigate an influence of this effect on decay of a single particle excitation with zero momentum in 3+1 dimensions and the spatially homogeneous case. Numerical results show that, while the time evol","authors_text":"Takashi Ikeda","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2004-01-09T03:41:48Z","title":"The effect of memory on relaxation in a scalar field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0401045","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":"sha256:3d2644462dfdd31db4b58c55e1fb09ebc89540082f02dff901cf30aad4cb7155","target":"record","created_at":"2026-07-04T16:48:04Z","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":"f6e8705441383cdfb6a28a45eca1b60c0ef5548e2a194c199c1d72ef92b25eae","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2004-01-09T03:41:48Z","title_canon_sha256":"e63d17fb00f4902510fc0254854475a917e92285836bf981728d637cd8e6cc72"},"schema_version":"1.0","source":{"id":"hep-ph/0401045","kind":"arxiv","version":1}},"canonical_sha256":"f79b78fd9dc781b751d01c93b1d180e5662db4dd0febf531dca541d23046755e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f79b78fd9dc781b751d01c93b1d180e5662db4dd0febf531dca541d23046755e","first_computed_at":"2026-07-04T16:48:04.702272Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:48:04.702272Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"048r+gsUcGjksA8cb+wc9zjEdcw9LHo0sJTDDKQsh/qJE6eZ+E/aCYwJh2z6JiBakh+82oGJIJXfLPW72xRpAw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:48:04.702659Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0401045","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d2644462dfdd31db4b58c55e1fb09ebc89540082f02dff901cf30aad4cb7155","sha256:4fb18257f72b7013a9585455383c135333a105d15effe21269e8bb98f0d9eff4"],"state_sha256":"34d5c2679abbd01f371f587b010d0688048990b7502c30f8d788a56985bda2c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n9n5mWZ1zRee+fOBbli4xXBLkxLoyaDzkjjdaZY4xbaI88zRQ74rLiPebtqLu9GFefa/g4Mfg6rrili0EjbVBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T16:43:14.126366Z","bundle_sha256":"87b64ffdfd86874128d1e573b6e56add6cbf9ded2875966d2c1966ae0c0e7369"}}