{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:5XD4XHOSNFNIHC6TW7G5BTULQY","short_pith_number":"pith:5XD4XHOS","canonical_record":{"source":{"id":"1203.6267","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-28T13:40:50Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"39408a61e1036e7905070b4a66c03c9cecc9b3274d0618cf28cf742f838554c3","abstract_canon_sha256":"daecc2047a5a3e0b31c831a2568c5c07892aea38cd4c22b9241448eafdcaeaf6"},"schema_version":"1.0"},"canonical_sha256":"edc7cb9dd2695a838bd3b7cdd0ce8b8606f11b51a8f212c072b09c72143feaa1","source":{"kind":"arxiv","id":"1203.6267","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.6267","created_at":"2026-05-18T03:53:43Z"},{"alias_kind":"arxiv_version","alias_value":"1203.6267v2","created_at":"2026-05-18T03:53:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.6267","created_at":"2026-05-18T03:53:43Z"},{"alias_kind":"pith_short_12","alias_value":"5XD4XHOSNFNI","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"5XD4XHOSNFNIHC6T","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"5XD4XHOS","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:5XD4XHOSNFNIHC6TW7G5BTULQY","target":"record","payload":{"canonical_record":{"source":{"id":"1203.6267","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-28T13:40:50Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"39408a61e1036e7905070b4a66c03c9cecc9b3274d0618cf28cf742f838554c3","abstract_canon_sha256":"daecc2047a5a3e0b31c831a2568c5c07892aea38cd4c22b9241448eafdcaeaf6"},"schema_version":"1.0"},"canonical_sha256":"edc7cb9dd2695a838bd3b7cdd0ce8b8606f11b51a8f212c072b09c72143feaa1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:53:43.559928Z","signature_b64":"8e6TFWk5Sti0LpHurxAeYL07IPUDiIPXeQdTcWC1uLZ/VQ/U1fFKA001FeG9bvsV5l5jJ4+fw4UZ5PIqu/GQDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"edc7cb9dd2695a838bd3b7cdd0ce8b8606f11b51a8f212c072b09c72143feaa1","last_reissued_at":"2026-05-18T03:53:43.559451Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:53:43.559451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.6267","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":"2026-05-18T03:53:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MhKHuJZfoFrQCfE2RZEnOxFoapvuvqekFq16I3Ccvyk5m/DaWIE/aaBXWqIMmcf51yI1lBQ5CdUpKjSHajZ5CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T10:45:16.863945Z"},"content_sha256":"afda8e2058c3bf561ab38642ba7e80917daacbe4d7687607fd785325a77af8b1","schema_version":"1.0","event_id":"sha256:afda8e2058c3bf561ab38642ba7e80917daacbe4d7687607fd785325a77af8b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:5XD4XHOSNFNIHC6TW7G5BTULQY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalization: the observable-state model Part II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Juan Sebasti\\'an Ardenghi, Mario Castagnino","submitted_at":"2012-03-28T13:40:50Z","abstract_excerpt":"The purpose of this work is to rewrite the generating functional of phi^4 theory for the n = 0 and n = 4 correlation functions as the inner product of a state with an observable, as we did in [J. S. Ardenghi, M. Castagnino, Phys. Rev. D, 85, 025002, (2012)] for the two-points correlation function. The observables are defined through the external sources and the states are defined through the correlation function itself. In this sense, the divergences of Quantum Field Theory (QFT) appear in the reduced state by taking the partial trace of the state with respect to the internal vertices that app"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.6267","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":"2026-05-18T03:53:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7vSrKUOuu8+gNv/a2R+QkgiHOQaCeGBnHvXDUTMoIdMiJi0wfaGWHl315ztPPSjzgMuB7jyRiu2WfUm26FaNAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T10:45:16.864294Z"},"content_sha256":"0aa6021088eb4cd5e99a2cd941e44918a748dcc73308e88456c9a2654bb29746","schema_version":"1.0","event_id":"sha256:0aa6021088eb4cd5e99a2cd941e44918a748dcc73308e88456c9a2654bb29746"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5XD4XHOSNFNIHC6TW7G5BTULQY/bundle.json","state_url":"https://pith.science/pith/5XD4XHOSNFNIHC6TW7G5BTULQY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5XD4XHOSNFNIHC6TW7G5BTULQY/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":"2026-07-03T10:45:16Z","links":{"resolver":"https://pith.science/pith/5XD4XHOSNFNIHC6TW7G5BTULQY","bundle":"https://pith.science/pith/5XD4XHOSNFNIHC6TW7G5BTULQY/bundle.json","state":"https://pith.science/pith/5XD4XHOSNFNIHC6TW7G5BTULQY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5XD4XHOSNFNIHC6TW7G5BTULQY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:5XD4XHOSNFNIHC6TW7G5BTULQY","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":"daecc2047a5a3e0b31c831a2568c5c07892aea38cd4c22b9241448eafdcaeaf6","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-28T13:40:50Z","title_canon_sha256":"39408a61e1036e7905070b4a66c03c9cecc9b3274d0618cf28cf742f838554c3"},"schema_version":"1.0","source":{"id":"1203.6267","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.6267","created_at":"2026-05-18T03:53:43Z"},{"alias_kind":"arxiv_version","alias_value":"1203.6267v2","created_at":"2026-05-18T03:53:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.6267","created_at":"2026-05-18T03:53:43Z"},{"alias_kind":"pith_short_12","alias_value":"5XD4XHOSNFNI","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"5XD4XHOSNFNIHC6T","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"5XD4XHOS","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:0aa6021088eb4cd5e99a2cd941e44918a748dcc73308e88456c9a2654bb29746","target":"graph","created_at":"2026-05-18T03:53:43Z","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":"The purpose of this work is to rewrite the generating functional of phi^4 theory for the n = 0 and n = 4 correlation functions as the inner product of a state with an observable, as we did in [J. S. Ardenghi, M. Castagnino, Phys. Rev. D, 85, 025002, (2012)] for the two-points correlation function. The observables are defined through the external sources and the states are defined through the correlation function itself. In this sense, the divergences of Quantum Field Theory (QFT) appear in the reduced state by taking the partial trace of the state with respect to the internal vertices that app","authors_text":"Juan Sebasti\\'an Ardenghi, Mario Castagnino","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-28T13:40:50Z","title":"Renormalization: the observable-state model Part II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.6267","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:afda8e2058c3bf561ab38642ba7e80917daacbe4d7687607fd785325a77af8b1","target":"record","created_at":"2026-05-18T03:53:43Z","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":"daecc2047a5a3e0b31c831a2568c5c07892aea38cd4c22b9241448eafdcaeaf6","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-28T13:40:50Z","title_canon_sha256":"39408a61e1036e7905070b4a66c03c9cecc9b3274d0618cf28cf742f838554c3"},"schema_version":"1.0","source":{"id":"1203.6267","kind":"arxiv","version":2}},"canonical_sha256":"edc7cb9dd2695a838bd3b7cdd0ce8b8606f11b51a8f212c072b09c72143feaa1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"edc7cb9dd2695a838bd3b7cdd0ce8b8606f11b51a8f212c072b09c72143feaa1","first_computed_at":"2026-05-18T03:53:43.559451Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:53:43.559451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8e6TFWk5Sti0LpHurxAeYL07IPUDiIPXeQdTcWC1uLZ/VQ/U1fFKA001FeG9bvsV5l5jJ4+fw4UZ5PIqu/GQDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:53:43.559928Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.6267","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:afda8e2058c3bf561ab38642ba7e80917daacbe4d7687607fd785325a77af8b1","sha256:0aa6021088eb4cd5e99a2cd941e44918a748dcc73308e88456c9a2654bb29746"],"state_sha256":"70bd5639018baeee608918cdec75b694a3f5538ddfb56a6e81406de07790e7ca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iHSmK2FL3QsoRBVAklD+kPjQ5/zxKeoFDKF9oF92+xudm7tNSTInetPqW7iBB49bNwxtK7o/OBQF2GgLzQQTAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T10:45:16.866262Z","bundle_sha256":"6491d9ee8d189bdaf3ae9ce867342ce6de50591db1963ab36ba3a8aaef613780"}}