{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:ZIFCFAD7YUSTVQY6PIVGS76YDG","short_pith_number":"pith:ZIFCFAD7","canonical_record":{"source":{"id":"hep-th/0703204","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-03-23T01:28:46Z","cross_cats_sorted":[],"title_canon_sha256":"281c21f0518d0f38b711230cb79d2260702b195a3a1863178237659ffcb1ef6c","abstract_canon_sha256":"5b0307077d6d245091d76b5341594e85ddef13635edb2120bda132eb99d4ea05"},"schema_version":"1.0"},"canonical_sha256":"ca0a22807fc5253ac31e7a2a697fd8198c38ec2f268a4fc6385510b2571220d6","source":{"kind":"arxiv","id":"hep-th/0703204","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0703204","created_at":"2026-07-04T15:00:22Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0703204v1","created_at":"2026-07-04T15:00:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0703204","created_at":"2026-07-04T15:00:22Z"},{"alias_kind":"pith_short_12","alias_value":"ZIFCFAD7YUST","created_at":"2026-07-04T15:00:22Z"},{"alias_kind":"pith_short_16","alias_value":"ZIFCFAD7YUSTVQY6","created_at":"2026-07-04T15:00:22Z"},{"alias_kind":"pith_short_8","alias_value":"ZIFCFAD7","created_at":"2026-07-04T15:00:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:ZIFCFAD7YUSTVQY6PIVGS76YDG","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0703204","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-03-23T01:28:46Z","cross_cats_sorted":[],"title_canon_sha256":"281c21f0518d0f38b711230cb79d2260702b195a3a1863178237659ffcb1ef6c","abstract_canon_sha256":"5b0307077d6d245091d76b5341594e85ddef13635edb2120bda132eb99d4ea05"},"schema_version":"1.0"},"canonical_sha256":"ca0a22807fc5253ac31e7a2a697fd8198c38ec2f268a4fc6385510b2571220d6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:00:22.648913Z","signature_b64":"z5xm5lwYTilfer+RDml82iNbdAx5PkPAS3jCOeSQQ7fU4KGTcZRlrLshInXuzR/hCz2iQIcqqN4MxvlyqUs/Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca0a22807fc5253ac31e7a2a697fd8198c38ec2f268a4fc6385510b2571220d6","last_reissued_at":"2026-07-04T15:00:22.648469Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:00:22.648469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0703204","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":"2026-07-04T15:00:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1x4Z2H3jF9b1x+lJX0q0vAx4KB6BIWhRdHORmVPBR+MNfq8PQ+PW05ZrGq4ZCnsEhbpamVB/yjYrhLE+rtuoBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T05:40:14.909383Z"},"content_sha256":"f816701fcce8e7a79bf15a8d26a7aa72f813307ac327c1d328faf67d199e03c2","schema_version":"1.0","event_id":"sha256:f816701fcce8e7a79bf15a8d26a7aa72f813307ac327c1d328faf67d199e03c2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:ZIFCFAD7YUSTVQY6PIVGS76YDG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A new path integral representation for the thermal partition function","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. P. C. Malbouisson, C. D. Fosco, I. Roditi","submitted_at":"2007-03-23T01:28:46Z","abstract_excerpt":"The boundary conditions corresponding to the Matsubara formalism for the $T > 0$ partition function may be introduced as {\\em constraints} in the path integral for the vacuum amplitude. We implement those constraints with time-independent Lagrange multipliers and, by integrating out the original fields, we obtain an alternative representation for the partition function, in terms of the Lagrange multipliers as dynamical fields. The resulting functional integral has the appealing property of involving only $d$-dimensional, {\\em time independent} fields, and looks like a nonlocal version of the c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0703204","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-th/0703204/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":"2026-07-04T15:00:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UG7PL2HtyWTGxKpbwgUHttcpPao+lFcpMomkOwbCfEUSFS3CGjILvI2mfnXrrMtxDB+GNtOtjreZNcXYDzxtAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T05:40:14.909748Z"},"content_sha256":"8e9fefad082e5bf4fbe681272fd216f9001078c65f3548382105724530e11f8e","schema_version":"1.0","event_id":"sha256:8e9fefad082e5bf4fbe681272fd216f9001078c65f3548382105724530e11f8e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZIFCFAD7YUSTVQY6PIVGS76YDG/bundle.json","state_url":"https://pith.science/pith/ZIFCFAD7YUSTVQY6PIVGS76YDG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZIFCFAD7YUSTVQY6PIVGS76YDG/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":"2026-07-05T05:40:14Z","links":{"resolver":"https://pith.science/pith/ZIFCFAD7YUSTVQY6PIVGS76YDG","bundle":"https://pith.science/pith/ZIFCFAD7YUSTVQY6PIVGS76YDG/bundle.json","state":"https://pith.science/pith/ZIFCFAD7YUSTVQY6PIVGS76YDG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZIFCFAD7YUSTVQY6PIVGS76YDG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:ZIFCFAD7YUSTVQY6PIVGS76YDG","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":"5b0307077d6d245091d76b5341594e85ddef13635edb2120bda132eb99d4ea05","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2007-03-23T01:28:46Z","title_canon_sha256":"281c21f0518d0f38b711230cb79d2260702b195a3a1863178237659ffcb1ef6c"},"schema_version":"1.0","source":{"id":"hep-th/0703204","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0703204","created_at":"2026-07-04T15:00:22Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0703204v1","created_at":"2026-07-04T15:00:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0703204","created_at":"2026-07-04T15:00:22Z"},{"alias_kind":"pith_short_12","alias_value":"ZIFCFAD7YUST","created_at":"2026-07-04T15:00:22Z"},{"alias_kind":"pith_short_16","alias_value":"ZIFCFAD7YUSTVQY6","created_at":"2026-07-04T15:00:22Z"},{"alias_kind":"pith_short_8","alias_value":"ZIFCFAD7","created_at":"2026-07-04T15:00:22Z"}],"graph_snapshots":[{"event_id":"sha256:8e9fefad082e5bf4fbe681272fd216f9001078c65f3548382105724530e11f8e","target":"graph","created_at":"2026-07-04T15:00:22Z","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-th/0703204/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The boundary conditions corresponding to the Matsubara formalism for the $T > 0$ partition function may be introduced as {\\em constraints} in the path integral for the vacuum amplitude. We implement those constraints with time-independent Lagrange multipliers and, by integrating out the original fields, we obtain an alternative representation for the partition function, in terms of the Lagrange multipliers as dynamical fields. The resulting functional integral has the appealing property of involving only $d$-dimensional, {\\em time independent} fields, and looks like a nonlocal version of the c","authors_text":"A. P. C. Malbouisson, C. D. Fosco, I. Roditi","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2007-03-23T01:28:46Z","title":"A new path integral representation for the thermal partition function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0703204","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:f816701fcce8e7a79bf15a8d26a7aa72f813307ac327c1d328faf67d199e03c2","target":"record","created_at":"2026-07-04T15:00:22Z","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":"5b0307077d6d245091d76b5341594e85ddef13635edb2120bda132eb99d4ea05","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2007-03-23T01:28:46Z","title_canon_sha256":"281c21f0518d0f38b711230cb79d2260702b195a3a1863178237659ffcb1ef6c"},"schema_version":"1.0","source":{"id":"hep-th/0703204","kind":"arxiv","version":1}},"canonical_sha256":"ca0a22807fc5253ac31e7a2a697fd8198c38ec2f268a4fc6385510b2571220d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca0a22807fc5253ac31e7a2a697fd8198c38ec2f268a4fc6385510b2571220d6","first_computed_at":"2026-07-04T15:00:22.648469Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:00:22.648469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z5xm5lwYTilfer+RDml82iNbdAx5PkPAS3jCOeSQQ7fU4KGTcZRlrLshInXuzR/hCz2iQIcqqN4MxvlyqUs/Bg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:00:22.648913Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0703204","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f816701fcce8e7a79bf15a8d26a7aa72f813307ac327c1d328faf67d199e03c2","sha256:8e9fefad082e5bf4fbe681272fd216f9001078c65f3548382105724530e11f8e"],"state_sha256":"ba969681bced4eaf83d54bea275c0642f1555b27ea68b9770b860ecaa7c0c4e0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yghDjtGJnKdQ4qAL3v14Ny7BIWDo0faVecESkzRY0PGp+CwlsVHkm8Z3k3eKyBp2QIN+TNnvZ14CtayKJVANDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T05:40:14.911654Z","bundle_sha256":"1bc7014e259d6762adc803073fe041b495239e6b04c940d4fef6323a67520386"}}