{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:YASA4RWWY53HG2WNAUHFRQKN62","short_pith_number":"pith:YASA4RWW","canonical_record":{"source":{"id":"1803.06020","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-15T22:15:22Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"069565307c6cf19d74f6c9e661b4cae8b3599103bf934f7a6aaf5afc6ed2b3ab","abstract_canon_sha256":"b5298e8aa8af4f149700f8f10f671e65418b0f80864f48f1059563f6ed99e722"},"schema_version":"1.0"},"canonical_sha256":"c0240e46d6c776736acd050e58c14df68f999f5f92d282a9236eb9d28b981bc1","source":{"kind":"arxiv","id":"1803.06020","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.06020","created_at":"2026-05-18T00:20:51Z"},{"alias_kind":"arxiv_version","alias_value":"1803.06020v1","created_at":"2026-05-18T00:20:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.06020","created_at":"2026-05-18T00:20:51Z"},{"alias_kind":"pith_short_12","alias_value":"YASA4RWWY53H","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YASA4RWWY53HG2WN","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YASA4RWW","created_at":"2026-05-18T12:33:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:YASA4RWWY53HG2WNAUHFRQKN62","target":"record","payload":{"canonical_record":{"source":{"id":"1803.06020","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-15T22:15:22Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"069565307c6cf19d74f6c9e661b4cae8b3599103bf934f7a6aaf5afc6ed2b3ab","abstract_canon_sha256":"b5298e8aa8af4f149700f8f10f671e65418b0f80864f48f1059563f6ed99e722"},"schema_version":"1.0"},"canonical_sha256":"c0240e46d6c776736acd050e58c14df68f999f5f92d282a9236eb9d28b981bc1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:51.007486Z","signature_b64":"qqJJNivU8mJyof02llCpFqKZhRbzHsuZhs50RNKCX84QsQ/KJf39p5bzZvHAlCRPr8bbtjvIARC5/lQJNkGICg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0240e46d6c776736acd050e58c14df68f999f5f92d282a9236eb9d28b981bc1","last_reissued_at":"2026-05-18T00:20:51.006816Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:51.006816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.06020","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":"2026-05-18T00:20:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fN3KOO3iqQ5Y+pg9DOekfh3FfAQQC+LRmLC3pwlx8CGQtvzHgYa+0WECIGoNQhnfg7607q63N75dtQHNTh3iCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T01:45:10.430600Z"},"content_sha256":"73c6a05f8c156bcbde5e5f9222f3ca3a3e2ff2fccf3eefb7b674db63d8db567a","schema_version":"1.0","event_id":"sha256:73c6a05f8c156bcbde5e5f9222f3ca3a3e2ff2fccf3eefb7b674db63d8db567a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:YASA4RWWY53HG2WNAUHFRQKN62","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Field Theory on spherical space forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Daniela D'Ascanio","submitted_at":"2018-03-15T22:15:22Z","abstract_excerpt":"One of the fundamental questions in Quantum Field Theory regards the determination of a measure of the degrees of freedom of theories that is consistent with the Renormalization Group flow. The answer seems to be encoded in the C-theorems, that involve quantities which decrease with the Renormalization Group flow to the IR and are stationary at the fixed points, thus ordering the space of theories. In an originally different problem, inspired by the use of spherical space forms in cosmological models, we study the thermodynamic properties of a free theory at finite temperature defined on such "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.06020","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":""},"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":"2026-05-18T00:20:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ys48HZshyJnhsUtEVy3Z2VReZ40O0GR+UzBsASQBhkvTGuww0gt37sKO9s5uIEDEcRkEkd1b+Z9NBLYxGU+eBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T01:45:10.430955Z"},"content_sha256":"d11923e658374878c329a44c91bddac873c121247f8ba2628b76db0c11411699","schema_version":"1.0","event_id":"sha256:d11923e658374878c329a44c91bddac873c121247f8ba2628b76db0c11411699"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YASA4RWWY53HG2WNAUHFRQKN62/bundle.json","state_url":"https://pith.science/pith/YASA4RWWY53HG2WNAUHFRQKN62/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YASA4RWWY53HG2WNAUHFRQKN62/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":"2026-06-05T01:45:10Z","links":{"resolver":"https://pith.science/pith/YASA4RWWY53HG2WNAUHFRQKN62","bundle":"https://pith.science/pith/YASA4RWWY53HG2WNAUHFRQKN62/bundle.json","state":"https://pith.science/pith/YASA4RWWY53HG2WNAUHFRQKN62/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YASA4RWWY53HG2WNAUHFRQKN62/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:YASA4RWWY53HG2WNAUHFRQKN62","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":"b5298e8aa8af4f149700f8f10f671e65418b0f80864f48f1059563f6ed99e722","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-15T22:15:22Z","title_canon_sha256":"069565307c6cf19d74f6c9e661b4cae8b3599103bf934f7a6aaf5afc6ed2b3ab"},"schema_version":"1.0","source":{"id":"1803.06020","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.06020","created_at":"2026-05-18T00:20:51Z"},{"alias_kind":"arxiv_version","alias_value":"1803.06020v1","created_at":"2026-05-18T00:20:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.06020","created_at":"2026-05-18T00:20:51Z"},{"alias_kind":"pith_short_12","alias_value":"YASA4RWWY53H","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YASA4RWWY53HG2WN","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YASA4RWW","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:d11923e658374878c329a44c91bddac873c121247f8ba2628b76db0c11411699","target":"graph","created_at":"2026-05-18T00:20:51Z","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":"One of the fundamental questions in Quantum Field Theory regards the determination of a measure of the degrees of freedom of theories that is consistent with the Renormalization Group flow. The answer seems to be encoded in the C-theorems, that involve quantities which decrease with the Renormalization Group flow to the IR and are stationary at the fixed points, thus ordering the space of theories. In an originally different problem, inspired by the use of spherical space forms in cosmological models, we study the thermodynamic properties of a free theory at finite temperature defined on such ","authors_text":"Daniela D'Ascanio","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-15T22:15:22Z","title":"Quantum Field Theory on spherical space forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.06020","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":"sha256:73c6a05f8c156bcbde5e5f9222f3ca3a3e2ff2fccf3eefb7b674db63d8db567a","target":"record","created_at":"2026-05-18T00:20:51Z","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":"b5298e8aa8af4f149700f8f10f671e65418b0f80864f48f1059563f6ed99e722","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-15T22:15:22Z","title_canon_sha256":"069565307c6cf19d74f6c9e661b4cae8b3599103bf934f7a6aaf5afc6ed2b3ab"},"schema_version":"1.0","source":{"id":"1803.06020","kind":"arxiv","version":1}},"canonical_sha256":"c0240e46d6c776736acd050e58c14df68f999f5f92d282a9236eb9d28b981bc1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0240e46d6c776736acd050e58c14df68f999f5f92d282a9236eb9d28b981bc1","first_computed_at":"2026-05-18T00:20:51.006816Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:51.006816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qqJJNivU8mJyof02llCpFqKZhRbzHsuZhs50RNKCX84QsQ/KJf39p5bzZvHAlCRPr8bbtjvIARC5/lQJNkGICg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:51.007486Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.06020","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:73c6a05f8c156bcbde5e5f9222f3ca3a3e2ff2fccf3eefb7b674db63d8db567a","sha256:d11923e658374878c329a44c91bddac873c121247f8ba2628b76db0c11411699"],"state_sha256":"d5711d7c9c214d57a61557d34ee6b30d739e5e8c3ce111bea42d12a4a56e76c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tzY8TMhkkjZUmCGh6Cx7G6796lkE1MCJ8GbdYJ74enWVr6GD7xLD8Hc0Ni++CqnaTygTGpnGX4AGO/n+18a5Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T01:45:10.432948Z","bundle_sha256":"c9959f65169462bc042a585a483ae549217a88a5fd2743da54d5057a787f75c0"}}