{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:QTXWSBJIZDITWI5J4TOJSS7Z46","short_pith_number":"pith:QTXWSBJI","canonical_record":{"source":{"id":"1406.6602","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-25T15:11:46Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"97da367714ff363690b0bde21d68b363cc78df218d9479d259f4a163b7844b7e","abstract_canon_sha256":"eb0defa2dac324ae9816d255f6edf6113b5e17005cdea69f4df4a25bca5b7261"},"schema_version":"1.0"},"canonical_sha256":"84ef690528c8d13b23a9e4dc994bf9e78f5ae58be5c9a5df4a805cbdcfbb4f93","source":{"kind":"arxiv","id":"1406.6602","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.6602","created_at":"2026-05-18T02:29:10Z"},{"alias_kind":"arxiv_version","alias_value":"1406.6602v3","created_at":"2026-05-18T02:29:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.6602","created_at":"2026-05-18T02:29:10Z"},{"alias_kind":"pith_short_12","alias_value":"QTXWSBJIZDIT","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QTXWSBJIZDITWI5J","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QTXWSBJI","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:QTXWSBJIZDITWI5J4TOJSS7Z46","target":"record","payload":{"canonical_record":{"source":{"id":"1406.6602","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-25T15:11:46Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"97da367714ff363690b0bde21d68b363cc78df218d9479d259f4a163b7844b7e","abstract_canon_sha256":"eb0defa2dac324ae9816d255f6edf6113b5e17005cdea69f4df4a25bca5b7261"},"schema_version":"1.0"},"canonical_sha256":"84ef690528c8d13b23a9e4dc994bf9e78f5ae58be5c9a5df4a805cbdcfbb4f93","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:10.911819Z","signature_b64":"DDGoAIsUgt9L2gZDVPiY8fEtQZvSpwJ9KlUDCeLLknnLLWQZ1vCUN9IAeXjuxtNmZQEhrKCjzOhN4euqyjkUCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84ef690528c8d13b23a9e4dc994bf9e78f5ae58be5c9a5df4a805cbdcfbb4f93","last_reissued_at":"2026-05-18T02:29:10.911100Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:10.911100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.6602","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":"2026-05-18T02:29:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rr7kkumBShwXEJPpYcB9mtQQYRtrOdNiSueP3iKC2b5VlWXwkZu1a+gpRj7zq6KmGZrMIbKbJlRixn8atUj5CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-18T20:27:35.483785Z"},"content_sha256":"332e58b5cbb88a87fdb32db009b3cdb7462c200a55b0a1a10ab6dcdaeef559e8","schema_version":"1.0","event_id":"sha256:332e58b5cbb88a87fdb32db009b3cdb7462c200a55b0a1a10ab6dcdaeef559e8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:QTXWSBJIZDITWI5J4TOJSS7Z46","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological Entropy and Renormalization Group flow in 3-dimensional spherical spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"hep-th","authors_text":"C. G. Beneventano, D. D'Ascanio, E. M. Santangelo, I. Cavero-Pel\\'aez, M. Asorey","submitted_at":"2014-06-25T15:11:46Z","abstract_excerpt":"We analyze the renormalization group (RG) flow of the temperature independent term of the entropy in the high temperature limit \\beta/a<<1 of a massive field theory in 3-dimensional spherical spaces M_3 with constant curvature 6/a^2. For masses lower than 2\\pi/\\beta, this term can be identified with the free energy of the same theory on M_3 considered as a 3-dimensional Euclidean space-time. The non-extensive part of this free energy, S_hol, is generated by the holonomy of the spatial metric connection. We show that for homogeneous spherical spaces the holonomy entropy S_hol decreases monotoni"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.6602","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":"2026-05-18T02:29:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4NK+NLpfYev0N8/Sk5VU77W/jqAuZAct3gIYQNaA2Ivlw5BhPX6E+xW9ss8aJdvGW9OyUW9YzxO0NPH5DNJDAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-18T20:27:35.484411Z"},"content_sha256":"76d3d05d364509691b08d388c99f726b87b30e788281c19893e3a72ea52eca81","schema_version":"1.0","event_id":"sha256:76d3d05d364509691b08d388c99f726b87b30e788281c19893e3a72ea52eca81"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QTXWSBJIZDITWI5J4TOJSS7Z46/bundle.json","state_url":"https://pith.science/pith/QTXWSBJIZDITWI5J4TOJSS7Z46/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QTXWSBJIZDITWI5J4TOJSS7Z46/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":"2026-05-18T20:27:35Z","links":{"resolver":"https://pith.science/pith/QTXWSBJIZDITWI5J4TOJSS7Z46","bundle":"https://pith.science/pith/QTXWSBJIZDITWI5J4TOJSS7Z46/bundle.json","state":"https://pith.science/pith/QTXWSBJIZDITWI5J4TOJSS7Z46/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QTXWSBJIZDITWI5J4TOJSS7Z46/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QTXWSBJIZDITWI5J4TOJSS7Z46","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":"eb0defa2dac324ae9816d255f6edf6113b5e17005cdea69f4df4a25bca5b7261","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-25T15:11:46Z","title_canon_sha256":"97da367714ff363690b0bde21d68b363cc78df218d9479d259f4a163b7844b7e"},"schema_version":"1.0","source":{"id":"1406.6602","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.6602","created_at":"2026-05-18T02:29:10Z"},{"alias_kind":"arxiv_version","alias_value":"1406.6602v3","created_at":"2026-05-18T02:29:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.6602","created_at":"2026-05-18T02:29:10Z"},{"alias_kind":"pith_short_12","alias_value":"QTXWSBJIZDIT","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QTXWSBJIZDITWI5J","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QTXWSBJI","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:76d3d05d364509691b08d388c99f726b87b30e788281c19893e3a72ea52eca81","target":"graph","created_at":"2026-05-18T02:29:10Z","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 analyze the renormalization group (RG) flow of the temperature independent term of the entropy in the high temperature limit \\beta/a<<1 of a massive field theory in 3-dimensional spherical spaces M_3 with constant curvature 6/a^2. For masses lower than 2\\pi/\\beta, this term can be identified with the free energy of the same theory on M_3 considered as a 3-dimensional Euclidean space-time. The non-extensive part of this free energy, S_hol, is generated by the holonomy of the spatial metric connection. We show that for homogeneous spherical spaces the holonomy entropy S_hol decreases monotoni","authors_text":"C. G. Beneventano, D. D'Ascanio, E. M. Santangelo, I. Cavero-Pel\\'aez, M. Asorey","cross_cats":["cond-mat.stat-mech","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-25T15:11:46Z","title":"Topological Entropy and Renormalization Group flow in 3-dimensional spherical spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.6602","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":"sha256:332e58b5cbb88a87fdb32db009b3cdb7462c200a55b0a1a10ab6dcdaeef559e8","target":"record","created_at":"2026-05-18T02:29:10Z","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":"eb0defa2dac324ae9816d255f6edf6113b5e17005cdea69f4df4a25bca5b7261","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-25T15:11:46Z","title_canon_sha256":"97da367714ff363690b0bde21d68b363cc78df218d9479d259f4a163b7844b7e"},"schema_version":"1.0","source":{"id":"1406.6602","kind":"arxiv","version":3}},"canonical_sha256":"84ef690528c8d13b23a9e4dc994bf9e78f5ae58be5c9a5df4a805cbdcfbb4f93","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84ef690528c8d13b23a9e4dc994bf9e78f5ae58be5c9a5df4a805cbdcfbb4f93","first_computed_at":"2026-05-18T02:29:10.911100Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:10.911100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DDGoAIsUgt9L2gZDVPiY8fEtQZvSpwJ9KlUDCeLLknnLLWQZ1vCUN9IAeXjuxtNmZQEhrKCjzOhN4euqyjkUCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:10.911819Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.6602","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:332e58b5cbb88a87fdb32db009b3cdb7462c200a55b0a1a10ab6dcdaeef559e8","sha256:76d3d05d364509691b08d388c99f726b87b30e788281c19893e3a72ea52eca81"],"state_sha256":"cd0938bd06b58db7ed0532a0c9bc8ed4ed671d1923d1731fd2d91eb77a2804f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nh+L8WX8tPTIDhz0y9CnTWR+d7LBBU6txQa0yyEWw69ABqn1qfTpiSlgKZ8S4HmEQmTAnqA1r6tQd9XHADuPCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-18T20:27:35.486003Z","bundle_sha256":"074289a2e8fed6f876a25513737b0e600c6c9e44568477b6ee4c970932b2c018"}}