{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:NJP5AQXWEMTUW6PB3JGHQOOXGJ","short_pith_number":"pith:NJP5AQXW","canonical_record":{"source":{"id":"1506.07698","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-06-25T10:55:36Z","cross_cats_sorted":[],"title_canon_sha256":"0f12c3a4eefee107d525701dc760879b83d054e0d13962858a07a5f8ae48fd24","abstract_canon_sha256":"e4ddd6dc418e2c05719730c72e3a6ca78a0ce2be46362bd722e01ea1e000f823"},"schema_version":"1.0"},"canonical_sha256":"6a5fd042f623274b79e1da4c7839d732672cdc380be7750b10a1a7f85ac5d1fb","source":{"kind":"arxiv","id":"1506.07698","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.07698","created_at":"2026-05-18T01:35:54Z"},{"alias_kind":"arxiv_version","alias_value":"1506.07698v3","created_at":"2026-05-18T01:35:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07698","created_at":"2026-05-18T01:35:54Z"},{"alias_kind":"pith_short_12","alias_value":"NJP5AQXWEMTU","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"NJP5AQXWEMTUW6PB","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"NJP5AQXW","created_at":"2026-05-18T12:29:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:NJP5AQXWEMTUW6PB3JGHQOOXGJ","target":"record","payload":{"canonical_record":{"source":{"id":"1506.07698","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-06-25T10:55:36Z","cross_cats_sorted":[],"title_canon_sha256":"0f12c3a4eefee107d525701dc760879b83d054e0d13962858a07a5f8ae48fd24","abstract_canon_sha256":"e4ddd6dc418e2c05719730c72e3a6ca78a0ce2be46362bd722e01ea1e000f823"},"schema_version":"1.0"},"canonical_sha256":"6a5fd042f623274b79e1da4c7839d732672cdc380be7750b10a1a7f85ac5d1fb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:54.147163Z","signature_b64":"7tID0GvtWa2NvceFZuywQMhYAD5M2nyJhfg2PDZbMhDaLWwj5UQBouXe1SkoE8VakzP8kyXXpi/GniBiad22Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a5fd042f623274b79e1da4c7839d732672cdc380be7750b10a1a7f85ac5d1fb","last_reissued_at":"2026-05-18T01:35:54.146579Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:54.146579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.07698","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":"2026-05-18T01:35:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iSwYWasCq1kYF69xbmrfp6LFS3ZxT6F0LSbIyXjBfWch0TIes5gTmW3u/VBSJI2uzotpKI10lPY6iANR5aQ+Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:05:01.186827Z"},"content_sha256":"025b0178f154db433f3f440cc8acc6c4eb326c972ffcc32b95cc0b676273af16","schema_version":"1.0","event_id":"sha256:025b0178f154db433f3f440cc8acc6c4eb326c972ffcc32b95cc0b676273af16"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:NJP5AQXWEMTUW6PB3JGHQOOXGJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Center clusters in full QCD at finite temperature and background magnetic field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Andreas Sch\\\"afer, Gergely Endr\\H{o}di, Jacob Wellnhofer","submitted_at":"2015-06-25T10:55:36Z","abstract_excerpt":"We study the center structure of full dynamical QCD at finite temperatures and nonzero values of the background magnetic field using continuum extrapolated lattice data. We concentrate on two particular observables characterizing center clusters: their fractality and the probability for percolation. For temperatures below and around the transition region, the fractal dimension is found to be significantly smaller than three, leading to a vanishing mean free path inside the cluster structure. This finding might be relevant for center symmetry-based models of heavy-ion collisions. In addition, t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07698","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":"2026-05-18T01:35:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bcp9KmpxoxhwcmfOWrpXPy6vesRcxYShakqmIzqFmhOVe7SJy850oCAk02Hr9AIqoDtoZlONo/mvsAhSG13tBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:05:01.187174Z"},"content_sha256":"88d2185d593686fc928021318120b13c270245245647999ff42197466bea9d8a","schema_version":"1.0","event_id":"sha256:88d2185d593686fc928021318120b13c270245245647999ff42197466bea9d8a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NJP5AQXWEMTUW6PB3JGHQOOXGJ/bundle.json","state_url":"https://pith.science/pith/NJP5AQXWEMTUW6PB3JGHQOOXGJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NJP5AQXWEMTUW6PB3JGHQOOXGJ/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":"2026-06-03T14:05:01Z","links":{"resolver":"https://pith.science/pith/NJP5AQXWEMTUW6PB3JGHQOOXGJ","bundle":"https://pith.science/pith/NJP5AQXWEMTUW6PB3JGHQOOXGJ/bundle.json","state":"https://pith.science/pith/NJP5AQXWEMTUW6PB3JGHQOOXGJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NJP5AQXWEMTUW6PB3JGHQOOXGJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NJP5AQXWEMTUW6PB3JGHQOOXGJ","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":"e4ddd6dc418e2c05719730c72e3a6ca78a0ce2be46362bd722e01ea1e000f823","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-06-25T10:55:36Z","title_canon_sha256":"0f12c3a4eefee107d525701dc760879b83d054e0d13962858a07a5f8ae48fd24"},"schema_version":"1.0","source":{"id":"1506.07698","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.07698","created_at":"2026-05-18T01:35:54Z"},{"alias_kind":"arxiv_version","alias_value":"1506.07698v3","created_at":"2026-05-18T01:35:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07698","created_at":"2026-05-18T01:35:54Z"},{"alias_kind":"pith_short_12","alias_value":"NJP5AQXWEMTU","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"NJP5AQXWEMTUW6PB","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"NJP5AQXW","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:88d2185d593686fc928021318120b13c270245245647999ff42197466bea9d8a","target":"graph","created_at":"2026-05-18T01:35:54Z","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 study the center structure of full dynamical QCD at finite temperatures and nonzero values of the background magnetic field using continuum extrapolated lattice data. We concentrate on two particular observables characterizing center clusters: their fractality and the probability for percolation. For temperatures below and around the transition region, the fractal dimension is found to be significantly smaller than three, leading to a vanishing mean free path inside the cluster structure. This finding might be relevant for center symmetry-based models of heavy-ion collisions. In addition, t","authors_text":"Andreas Sch\\\"afer, Gergely Endr\\H{o}di, Jacob Wellnhofer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-06-25T10:55:36Z","title":"Center clusters in full QCD at finite temperature and background magnetic field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07698","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":"sha256:025b0178f154db433f3f440cc8acc6c4eb326c972ffcc32b95cc0b676273af16","target":"record","created_at":"2026-05-18T01:35:54Z","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":"e4ddd6dc418e2c05719730c72e3a6ca78a0ce2be46362bd722e01ea1e000f823","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2015-06-25T10:55:36Z","title_canon_sha256":"0f12c3a4eefee107d525701dc760879b83d054e0d13962858a07a5f8ae48fd24"},"schema_version":"1.0","source":{"id":"1506.07698","kind":"arxiv","version":3}},"canonical_sha256":"6a5fd042f623274b79e1da4c7839d732672cdc380be7750b10a1a7f85ac5d1fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a5fd042f623274b79e1da4c7839d732672cdc380be7750b10a1a7f85ac5d1fb","first_computed_at":"2026-05-18T01:35:54.146579Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:54.146579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7tID0GvtWa2NvceFZuywQMhYAD5M2nyJhfg2PDZbMhDaLWwj5UQBouXe1SkoE8VakzP8kyXXpi/GniBiad22Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:54.147163Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.07698","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:025b0178f154db433f3f440cc8acc6c4eb326c972ffcc32b95cc0b676273af16","sha256:88d2185d593686fc928021318120b13c270245245647999ff42197466bea9d8a"],"state_sha256":"97fdb81788067e7e422cf6c1e2a4b61524105dc135374a736e77fbc67074fa31"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bIJp6lIF9hd8i6CzgFBsNu440TDlXQgOo1r/Hv0nca/1bKdWdADY8d0VogqbU80V/eNjQS2B2k2xoTLa+jdjCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T14:05:01.189160Z","bundle_sha256":"75b0ec94a816f7315d45ca444bb043010b5aa1032682a9fe4f9e79d21c049590"}}