{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:YBUXQ4QAMYQLNC7HS4VWQKCSFG","short_pith_number":"pith:YBUXQ4QA","canonical_record":{"source":{"id":"hep-th/0703153","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-03-16T13:28:10Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"e926d63ee915f9bdaf5d3c3e143ccf0fb211c59eb56b5607c01c10f38c218507","abstract_canon_sha256":"d35adc826d45e73b7b4b5b4005aa458fa56045525a2a58734bbc2ff540a92ff0"},"schema_version":"1.0"},"canonical_sha256":"c0697872006620b68be7972b68285229b1bc402c1dde63a49a69d60cfffd2855","source":{"kind":"arxiv","id":"hep-th/0703153","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0703153","created_at":"2026-05-18T04:38:37Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0703153v1","created_at":"2026-05-18T04:38:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0703153","created_at":"2026-05-18T04:38:37Z"},{"alias_kind":"pith_short_12","alias_value":"YBUXQ4QAMYQL","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"YBUXQ4QAMYQLNC7H","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"YBUXQ4QA","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:YBUXQ4QAMYQLNC7HS4VWQKCSFG","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0703153","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-03-16T13:28:10Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"e926d63ee915f9bdaf5d3c3e143ccf0fb211c59eb56b5607c01c10f38c218507","abstract_canon_sha256":"d35adc826d45e73b7b4b5b4005aa458fa56045525a2a58734bbc2ff540a92ff0"},"schema_version":"1.0"},"canonical_sha256":"c0697872006620b68be7972b68285229b1bc402c1dde63a49a69d60cfffd2855","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:37.774667Z","signature_b64":"Cqihr6PYz17sqm1eSlfgoWd1WbT600D7VnTm8Y84j2ADvpowbfqSWE/pHncQgcYfQeSNKRsSdM9LNYm31IyGDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0697872006620b68be7972b68285229b1bc402c1dde63a49a69d60cfffd2855","last_reissued_at":"2026-05-18T04:38:37.773864Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:37.773864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0703153","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":"2026-05-18T04:38:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"61FXJBq/l5B7ksAdgkGGOIwQ9AzqrX97Egotij3RsWNH/QCSIvuqCB/3fU/P6l1OGcpNsEHIf+CTWquhhzqxAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T21:26:30.924028Z"},"content_sha256":"657e70823315c33c57b1bc1c2b0d7c72470442520f32c942a54fd6cc59c12aef","schema_version":"1.0","event_id":"sha256:657e70823315c33c57b1bc1c2b0d7c72470442520f32c942a54fd6cc59c12aef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:YBUXQ4QAMYQLNC7HS4VWQKCSFG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The conformal anomaly of k-strings","license":"","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"Ferdinando Gliozzi, Pietro Giudice, Stefano Lottini","submitted_at":"2007-03-16T13:28:10Z","abstract_excerpt":"Simple scaling properties of correlation functions of a confining gauge theory in d-dimensions lead to the conclusion that k-string dynamics is described, in the infrared limit, by a two-dimensional conformal field theory with conformal anomaly c=(d-2)T_k/T_1, where T_k is the k-string tension. This result applies to any gauge theory with stable k-strings. We check it in a 3D Z_4 gauge model at finite temperature, where a string effect directly related to c can be clearly identified."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0703153","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":"2026-05-18T04:38:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ge5dD5HFjDlLtkR4cVNGvKfGLxtXhu7I3P5oPFJFrOFY23fuswWOUTu1ysLAJpNwFdJQwUsfm4Ddeo4JQPO3Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T21:26:30.924405Z"},"content_sha256":"aa8d4e3dad2b1038d9a50efdde1ae9caed5f3261583ba71ded729ae52a3479c7","schema_version":"1.0","event_id":"sha256:aa8d4e3dad2b1038d9a50efdde1ae9caed5f3261583ba71ded729ae52a3479c7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YBUXQ4QAMYQLNC7HS4VWQKCSFG/bundle.json","state_url":"https://pith.science/pith/YBUXQ4QAMYQLNC7HS4VWQKCSFG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YBUXQ4QAMYQLNC7HS4VWQKCSFG/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":"2026-06-05T21:26:30Z","links":{"resolver":"https://pith.science/pith/YBUXQ4QAMYQLNC7HS4VWQKCSFG","bundle":"https://pith.science/pith/YBUXQ4QAMYQLNC7HS4VWQKCSFG/bundle.json","state":"https://pith.science/pith/YBUXQ4QAMYQLNC7HS4VWQKCSFG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YBUXQ4QAMYQLNC7HS4VWQKCSFG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:YBUXQ4QAMYQLNC7HS4VWQKCSFG","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":"d35adc826d45e73b7b4b5b4005aa458fa56045525a2a58734bbc2ff540a92ff0","cross_cats_sorted":["hep-lat"],"license":"","primary_cat":"hep-th","submitted_at":"2007-03-16T13:28:10Z","title_canon_sha256":"e926d63ee915f9bdaf5d3c3e143ccf0fb211c59eb56b5607c01c10f38c218507"},"schema_version":"1.0","source":{"id":"hep-th/0703153","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0703153","created_at":"2026-05-18T04:38:37Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0703153v1","created_at":"2026-05-18T04:38:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0703153","created_at":"2026-05-18T04:38:37Z"},{"alias_kind":"pith_short_12","alias_value":"YBUXQ4QAMYQL","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"YBUXQ4QAMYQLNC7H","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"YBUXQ4QA","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:aa8d4e3dad2b1038d9a50efdde1ae9caed5f3261583ba71ded729ae52a3479c7","target":"graph","created_at":"2026-05-18T04:38:37Z","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":"Simple scaling properties of correlation functions of a confining gauge theory in d-dimensions lead to the conclusion that k-string dynamics is described, in the infrared limit, by a two-dimensional conformal field theory with conformal anomaly c=(d-2)T_k/T_1, where T_k is the k-string tension. This result applies to any gauge theory with stable k-strings. We check it in a 3D Z_4 gauge model at finite temperature, where a string effect directly related to c can be clearly identified.","authors_text":"Ferdinando Gliozzi, Pietro Giudice, Stefano Lottini","cross_cats":["hep-lat"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2007-03-16T13:28:10Z","title":"The conformal anomaly of k-strings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0703153","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":"sha256:657e70823315c33c57b1bc1c2b0d7c72470442520f32c942a54fd6cc59c12aef","target":"record","created_at":"2026-05-18T04:38:37Z","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":"d35adc826d45e73b7b4b5b4005aa458fa56045525a2a58734bbc2ff540a92ff0","cross_cats_sorted":["hep-lat"],"license":"","primary_cat":"hep-th","submitted_at":"2007-03-16T13:28:10Z","title_canon_sha256":"e926d63ee915f9bdaf5d3c3e143ccf0fb211c59eb56b5607c01c10f38c218507"},"schema_version":"1.0","source":{"id":"hep-th/0703153","kind":"arxiv","version":1}},"canonical_sha256":"c0697872006620b68be7972b68285229b1bc402c1dde63a49a69d60cfffd2855","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0697872006620b68be7972b68285229b1bc402c1dde63a49a69d60cfffd2855","first_computed_at":"2026-05-18T04:38:37.773864Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:37.773864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Cqihr6PYz17sqm1eSlfgoWd1WbT600D7VnTm8Y84j2ADvpowbfqSWE/pHncQgcYfQeSNKRsSdM9LNYm31IyGDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:37.774667Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0703153","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:657e70823315c33c57b1bc1c2b0d7c72470442520f32c942a54fd6cc59c12aef","sha256:aa8d4e3dad2b1038d9a50efdde1ae9caed5f3261583ba71ded729ae52a3479c7"],"state_sha256":"5d22f691b585655520847ad780dd0c12ea4a9ffb048a47a3d7e86850adbd2240"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MUUE4zInfhEJV9+85L+pD/QLFWqxuGBORVJL2qe/2mmCu19HZ2y56CZsmsiY94ziC4RXAwFOcAvOGECrajsmBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T21:26:30.927088Z","bundle_sha256":"0f6ce0c7b7c38f8d2806aa7873e06357d501d3c044101a3b667d51a32901a6fa"}}