{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:K7UOCRCCHJKAPE5PWNI3EKILEN","short_pith_number":"pith:K7UOCRCC","canonical_record":{"source":{"id":"1812.04279","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2018-12-11T09:14:45Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"e2ee09c78098d33e11a79c057ad2af19c973f224693244202704514dfc5154ae","abstract_canon_sha256":"6ae238c3ca6aa854f0674613765433300247fddc4ed3be0b5d8c98fe1077cc99"},"schema_version":"1.0"},"canonical_sha256":"57e8e144423a540793afb351b2290b234c2e259ecd1c5f767157a041d39125be","source":{"kind":"arxiv","id":"1812.04279","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.04279","created_at":"2026-07-05T00:14:53Z"},{"alias_kind":"arxiv_version","alias_value":"1812.04279v2","created_at":"2026-07-05T00:14:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.04279","created_at":"2026-07-05T00:14:53Z"},{"alias_kind":"pith_short_12","alias_value":"K7UOCRCCHJKA","created_at":"2026-07-05T00:14:53Z"},{"alias_kind":"pith_short_16","alias_value":"K7UOCRCCHJKAPE5P","created_at":"2026-07-05T00:14:53Z"},{"alias_kind":"pith_short_8","alias_value":"K7UOCRCC","created_at":"2026-07-05T00:14:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:K7UOCRCCHJKAPE5PWNI3EKILEN","target":"record","payload":{"canonical_record":{"source":{"id":"1812.04279","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2018-12-11T09:14:45Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"e2ee09c78098d33e11a79c057ad2af19c973f224693244202704514dfc5154ae","abstract_canon_sha256":"6ae238c3ca6aa854f0674613765433300247fddc4ed3be0b5d8c98fe1077cc99"},"schema_version":"1.0"},"canonical_sha256":"57e8e144423a540793afb351b2290b234c2e259ecd1c5f767157a041d39125be","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:14:53.201970Z","signature_b64":"a/xfC0i0NwLH8iaHBcoNp+OMn6ltKCEP9LJAbezXHfXaIFIWzSwNwBMlRwZWeQuc9SBwaT+eYZGn80y0gqyjBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"57e8e144423a540793afb351b2290b234c2e259ecd1c5f767157a041d39125be","last_reissued_at":"2026-07-05T00:14:53.201550Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:14:53.201550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.04279","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:14:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X9SjKMhYGLS6eyAh5mAXB0D6yGcS/Uggq1FkkGaJWc2GCnODW76a+f5GiWkjIyuyLp98tif0xEe81gi8PCd8AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T06:47:35.545504Z"},"content_sha256":"59112a9787fb5e848e79b976f0a327ec475ee68be95299b6a92045546c8c86cb","schema_version":"1.0","event_id":"sha256:59112a9787fb5e848e79b976f0a327ec475ee68be95299b6a92045546c8c86cb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:K7UOCRCCHJKAPE5PWNI3EKILEN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lattice study of R\\'enyi entanglement entropy in $SU(N_c)$ lattice Yang-Mills theory with $N_c = 2, 3, 4$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-lat","authors_text":"Andreas Rabenstein, Andreas Sch\\\"afer, Norbert Bodendorfer, Pavel Buividovich","submitted_at":"2018-12-11T09:14:45Z","abstract_excerpt":"We consider the second R\\'enyi entropy $S^{(2)}$ in pure lattice gauge theory with $SU(2)$, $SU(3)$ and $SU(4)$ gauge groups, which serves as a first approximation for the entanglement entropy and the entropic $C$-function. We compare the results for different gauge groups using scale setting via the string tension. We confirm that at small distances $l$ our approximation for the entropic $C$-function $C(l)$, calculated for the slab-shaped entangled region of width $l$, scales as $N_c^2 - 1$ in accordance with its interpretation in terms of free gluons. At larger distances $l$ $C(l)$ is found "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.04279","kind":"arxiv","version":2},"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/1812.04279/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":"2026-07-05T00:14:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nEpsbqCzaM6XGc0kcJNTz74Rrwk7t3smPejIUoQXC7lyifj6r2b53I/Jm0Vd9Vxr6j878BER4pm5ItV/ugRNAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T06:47:35.545991Z"},"content_sha256":"cf354aefed68db6c5babbf343e72b37295bc61a1e0a55605ba97ada38b5ee7fb","schema_version":"1.0","event_id":"sha256:cf354aefed68db6c5babbf343e72b37295bc61a1e0a55605ba97ada38b5ee7fb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K7UOCRCCHJKAPE5PWNI3EKILEN/bundle.json","state_url":"https://pith.science/pith/K7UOCRCCHJKAPE5PWNI3EKILEN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K7UOCRCCHJKAPE5PWNI3EKILEN/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":"2026-08-22T06:47:35Z","links":{"resolver":"https://pith.science/pith/K7UOCRCCHJKAPE5PWNI3EKILEN","bundle":"https://pith.science/pith/K7UOCRCCHJKAPE5PWNI3EKILEN/bundle.json","state":"https://pith.science/pith/K7UOCRCCHJKAPE5PWNI3EKILEN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K7UOCRCCHJKAPE5PWNI3EKILEN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:K7UOCRCCHJKAPE5PWNI3EKILEN","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":"6ae238c3ca6aa854f0674613765433300247fddc4ed3be0b5d8c98fe1077cc99","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2018-12-11T09:14:45Z","title_canon_sha256":"e2ee09c78098d33e11a79c057ad2af19c973f224693244202704514dfc5154ae"},"schema_version":"1.0","source":{"id":"1812.04279","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.04279","created_at":"2026-07-05T00:14:53Z"},{"alias_kind":"arxiv_version","alias_value":"1812.04279v2","created_at":"2026-07-05T00:14:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.04279","created_at":"2026-07-05T00:14:53Z"},{"alias_kind":"pith_short_12","alias_value":"K7UOCRCCHJKA","created_at":"2026-07-05T00:14:53Z"},{"alias_kind":"pith_short_16","alias_value":"K7UOCRCCHJKAPE5P","created_at":"2026-07-05T00:14:53Z"},{"alias_kind":"pith_short_8","alias_value":"K7UOCRCC","created_at":"2026-07-05T00:14:53Z"}],"graph_snapshots":[{"event_id":"sha256:cf354aefed68db6c5babbf343e72b37295bc61a1e0a55605ba97ada38b5ee7fb","target":"graph","created_at":"2026-07-05T00:14:53Z","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/1812.04279/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the second R\\'enyi entropy $S^{(2)}$ in pure lattice gauge theory with $SU(2)$, $SU(3)$ and $SU(4)$ gauge groups, which serves as a first approximation for the entanglement entropy and the entropic $C$-function. We compare the results for different gauge groups using scale setting via the string tension. We confirm that at small distances $l$ our approximation for the entropic $C$-function $C(l)$, calculated for the slab-shaped entangled region of width $l$, scales as $N_c^2 - 1$ in accordance with its interpretation in terms of free gluons. At larger distances $l$ $C(l)$ is found ","authors_text":"Andreas Rabenstein, Andreas Sch\\\"afer, Norbert Bodendorfer, Pavel Buividovich","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2018-12-11T09:14:45Z","title":"Lattice study of R\\'enyi entanglement entropy in $SU(N_c)$ lattice Yang-Mills theory with $N_c = 2, 3, 4$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.04279","kind":"arxiv","version":2},"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":"sha256:59112a9787fb5e848e79b976f0a327ec475ee68be95299b6a92045546c8c86cb","target":"record","created_at":"2026-07-05T00:14:53Z","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":"6ae238c3ca6aa854f0674613765433300247fddc4ed3be0b5d8c98fe1077cc99","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2018-12-11T09:14:45Z","title_canon_sha256":"e2ee09c78098d33e11a79c057ad2af19c973f224693244202704514dfc5154ae"},"schema_version":"1.0","source":{"id":"1812.04279","kind":"arxiv","version":2}},"canonical_sha256":"57e8e144423a540793afb351b2290b234c2e259ecd1c5f767157a041d39125be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57e8e144423a540793afb351b2290b234c2e259ecd1c5f767157a041d39125be","first_computed_at":"2026-07-05T00:14:53.201550Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:14:53.201550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a/xfC0i0NwLH8iaHBcoNp+OMn6ltKCEP9LJAbezXHfXaIFIWzSwNwBMlRwZWeQuc9SBwaT+eYZGn80y0gqyjBA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:14:53.201970Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.04279","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59112a9787fb5e848e79b976f0a327ec475ee68be95299b6a92045546c8c86cb","sha256:cf354aefed68db6c5babbf343e72b37295bc61a1e0a55605ba97ada38b5ee7fb"],"state_sha256":"925a94ac419a6cea8784efd507a1b706ec537c1c6fdf3b58254d185eaacef3a5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R5QTbnqcDZ/EYb3GrxXKuIgIdzHc2sksKI+9QPRFHcGneqJE68TVydgaPPhN+WAp+330rApSPEB35VUX5e9YBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T06:47:35.549579Z","bundle_sha256":"8a68f1473ba0fb72c550f8b0ff71930746e083dff00f1c1e794e147059a875c9"}}