{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:CPCOVDXHEXRNBUM6R3S23K6GOS","short_pith_number":"pith:CPCOVDXH","canonical_record":{"source":{"id":"0809.4276","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-09-25T10:11:27Z","cross_cats_sorted":["cond-mat.str-el","hep-th"],"title_canon_sha256":"227687b4d34f4b40454526ab91a4233d0fe74030a186d8bd3b17dc7bb7081fa7","abstract_canon_sha256":"6831549931a88bb39f8c3dba016a239d70ac1fe9bdfb73402e454dac90c29d07"},"schema_version":"1.0"},"canonical_sha256":"13c4ea8ee725e2d0d19e8ee5adabc674bfce1b2790271f1d6908c9e93c9f59fa","source":{"kind":"arxiv","id":"0809.4276","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.4276","created_at":"2026-07-04T17:12:57Z"},{"alias_kind":"arxiv_version","alias_value":"0809.4276v5","created_at":"2026-07-04T17:12:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.4276","created_at":"2026-07-04T17:12:57Z"},{"alias_kind":"pith_short_12","alias_value":"CPCOVDXHEXRN","created_at":"2026-07-04T17:12:57Z"},{"alias_kind":"pith_short_16","alias_value":"CPCOVDXHEXRNBUM6","created_at":"2026-07-04T17:12:57Z"},{"alias_kind":"pith_short_8","alias_value":"CPCOVDXH","created_at":"2026-07-04T17:12:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:CPCOVDXHEXRNBUM6R3S23K6GOS","target":"record","payload":{"canonical_record":{"source":{"id":"0809.4276","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-09-25T10:11:27Z","cross_cats_sorted":["cond-mat.str-el","hep-th"],"title_canon_sha256":"227687b4d34f4b40454526ab91a4233d0fe74030a186d8bd3b17dc7bb7081fa7","abstract_canon_sha256":"6831549931a88bb39f8c3dba016a239d70ac1fe9bdfb73402e454dac90c29d07"},"schema_version":"1.0"},"canonical_sha256":"13c4ea8ee725e2d0d19e8ee5adabc674bfce1b2790271f1d6908c9e93c9f59fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:12:57.264297Z","signature_b64":"DhkGmSOnS1YNIAL6h574orKtKnNQreaNQI9R34+b4FcaAAwgZBkdamyafFeopamlroW00mdKMImhuutZYzMIBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13c4ea8ee725e2d0d19e8ee5adabc674bfce1b2790271f1d6908c9e93c9f59fa","last_reissued_at":"2026-07-04T17:12:57.263966Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:12:57.263966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0809.4276","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:12:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"luPj02rlOYS/VnDwpga/CagM9br9QI7WIaVTTPjmNLFj6eOZcOV4ZVa3q0UNBcRlPBbvJ/1dKs0qqz5aXgTOAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T05:57:14.747302Z"},"content_sha256":"7036c4e49a5beb7a8c40dda222f5a66c267ce7d3e79738f232d9566e99107775","schema_version":"1.0","event_id":"sha256:7036c4e49a5beb7a8c40dda222f5a66c267ce7d3e79738f232d9566e99107775"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:CPCOVDXHEXRNBUM6R3S23K6GOS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entanglement properties of topological color codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-th"],"primary_cat":"quant-ph","authors_text":"Mehdi Kargarian","submitted_at":"2008-09-25T10:11:27Z","abstract_excerpt":"The entanglement properties of a class of topological stabilizer states, the so called \\emph{topological color codes} defined on a two-dimensional lattice or \\emph{2-colex}, are calculated. The topological entropy is used to measure the entanglement of different bipartitions of the 2-colex. The dependency of the ground state degeneracy on the genus of the surface shows that the color code can support a topological order, and the contribution of the color in its structure makes it interesting to compare with the Kitaev's toric code. While a qubit is maximally entangled with rest of the system, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.4276","kind":"arxiv","version":5},"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/0809.4276/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":"2026-07-04T17:12:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XFABck18VpsGkSAY7xzB7BPKpckCKVTk0AjKBBOjHHQ04j2/n1Ts47hQkwbBqcf255jD046M6QjVQvqa0d6ACw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T05:57:14.748295Z"},"content_sha256":"208ac864ace9526b7cd84d3a77a32695139a119fff7e3651da36fa5dc0df0e42","schema_version":"1.0","event_id":"sha256:208ac864ace9526b7cd84d3a77a32695139a119fff7e3651da36fa5dc0df0e42"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CPCOVDXHEXRNBUM6R3S23K6GOS/bundle.json","state_url":"https://pith.science/pith/CPCOVDXHEXRNBUM6R3S23K6GOS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CPCOVDXHEXRNBUM6R3S23K6GOS/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":"2026-08-18T05:57:14Z","links":{"resolver":"https://pith.science/pith/CPCOVDXHEXRNBUM6R3S23K6GOS","bundle":"https://pith.science/pith/CPCOVDXHEXRNBUM6R3S23K6GOS/bundle.json","state":"https://pith.science/pith/CPCOVDXHEXRNBUM6R3S23K6GOS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CPCOVDXHEXRNBUM6R3S23K6GOS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:CPCOVDXHEXRNBUM6R3S23K6GOS","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":"6831549931a88bb39f8c3dba016a239d70ac1fe9bdfb73402e454dac90c29d07","cross_cats_sorted":["cond-mat.str-el","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-09-25T10:11:27Z","title_canon_sha256":"227687b4d34f4b40454526ab91a4233d0fe74030a186d8bd3b17dc7bb7081fa7"},"schema_version":"1.0","source":{"id":"0809.4276","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.4276","created_at":"2026-07-04T17:12:57Z"},{"alias_kind":"arxiv_version","alias_value":"0809.4276v5","created_at":"2026-07-04T17:12:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.4276","created_at":"2026-07-04T17:12:57Z"},{"alias_kind":"pith_short_12","alias_value":"CPCOVDXHEXRN","created_at":"2026-07-04T17:12:57Z"},{"alias_kind":"pith_short_16","alias_value":"CPCOVDXHEXRNBUM6","created_at":"2026-07-04T17:12:57Z"},{"alias_kind":"pith_short_8","alias_value":"CPCOVDXH","created_at":"2026-07-04T17:12:57Z"}],"graph_snapshots":[{"event_id":"sha256:208ac864ace9526b7cd84d3a77a32695139a119fff7e3651da36fa5dc0df0e42","target":"graph","created_at":"2026-07-04T17:12:57Z","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/0809.4276/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The entanglement properties of a class of topological stabilizer states, the so called \\emph{topological color codes} defined on a two-dimensional lattice or \\emph{2-colex}, are calculated. The topological entropy is used to measure the entanglement of different bipartitions of the 2-colex. The dependency of the ground state degeneracy on the genus of the surface shows that the color code can support a topological order, and the contribution of the color in its structure makes it interesting to compare with the Kitaev's toric code. While a qubit is maximally entangled with rest of the system, ","authors_text":"Mehdi Kargarian","cross_cats":["cond-mat.str-el","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-09-25T10:11:27Z","title":"Entanglement properties of topological color codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.4276","kind":"arxiv","version":5},"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":"sha256:7036c4e49a5beb7a8c40dda222f5a66c267ce7d3e79738f232d9566e99107775","target":"record","created_at":"2026-07-04T17:12:57Z","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":"6831549931a88bb39f8c3dba016a239d70ac1fe9bdfb73402e454dac90c29d07","cross_cats_sorted":["cond-mat.str-el","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-09-25T10:11:27Z","title_canon_sha256":"227687b4d34f4b40454526ab91a4233d0fe74030a186d8bd3b17dc7bb7081fa7"},"schema_version":"1.0","source":{"id":"0809.4276","kind":"arxiv","version":5}},"canonical_sha256":"13c4ea8ee725e2d0d19e8ee5adabc674bfce1b2790271f1d6908c9e93c9f59fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13c4ea8ee725e2d0d19e8ee5adabc674bfce1b2790271f1d6908c9e93c9f59fa","first_computed_at":"2026-07-04T17:12:57.263966Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:12:57.263966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DhkGmSOnS1YNIAL6h574orKtKnNQreaNQI9R34+b4FcaAAwgZBkdamyafFeopamlroW00mdKMImhuutZYzMIBA==","signature_status":"signed_v1","signed_at":"2026-07-04T17:12:57.264297Z","signed_message":"canonical_sha256_bytes"},"source_id":"0809.4276","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7036c4e49a5beb7a8c40dda222f5a66c267ce7d3e79738f232d9566e99107775","sha256:208ac864ace9526b7cd84d3a77a32695139a119fff7e3651da36fa5dc0df0e42"],"state_sha256":"b834a02cc3ec6047d6d76d983597a34b84c506239ef5ddd5fc6888cce6e79237"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n7c3JnAs9e8125rgfLgOvag+9lg9MkjrV6He7eNDGlreXMxK+pIATwp7Ugi4KnFBqNYj+t/KTuUPyC44LNYoDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T05:57:14.757556Z","bundle_sha256":"07f766b30e8f753cdf92406e0caec43f826f2c7e5655bf2c06ad439a43069318"}}