{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:6KQ5HN33CJCPG2VBEOVV5WUXI4","short_pith_number":"pith:6KQ5HN33","canonical_record":{"source":{"id":"2310.19874","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-10-30T18:00:01Z","cross_cats_sorted":["hep-th","math.GR"],"title_canon_sha256":"285504143327ac1e3d33c6e994f8479114c7e75ba5cfa336e3f5863c6abcd19b","abstract_canon_sha256":"7180c17cf5f5b7f78ed2b63beb6e93b90fcb4fc0ef60f5e3ee7915a3e5cb4c68"},"schema_version":"1.0"},"canonical_sha256":"f2a1d3b77b1244f36aa123ab5eda97471b9bf47506d21975ae960a65f27256a6","source":{"kind":"arxiv","id":"2310.19874","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.19874","created_at":"2026-07-05T11:39:01Z"},{"alias_kind":"arxiv_version","alias_value":"2310.19874v2","created_at":"2026-07-05T11:39:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.19874","created_at":"2026-07-05T11:39:01Z"},{"alias_kind":"pith_short_12","alias_value":"6KQ5HN33CJCP","created_at":"2026-07-05T11:39:01Z"},{"alias_kind":"pith_short_16","alias_value":"6KQ5HN33CJCPG2VB","created_at":"2026-07-05T11:39:01Z"},{"alias_kind":"pith_short_8","alias_value":"6KQ5HN33","created_at":"2026-07-05T11:39:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:6KQ5HN33CJCPG2VBEOVV5WUXI4","target":"record","payload":{"canonical_record":{"source":{"id":"2310.19874","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-10-30T18:00:01Z","cross_cats_sorted":["hep-th","math.GR"],"title_canon_sha256":"285504143327ac1e3d33c6e994f8479114c7e75ba5cfa336e3f5863c6abcd19b","abstract_canon_sha256":"7180c17cf5f5b7f78ed2b63beb6e93b90fcb4fc0ef60f5e3ee7915a3e5cb4c68"},"schema_version":"1.0"},"canonical_sha256":"f2a1d3b77b1244f36aa123ab5eda97471b9bf47506d21975ae960a65f27256a6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:39:01.473938Z","signature_b64":"s0Iux0xdiqJk0dkXNEDGK91BUGT0tsTZ084PS4f4WoEYECyRVVvmy3UTP3FYlfKiy3K9/1qOZSWBLtB/yeaTBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f2a1d3b77b1244f36aa123ab5eda97471b9bf47506d21975ae960a65f27256a6","last_reissued_at":"2026-07-05T11:39:01.473477Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:39:01.473477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2310.19874","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":"2026-07-05T11:39:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q/yXLL7a62Glo/X20Pq8Mnpj687qyZY1LuAHtVV5xKk7uPd/eHfsPsqujdIH37jTqbileSxl2760/Cv3mAxEAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T17:44:48.216489Z"},"content_sha256":"19811f1f8e0f4edd69aaa6721a89bab54393f8e59ebcad3c78f1d34194342371","schema_version":"1.0","event_id":"sha256:19811f1f8e0f4edd69aaa6721a89bab54393f8e59ebcad3c78f1d34194342371"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:6KQ5HN33CJCPG2VBEOVV5WUXI4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bounding Entanglement Entropy with Clifford Double Cosets","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","math.GR"],"primary_cat":"quant-ph","authors_text":"Cynthia Keeler, Jason Pollack, William Munizzi","submitted_at":"2023-10-30T18:00:01Z","abstract_excerpt":"Following on our previous work arXiv:2204.07593 and arXiv:2306.01043 studying the orbits of quantum states under Clifford circuits via `reachability graphs', we introduce `contracted graphs' whose vertices represent classes of quantum states with the same entropy vector. These contracted graphs represent the double cosets of the Clifford group, where the left cosets are built from the stabilizer subgroup of the starting state and the right cosets are built from the entropy-preserving operators. We study contracted graphs for stabilizer states, as well as W states and Dicke states, discussing h"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.19874","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/2310.19874/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":"2026-07-05T11:39:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gGuGu8OSiKglwgAL5W/HfHaZcjGFHWdOShQnhKHeSagQMEZ/nKnBF/zsP4iZ+1ZjD7Qj/fcFiQMOTfyPVZZHCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T17:44:48.216967Z"},"content_sha256":"168463f4fdcd20d15d407da72165ba2d96feef8a6e8a961399d7f04575320eff","schema_version":"1.0","event_id":"sha256:168463f4fdcd20d15d407da72165ba2d96feef8a6e8a961399d7f04575320eff"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6KQ5HN33CJCPG2VBEOVV5WUXI4/bundle.json","state_url":"https://pith.science/pith/6KQ5HN33CJCPG2VBEOVV5WUXI4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6KQ5HN33CJCPG2VBEOVV5WUXI4/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":"2026-08-05T17:44:48Z","links":{"resolver":"https://pith.science/pith/6KQ5HN33CJCPG2VBEOVV5WUXI4","bundle":"https://pith.science/pith/6KQ5HN33CJCPG2VBEOVV5WUXI4/bundle.json","state":"https://pith.science/pith/6KQ5HN33CJCPG2VBEOVV5WUXI4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6KQ5HN33CJCPG2VBEOVV5WUXI4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:6KQ5HN33CJCPG2VBEOVV5WUXI4","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":"7180c17cf5f5b7f78ed2b63beb6e93b90fcb4fc0ef60f5e3ee7915a3e5cb4c68","cross_cats_sorted":["hep-th","math.GR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-10-30T18:00:01Z","title_canon_sha256":"285504143327ac1e3d33c6e994f8479114c7e75ba5cfa336e3f5863c6abcd19b"},"schema_version":"1.0","source":{"id":"2310.19874","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.19874","created_at":"2026-07-05T11:39:01Z"},{"alias_kind":"arxiv_version","alias_value":"2310.19874v2","created_at":"2026-07-05T11:39:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.19874","created_at":"2026-07-05T11:39:01Z"},{"alias_kind":"pith_short_12","alias_value":"6KQ5HN33CJCP","created_at":"2026-07-05T11:39:01Z"},{"alias_kind":"pith_short_16","alias_value":"6KQ5HN33CJCPG2VB","created_at":"2026-07-05T11:39:01Z"},{"alias_kind":"pith_short_8","alias_value":"6KQ5HN33","created_at":"2026-07-05T11:39:01Z"}],"graph_snapshots":[{"event_id":"sha256:168463f4fdcd20d15d407da72165ba2d96feef8a6e8a961399d7f04575320eff","target":"graph","created_at":"2026-07-05T11:39:01Z","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/2310.19874/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Following on our previous work arXiv:2204.07593 and arXiv:2306.01043 studying the orbits of quantum states under Clifford circuits via `reachability graphs', we introduce `contracted graphs' whose vertices represent classes of quantum states with the same entropy vector. These contracted graphs represent the double cosets of the Clifford group, where the left cosets are built from the stabilizer subgroup of the starting state and the right cosets are built from the entropy-preserving operators. We study contracted graphs for stabilizer states, as well as W states and Dicke states, discussing h","authors_text":"Cynthia Keeler, Jason Pollack, William Munizzi","cross_cats":["hep-th","math.GR"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-10-30T18:00:01Z","title":"Bounding Entanglement Entropy with Clifford Double Cosets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.19874","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":"sha256:19811f1f8e0f4edd69aaa6721a89bab54393f8e59ebcad3c78f1d34194342371","target":"record","created_at":"2026-07-05T11:39:01Z","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":"7180c17cf5f5b7f78ed2b63beb6e93b90fcb4fc0ef60f5e3ee7915a3e5cb4c68","cross_cats_sorted":["hep-th","math.GR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-10-30T18:00:01Z","title_canon_sha256":"285504143327ac1e3d33c6e994f8479114c7e75ba5cfa336e3f5863c6abcd19b"},"schema_version":"1.0","source":{"id":"2310.19874","kind":"arxiv","version":2}},"canonical_sha256":"f2a1d3b77b1244f36aa123ab5eda97471b9bf47506d21975ae960a65f27256a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f2a1d3b77b1244f36aa123ab5eda97471b9bf47506d21975ae960a65f27256a6","first_computed_at":"2026-07-05T11:39:01.473477Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:39:01.473477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s0Iux0xdiqJk0dkXNEDGK91BUGT0tsTZ084PS4f4WoEYECyRVVvmy3UTP3FYlfKiy3K9/1qOZSWBLtB/yeaTBg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:39:01.473938Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.19874","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:19811f1f8e0f4edd69aaa6721a89bab54393f8e59ebcad3c78f1d34194342371","sha256:168463f4fdcd20d15d407da72165ba2d96feef8a6e8a961399d7f04575320eff"],"state_sha256":"ce9e879a0647b8548895695791d4d8bd39e9e3967009956b11af836d8cf49dd8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2g7ud9Mtez0JsShKSYNy71D0dwmeiicHgy393R5n4prulczQVBbdvekQu0oiFxD1YX5gtb/yacVDdomAJj+JAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T17:44:48.220249Z","bundle_sha256":"46c4186b5eaec53f1cf45357fd6fd387f5b77197a212ef857d36e8c9d1ea85a2"}}