{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:MDFC2SJYKCKYDR52YCSBUO6CF6","short_pith_number":"pith:MDFC2SJY","canonical_record":{"source":{"id":"2603.00464","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-02-28T04:51:51Z","cross_cats_sorted":[],"title_canon_sha256":"753e5d80fe9366c1de8c6afb26ae03d233df7bae7456e3d29eff50cbe93e93dd","abstract_canon_sha256":"034cfe674624a6c89c8f9abe44a7b3218f3658bf88a8442a0cbf04ec2c9ab635"},"schema_version":"1.0"},"canonical_sha256":"60ca2d4938509581c7bac0a41a3bc22f81e873afc2d3d661acbfd7193d524c8a","source":{"kind":"arxiv","id":"2603.00464","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.00464","created_at":"2026-07-08T01:18:26Z"},{"alias_kind":"arxiv_version","alias_value":"2603.00464v3","created_at":"2026-07-08T01:18:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.00464","created_at":"2026-07-08T01:18:26Z"},{"alias_kind":"pith_short_12","alias_value":"MDFC2SJYKCKY","created_at":"2026-07-08T01:18:26Z"},{"alias_kind":"pith_short_16","alias_value":"MDFC2SJYKCKYDR52","created_at":"2026-07-08T01:18:26Z"},{"alias_kind":"pith_short_8","alias_value":"MDFC2SJY","created_at":"2026-07-08T01:18:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:MDFC2SJYKCKYDR52YCSBUO6CF6","target":"record","payload":{"canonical_record":{"source":{"id":"2603.00464","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-02-28T04:51:51Z","cross_cats_sorted":[],"title_canon_sha256":"753e5d80fe9366c1de8c6afb26ae03d233df7bae7456e3d29eff50cbe93e93dd","abstract_canon_sha256":"034cfe674624a6c89c8f9abe44a7b3218f3658bf88a8442a0cbf04ec2c9ab635"},"schema_version":"1.0"},"canonical_sha256":"60ca2d4938509581c7bac0a41a3bc22f81e873afc2d3d661acbfd7193d524c8a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-08T01:18:26.099236Z","signature_b64":"DbW0jHztp7vsoBc5vjuG1Rq+FYHUZsgZC9sSRYC/LzNUwXaD/fef20A2FuBKKUuEzJ7fTB7ZxgOuPEBua8V1CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60ca2d4938509581c7bac0a41a3bc22f81e873afc2d3d661acbfd7193d524c8a","last_reissued_at":"2026-07-08T01:18:26.098671Z","signature_status":"signed_v1","first_computed_at":"2026-07-08T01:18:26.098671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2603.00464","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":"2026-07-08T01:18:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Um16CD8hs1VNvDdAj77PN+Jpsi2AdmZoCw5UPo8L6LcD1VAo6/NJRfbSRJpVX55Hn3uvSYYGzb6W1MpjGxHDCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T11:38:33.013826Z"},"content_sha256":"eddadea6649e6f134da729633fa3d426572b66f68f79a519c42efe8c7af40a82","schema_version":"1.0","event_id":"sha256:eddadea6649e6f134da729633fa3d426572b66f68f79a519c42efe8c7af40a82"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:MDFC2SJYKCKYDR52YCSBUO6CF6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Efficient Polynomial-Scaled Determination of Algebraic Entanglement Entropy Between Collective Degrees of Freedom","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Jarrod T. Reilly, John Drew Wilson, Murray J. Holland","submitted_at":"2026-02-28T04:51:51Z","abstract_excerpt":"In this work, we explore physical systems which support not only multipartite interparticle entanglement, but also intraparticle entanglement between different degrees of freedom of the constituent particles and entanglement between different degrees of freedom of different particles, i.e., algebraic entanglement. We derive a simple method for calculating the algebraic entanglement entropy between two of the particles' degrees of freedom from collective states of the whole ensemble. Our procedure makes use of underlying symmetries in these systems, in particular permutation symmetry of the par"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.00464","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.00464/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":"2026-07-08T01:18:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"elwCJLp9mG+84/MBTuStIhyN1Dj6v8vM/39gPR9iaOTY4zeFh9EvsKDwqPsnyrHVWr6XoebEjQ1pohDF5c4HCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T11:38:33.015613Z"},"content_sha256":"aefd46e9cb43c6b3944878a5d078b36363420501f1b28eeb6b1b6d75ee6fbd0a","schema_version":"1.0","event_id":"sha256:aefd46e9cb43c6b3944878a5d078b36363420501f1b28eeb6b1b6d75ee6fbd0a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MDFC2SJYKCKYDR52YCSBUO6CF6/bundle.json","state_url":"https://pith.science/pith/MDFC2SJYKCKYDR52YCSBUO6CF6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MDFC2SJYKCKYDR52YCSBUO6CF6/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":"2026-08-05T11:38:33Z","links":{"resolver":"https://pith.science/pith/MDFC2SJYKCKYDR52YCSBUO6CF6","bundle":"https://pith.science/pith/MDFC2SJYKCKYDR52YCSBUO6CF6/bundle.json","state":"https://pith.science/pith/MDFC2SJYKCKYDR52YCSBUO6CF6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MDFC2SJYKCKYDR52YCSBUO6CF6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:MDFC2SJYKCKYDR52YCSBUO6CF6","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":"034cfe674624a6c89c8f9abe44a7b3218f3658bf88a8442a0cbf04ec2c9ab635","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-02-28T04:51:51Z","title_canon_sha256":"753e5d80fe9366c1de8c6afb26ae03d233df7bae7456e3d29eff50cbe93e93dd"},"schema_version":"1.0","source":{"id":"2603.00464","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.00464","created_at":"2026-07-08T01:18:26Z"},{"alias_kind":"arxiv_version","alias_value":"2603.00464v3","created_at":"2026-07-08T01:18:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.00464","created_at":"2026-07-08T01:18:26Z"},{"alias_kind":"pith_short_12","alias_value":"MDFC2SJYKCKY","created_at":"2026-07-08T01:18:26Z"},{"alias_kind":"pith_short_16","alias_value":"MDFC2SJYKCKYDR52","created_at":"2026-07-08T01:18:26Z"},{"alias_kind":"pith_short_8","alias_value":"MDFC2SJY","created_at":"2026-07-08T01:18:26Z"}],"graph_snapshots":[{"event_id":"sha256:aefd46e9cb43c6b3944878a5d078b36363420501f1b28eeb6b1b6d75ee6fbd0a","target":"graph","created_at":"2026-07-08T01:18:26Z","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/2603.00464/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we explore physical systems which support not only multipartite interparticle entanglement, but also intraparticle entanglement between different degrees of freedom of the constituent particles and entanglement between different degrees of freedom of different particles, i.e., algebraic entanglement. We derive a simple method for calculating the algebraic entanglement entropy between two of the particles' degrees of freedom from collective states of the whole ensemble. Our procedure makes use of underlying symmetries in these systems, in particular permutation symmetry of the par","authors_text":"Jarrod T. Reilly, John Drew Wilson, Murray J. Holland","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-02-28T04:51:51Z","title":"Efficient Polynomial-Scaled Determination of Algebraic Entanglement Entropy Between Collective Degrees of Freedom"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.00464","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:eddadea6649e6f134da729633fa3d426572b66f68f79a519c42efe8c7af40a82","target":"record","created_at":"2026-07-08T01:18:26Z","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":"034cfe674624a6c89c8f9abe44a7b3218f3658bf88a8442a0cbf04ec2c9ab635","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-02-28T04:51:51Z","title_canon_sha256":"753e5d80fe9366c1de8c6afb26ae03d233df7bae7456e3d29eff50cbe93e93dd"},"schema_version":"1.0","source":{"id":"2603.00464","kind":"arxiv","version":3}},"canonical_sha256":"60ca2d4938509581c7bac0a41a3bc22f81e873afc2d3d661acbfd7193d524c8a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60ca2d4938509581c7bac0a41a3bc22f81e873afc2d3d661acbfd7193d524c8a","first_computed_at":"2026-07-08T01:18:26.098671Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-08T01:18:26.098671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DbW0jHztp7vsoBc5vjuG1Rq+FYHUZsgZC9sSRYC/LzNUwXaD/fef20A2FuBKKUuEzJ7fTB7ZxgOuPEBua8V1CA==","signature_status":"signed_v1","signed_at":"2026-07-08T01:18:26.099236Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.00464","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eddadea6649e6f134da729633fa3d426572b66f68f79a519c42efe8c7af40a82","sha256:aefd46e9cb43c6b3944878a5d078b36363420501f1b28eeb6b1b6d75ee6fbd0a"],"state_sha256":"c6ad25464911477415856a6db86a4e6709d726dfdd50107ea5f99fa4c71777a5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aDH+HHnnqLiYBbLDQ8irem40ZWkkWaYhi9XmLIsagd/j9fhN6b5fQPje6Oj9f6nmTPFxnY1+VDal54nkwKdbCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T11:38:33.024140Z","bundle_sha256":"1e3af9c037e772d674321625e22ea60a19399aae4018a3e2a361837feb63d9a4"}}