{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:PGOVQWYOXGNRLXFI5FH5PTGIRW","short_pith_number":"pith:PGOVQWYO","canonical_record":{"source":{"id":"quant-ph/0405060","kind":"arxiv","version":5},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2004-05-12T07:08:14Z","cross_cats_sorted":[],"title_canon_sha256":"9e3fdf81a81e0e9b46459d3ab028f889c4d2183f2d7a6711de35250194aa148a","abstract_canon_sha256":"510013c5141fef39054e70322cb63338f32cca48b15b7d8cb91b8b631812e1c7"},"schema_version":"1.0"},"canonical_sha256":"799d585b0eb99b15dca8e94fd7ccc88dba516d307599640516e8ec55875099ab","source":{"kind":"arxiv","id":"quant-ph/0405060","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0405060","created_at":"2026-05-18T01:05:03Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0405060v5","created_at":"2026-05-18T01:05:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0405060","created_at":"2026-05-18T01:05:03Z"},{"alias_kind":"pith_short_12","alias_value":"PGOVQWYOXGNR","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"PGOVQWYOXGNRLXFI","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"PGOVQWYO","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:PGOVQWYOXGNRLXFI5FH5PTGIRW","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0405060","kind":"arxiv","version":5},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2004-05-12T07:08:14Z","cross_cats_sorted":[],"title_canon_sha256":"9e3fdf81a81e0e9b46459d3ab028f889c4d2183f2d7a6711de35250194aa148a","abstract_canon_sha256":"510013c5141fef39054e70322cb63338f32cca48b15b7d8cb91b8b631812e1c7"},"schema_version":"1.0"},"canonical_sha256":"799d585b0eb99b15dca8e94fd7ccc88dba516d307599640516e8ec55875099ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:03.551057Z","signature_b64":"mb3YjzuHTQX4nOyPQ9cnY3KvcjYkLILljWujyZkIR1nQjaHmHWoUPypF+Bzpq/60WePcAFvrBIWNv7Txo8FdAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"799d585b0eb99b15dca8e94fd7ccc88dba516d307599640516e8ec55875099ab","last_reissued_at":"2026-05-18T01:05:03.550420Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:03.550420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0405060","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":"2026-05-18T01:05:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8i/NvxIQJctnnk9WLLXq6bUlDSWRIef4oaPMG6CCMSRmB3G+xQoEXpHPH6y+lI7VJSZpwBJBZHsmeI91Bj/HDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:39:58.238348Z"},"content_sha256":"96629b3129816ea5297182826b04d8de5506e2318eb130e00ebe3bd4d59984b4","schema_version":"1.0","event_id":"sha256:96629b3129816ea5297182826b04d8de5506e2318eb130e00ebe3bd4d59984b4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:PGOVQWYOXGNRLXFI5FH5PTGIRW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermal entanglement of spins in the Heisenberg model at low temperatures","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"M. Asoudeh, V. Karimipour","submitted_at":"2004-05-12T07:08:14Z","abstract_excerpt":"We calculate the entanglement between two spins in the ferromagnetic Heisenberg chain at low temperatures, and show that when only the ground state and the one particle states are populated, the entanglement profile is a gaussian with a characteristic length depending on the temperature and the coupling between spins. The magnetic field only affects the amplitude of the profile and not its characteristic length."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0405060","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":""},"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":"2026-05-18T01:05:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JjeGy0QDfZPydkLDgWHnoNeY8Mqu065wgRy7/BQak5LHJr2hKgzzdHEZW288wzpICMlVNVumg5gEhP/pX/H8AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:39:58.238941Z"},"content_sha256":"5d0f50fa263a2608fcd9d0c89f49038045dc65e5f0d8ca068372e2c6a6c28814","schema_version":"1.0","event_id":"sha256:5d0f50fa263a2608fcd9d0c89f49038045dc65e5f0d8ca068372e2c6a6c28814"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PGOVQWYOXGNRLXFI5FH5PTGIRW/bundle.json","state_url":"https://pith.science/pith/PGOVQWYOXGNRLXFI5FH5PTGIRW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PGOVQWYOXGNRLXFI5FH5PTGIRW/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":"2026-06-05T20:39:58Z","links":{"resolver":"https://pith.science/pith/PGOVQWYOXGNRLXFI5FH5PTGIRW","bundle":"https://pith.science/pith/PGOVQWYOXGNRLXFI5FH5PTGIRW/bundle.json","state":"https://pith.science/pith/PGOVQWYOXGNRLXFI5FH5PTGIRW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PGOVQWYOXGNRLXFI5FH5PTGIRW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:PGOVQWYOXGNRLXFI5FH5PTGIRW","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":"510013c5141fef39054e70322cb63338f32cca48b15b7d8cb91b8b631812e1c7","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2004-05-12T07:08:14Z","title_canon_sha256":"9e3fdf81a81e0e9b46459d3ab028f889c4d2183f2d7a6711de35250194aa148a"},"schema_version":"1.0","source":{"id":"quant-ph/0405060","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0405060","created_at":"2026-05-18T01:05:03Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0405060v5","created_at":"2026-05-18T01:05:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0405060","created_at":"2026-05-18T01:05:03Z"},{"alias_kind":"pith_short_12","alias_value":"PGOVQWYOXGNR","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"PGOVQWYOXGNRLXFI","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"PGOVQWYO","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:5d0f50fa263a2608fcd9d0c89f49038045dc65e5f0d8ca068372e2c6a6c28814","target":"graph","created_at":"2026-05-18T01:05:03Z","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":"We calculate the entanglement between two spins in the ferromagnetic Heisenberg chain at low temperatures, and show that when only the ground state and the one particle states are populated, the entanglement profile is a gaussian with a characteristic length depending on the temperature and the coupling between spins. The magnetic field only affects the amplitude of the profile and not its characteristic length.","authors_text":"M. Asoudeh, V. Karimipour","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2004-05-12T07:08:14Z","title":"Thermal entanglement of spins in the Heisenberg model at low temperatures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0405060","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":"sha256:96629b3129816ea5297182826b04d8de5506e2318eb130e00ebe3bd4d59984b4","target":"record","created_at":"2026-05-18T01:05:03Z","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":"510013c5141fef39054e70322cb63338f32cca48b15b7d8cb91b8b631812e1c7","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2004-05-12T07:08:14Z","title_canon_sha256":"9e3fdf81a81e0e9b46459d3ab028f889c4d2183f2d7a6711de35250194aa148a"},"schema_version":"1.0","source":{"id":"quant-ph/0405060","kind":"arxiv","version":5}},"canonical_sha256":"799d585b0eb99b15dca8e94fd7ccc88dba516d307599640516e8ec55875099ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"799d585b0eb99b15dca8e94fd7ccc88dba516d307599640516e8ec55875099ab","first_computed_at":"2026-05-18T01:05:03.550420Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:03.550420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mb3YjzuHTQX4nOyPQ9cnY3KvcjYkLILljWujyZkIR1nQjaHmHWoUPypF+Bzpq/60WePcAFvrBIWNv7Txo8FdAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:03.551057Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0405060","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96629b3129816ea5297182826b04d8de5506e2318eb130e00ebe3bd4d59984b4","sha256:5d0f50fa263a2608fcd9d0c89f49038045dc65e5f0d8ca068372e2c6a6c28814"],"state_sha256":"8d42c86efb77eaa19718a0f0c3a210b994ba23d1f5c9a057fa0f7e4cc5fe41a5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QpL1RyJ7WITBmXrndnJfwbHU1Yv1rAoC7tOXbTcT4YpjipB2P/xcJ/26LTqJPrOdFAXNuRs+N4bJ3KfhPPjqCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T20:39:58.243637Z","bundle_sha256":"21a10b6140772eff55327f751665165a20272acb2264e6aa93b8b69cc9bb25f2"}}