{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:JGWQOII7G5D6E6TB4LQTLIE43V","short_pith_number":"pith:JGWQOII7","canonical_record":{"source":{"id":"math-ph/0110011","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2001-10-09T07:11:26Z","cross_cats_sorted":["cond-mat.stat-mech","math.CO","math.MP","nlin.SI"],"title_canon_sha256":"108a32c27852071389f0c1358e4be7fd49bd38d9ed90c06150b9f76bd2482499","abstract_canon_sha256":"23d021fb03d128a91430c285e6fe5c86accb5204a98db5b383af81e23ae277ea"},"schema_version":"1.0"},"canonical_sha256":"49ad07211f3747e27a61e2e135a09cdd71ccd86fe580c670af584de0d3f8d0f2","source":{"kind":"arxiv","id":"math-ph/0110011","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0110011","created_at":"2026-05-18T04:07:29Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0110011v1","created_at":"2026-05-18T04:07:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0110011","created_at":"2026-05-18T04:07:29Z"},{"alias_kind":"pith_short_12","alias_value":"JGWQOII7G5D6","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"JGWQOII7G5D6E6TB","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"JGWQOII7","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:JGWQOII7G5D6E6TB4LQTLIE43V","target":"record","payload":{"canonical_record":{"source":{"id":"math-ph/0110011","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2001-10-09T07:11:26Z","cross_cats_sorted":["cond-mat.stat-mech","math.CO","math.MP","nlin.SI"],"title_canon_sha256":"108a32c27852071389f0c1358e4be7fd49bd38d9ed90c06150b9f76bd2482499","abstract_canon_sha256":"23d021fb03d128a91430c285e6fe5c86accb5204a98db5b383af81e23ae277ea"},"schema_version":"1.0"},"canonical_sha256":"49ad07211f3747e27a61e2e135a09cdd71ccd86fe580c670af584de0d3f8d0f2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:07:29.548813Z","signature_b64":"95KvhFMqkqAkU2g7xlqx/0Harnd6w0Y0jDMVvUZXX/9Kb7PFYWiMcuBJY7EbCjR/iAdrXirnfPF0H0YR8ZgoAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"49ad07211f3747e27a61e2e135a09cdd71ccd86fe580c670af584de0d3f8d0f2","last_reissued_at":"2026-05-18T04:07:29.548179Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:07:29.548179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math-ph/0110011","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:07:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gEPeafMgbC4eIIq3IMvID5V8c4cDw9NCVdstPuTNUGLoBqKQzGuOtScTtzE49QNl/Sf+ss8wGL48mIbe1J80Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T09:21:35.283236Z"},"content_sha256":"3a62c5e92625cfe03f4598d9ab8426a3a234468851af0aada73166bfe2128162","schema_version":"1.0","event_id":"sha256:3a62c5e92625cfe03f4598d9ab8426a3a234468851af0aada73166bfe2128162"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:JGWQOII7G5D6E6TB4LQTLIE43V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The XXZ spin chain at $\\Delta=- {1/2}$: Bethe roots, symmetric functions and determinants","license":"","headline":"","cross_cats":["cond-mat.stat-mech","math.CO","math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"Bernard Nienhuis, Jan de Gier, Murray Batchelor, Saibal Mitra","submitted_at":"2001-10-09T07:11:26Z","abstract_excerpt":"A number of conjectures have been given recently concerning the connection between the antiferromagnetic XXZ spin chain at $\\Delta = - \\frac12$ and various symmetry classes of alternating sign matrices. Here we use the integrability of the XXZ chain to gain further insight into these developments. In doing so we obtain a number of new results using Baxter's $Q$ function for the XXZ chain for periodic, twisted and open boundary conditions. These include expressions for the elementary symmetric functions evaluated at the groundstate solution of the Bethe roots. In this approach Schur functions p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0110011","kind":"arxiv","version":1},"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":"2026-05-18T04:07:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BL4ZChUb7HnwUTfUBxWmqwnFLTqw0mDPfeu/df0Mmtv2w/XwmBPWFbWIl4jVZISnJij4+xyVEbV3vCI4uVxmCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T09:21:35.283612Z"},"content_sha256":"ca2301838336e8364103b91814817255a7998bada413e8e3c33e948c962795ea","schema_version":"1.0","event_id":"sha256:ca2301838336e8364103b91814817255a7998bada413e8e3c33e948c962795ea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JGWQOII7G5D6E6TB4LQTLIE43V/bundle.json","state_url":"https://pith.science/pith/JGWQOII7G5D6E6TB4LQTLIE43V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JGWQOII7G5D6E6TB4LQTLIE43V/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":"2026-06-12T09:21:35Z","links":{"resolver":"https://pith.science/pith/JGWQOII7G5D6E6TB4LQTLIE43V","bundle":"https://pith.science/pith/JGWQOII7G5D6E6TB4LQTLIE43V/bundle.json","state":"https://pith.science/pith/JGWQOII7G5D6E6TB4LQTLIE43V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JGWQOII7G5D6E6TB4LQTLIE43V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:JGWQOII7G5D6E6TB4LQTLIE43V","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":"23d021fb03d128a91430c285e6fe5c86accb5204a98db5b383af81e23ae277ea","cross_cats_sorted":["cond-mat.stat-mech","math.CO","math.MP","nlin.SI"],"license":"","primary_cat":"math-ph","submitted_at":"2001-10-09T07:11:26Z","title_canon_sha256":"108a32c27852071389f0c1358e4be7fd49bd38d9ed90c06150b9f76bd2482499"},"schema_version":"1.0","source":{"id":"math-ph/0110011","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0110011","created_at":"2026-05-18T04:07:29Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0110011v1","created_at":"2026-05-18T04:07:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0110011","created_at":"2026-05-18T04:07:29Z"},{"alias_kind":"pith_short_12","alias_value":"JGWQOII7G5D6","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"JGWQOII7G5D6E6TB","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"JGWQOII7","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:ca2301838336e8364103b91814817255a7998bada413e8e3c33e948c962795ea","target":"graph","created_at":"2026-05-18T04:07:29Z","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":"A number of conjectures have been given recently concerning the connection between the antiferromagnetic XXZ spin chain at $\\Delta = - \\frac12$ and various symmetry classes of alternating sign matrices. Here we use the integrability of the XXZ chain to gain further insight into these developments. In doing so we obtain a number of new results using Baxter's $Q$ function for the XXZ chain for periodic, twisted and open boundary conditions. These include expressions for the elementary symmetric functions evaluated at the groundstate solution of the Bethe roots. In this approach Schur functions p","authors_text":"Bernard Nienhuis, Jan de Gier, Murray Batchelor, Saibal Mitra","cross_cats":["cond-mat.stat-mech","math.CO","math.MP","nlin.SI"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2001-10-09T07:11:26Z","title":"The XXZ spin chain at $\\Delta=- {1/2}$: Bethe roots, symmetric functions and determinants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0110011","kind":"arxiv","version":1},"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":"sha256:3a62c5e92625cfe03f4598d9ab8426a3a234468851af0aada73166bfe2128162","target":"record","created_at":"2026-05-18T04:07:29Z","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":"23d021fb03d128a91430c285e6fe5c86accb5204a98db5b383af81e23ae277ea","cross_cats_sorted":["cond-mat.stat-mech","math.CO","math.MP","nlin.SI"],"license":"","primary_cat":"math-ph","submitted_at":"2001-10-09T07:11:26Z","title_canon_sha256":"108a32c27852071389f0c1358e4be7fd49bd38d9ed90c06150b9f76bd2482499"},"schema_version":"1.0","source":{"id":"math-ph/0110011","kind":"arxiv","version":1}},"canonical_sha256":"49ad07211f3747e27a61e2e135a09cdd71ccd86fe580c670af584de0d3f8d0f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49ad07211f3747e27a61e2e135a09cdd71ccd86fe580c670af584de0d3f8d0f2","first_computed_at":"2026-05-18T04:07:29.548179Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:07:29.548179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"95KvhFMqkqAkU2g7xlqx/0Harnd6w0Y0jDMVvUZXX/9Kb7PFYWiMcuBJY7EbCjR/iAdrXirnfPF0H0YR8ZgoAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:07:29.548813Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0110011","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a62c5e92625cfe03f4598d9ab8426a3a234468851af0aada73166bfe2128162","sha256:ca2301838336e8364103b91814817255a7998bada413e8e3c33e948c962795ea"],"state_sha256":"a2dfca047d86c29027ef61ec073881fe57c520b55a28a59eebd39d7dfa089257"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SCDx7u4C9pzZongm+r+sgNuF9UmtQYNS1yUxFum+mVokcwzWdnigx5gwdIyOW9nZ1Tr3RXY9EYMZ7ZkQ2q1wAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T09:21:35.285742Z","bundle_sha256":"fc8a9ee7632c56f358990b91cc8f1202444ae4d0be97ceac1366c71a24cce184"}}