{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:3PMHFMZDM7ZORELQZGVFUDXH3A","short_pith_number":"pith:3PMHFMZD","canonical_record":{"source":{"id":"1309.4867","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-09-19T06:22:17Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"d8f977a9766d9989b6ef2311cdfd8a987653a6a340a794b23aa88274cc92d0b0","abstract_canon_sha256":"94afe9e25e1bbe0679b1d73e48796588a63a9551e262e35cf81b69b45c8b0ae1"},"schema_version":"1.0"},"canonical_sha256":"dbd872b32367f2e89170c9aa5a0ee7d81b0292ca932867b0ff74b49f19650901","source":{"kind":"arxiv","id":"1309.4867","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.4867","created_at":"2026-05-18T03:05:18Z"},{"alias_kind":"arxiv_version","alias_value":"1309.4867v1","created_at":"2026-05-18T03:05:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.4867","created_at":"2026-05-18T03:05:18Z"},{"alias_kind":"pith_short_12","alias_value":"3PMHFMZDM7ZO","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3PMHFMZDM7ZORELQ","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3PMHFMZD","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:3PMHFMZDM7ZORELQZGVFUDXH3A","target":"record","payload":{"canonical_record":{"source":{"id":"1309.4867","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-09-19T06:22:17Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"d8f977a9766d9989b6ef2311cdfd8a987653a6a340a794b23aa88274cc92d0b0","abstract_canon_sha256":"94afe9e25e1bbe0679b1d73e48796588a63a9551e262e35cf81b69b45c8b0ae1"},"schema_version":"1.0"},"canonical_sha256":"dbd872b32367f2e89170c9aa5a0ee7d81b0292ca932867b0ff74b49f19650901","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:18.069175Z","signature_b64":"nHB50I3t55pZK4tc4eHHfc6NIXp/6PPQjgwIH1HsYjRDaBNk/VcDJz0be9h1JJAyuX7RBotmp7+9OLN/f52UBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dbd872b32367f2e89170c9aa5a0ee7d81b0292ca932867b0ff74b49f19650901","last_reissued_at":"2026-05-18T03:05:18.068506Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:18.068506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.4867","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":"2026-05-18T03:05:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M7Dgvs1n+kPBUWSJ5Rm3RaQ4Y+awsEumUs4w0ILaP0NRm/tYA6Qo6qT4i2Yo+WmlCCdaQNPRExgrG5VvNb5/Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:46:58.270412Z"},"content_sha256":"c4ca7986c4f7c7e4d857ab620eb02d79d96d805cc7d901bdeba262a757b4a5bb","schema_version":"1.0","event_id":"sha256:c4ca7986c4f7c7e4d857ab620eb02d79d96d805cc7d901bdeba262a757b4a5bb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:3PMHFMZDM7ZORELQZGVFUDXH3A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fisher-Hartwig expansion for the transverse correlation function in the XX spin-1/2 chain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"cond-mat.str-el","authors_text":"Alexander G. Abanov, Dmitri A. Ivanov","submitted_at":"2013-09-19T06:22:17Z","abstract_excerpt":"Motivated by the recent results on the asymptotic behavior of Toeplitz determinants with Fisher-Hartwig singularities, we develop an asymptotic expansion for transverse spin correlations in the XX spin-1/2 chain. The coefficients of the expansion can be calculated to any given order using the relation to discrete Painleve equations. We present explicit results up to eleventh order and compare them with a numerical example."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.4867","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":"2026-05-18T03:05:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xCa6vc6wkDs1h9Wml7jXfutUBstMMnTMWP4H0PEadkpoviVkm8KMlkd/VY4xtmcgKmJaPYII5H4dwSWAbrxBCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:46:58.271098Z"},"content_sha256":"45e325b9508e167f117ccc8d682c998383aa6bfe9c5454cbe89f63c82537fbe8","schema_version":"1.0","event_id":"sha256:45e325b9508e167f117ccc8d682c998383aa6bfe9c5454cbe89f63c82537fbe8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3PMHFMZDM7ZORELQZGVFUDXH3A/bundle.json","state_url":"https://pith.science/pith/3PMHFMZDM7ZORELQZGVFUDXH3A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3PMHFMZDM7ZORELQZGVFUDXH3A/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":"2026-05-25T15:46:58Z","links":{"resolver":"https://pith.science/pith/3PMHFMZDM7ZORELQZGVFUDXH3A","bundle":"https://pith.science/pith/3PMHFMZDM7ZORELQZGVFUDXH3A/bundle.json","state":"https://pith.science/pith/3PMHFMZDM7ZORELQZGVFUDXH3A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3PMHFMZDM7ZORELQZGVFUDXH3A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3PMHFMZDM7ZORELQZGVFUDXH3A","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":"94afe9e25e1bbe0679b1d73e48796588a63a9551e262e35cf81b69b45c8b0ae1","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-09-19T06:22:17Z","title_canon_sha256":"d8f977a9766d9989b6ef2311cdfd8a987653a6a340a794b23aa88274cc92d0b0"},"schema_version":"1.0","source":{"id":"1309.4867","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.4867","created_at":"2026-05-18T03:05:18Z"},{"alias_kind":"arxiv_version","alias_value":"1309.4867v1","created_at":"2026-05-18T03:05:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.4867","created_at":"2026-05-18T03:05:18Z"},{"alias_kind":"pith_short_12","alias_value":"3PMHFMZDM7ZO","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3PMHFMZDM7ZORELQ","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3PMHFMZD","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:45e325b9508e167f117ccc8d682c998383aa6bfe9c5454cbe89f63c82537fbe8","target":"graph","created_at":"2026-05-18T03:05:18Z","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":"Motivated by the recent results on the asymptotic behavior of Toeplitz determinants with Fisher-Hartwig singularities, we develop an asymptotic expansion for transverse spin correlations in the XX spin-1/2 chain. The coefficients of the expansion can be calculated to any given order using the relation to discrete Painleve equations. We present explicit results up to eleventh order and compare them with a numerical example.","authors_text":"Alexander G. Abanov, Dmitri A. Ivanov","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-09-19T06:22:17Z","title":"Fisher-Hartwig expansion for the transverse correlation function in the XX spin-1/2 chain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.4867","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:c4ca7986c4f7c7e4d857ab620eb02d79d96d805cc7d901bdeba262a757b4a5bb","target":"record","created_at":"2026-05-18T03:05:18Z","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":"94afe9e25e1bbe0679b1d73e48796588a63a9551e262e35cf81b69b45c8b0ae1","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-09-19T06:22:17Z","title_canon_sha256":"d8f977a9766d9989b6ef2311cdfd8a987653a6a340a794b23aa88274cc92d0b0"},"schema_version":"1.0","source":{"id":"1309.4867","kind":"arxiv","version":1}},"canonical_sha256":"dbd872b32367f2e89170c9aa5a0ee7d81b0292ca932867b0ff74b49f19650901","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dbd872b32367f2e89170c9aa5a0ee7d81b0292ca932867b0ff74b49f19650901","first_computed_at":"2026-05-18T03:05:18.068506Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:18.068506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nHB50I3t55pZK4tc4eHHfc6NIXp/6PPQjgwIH1HsYjRDaBNk/VcDJz0be9h1JJAyuX7RBotmp7+9OLN/f52UBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:18.069175Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.4867","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4ca7986c4f7c7e4d857ab620eb02d79d96d805cc7d901bdeba262a757b4a5bb","sha256:45e325b9508e167f117ccc8d682c998383aa6bfe9c5454cbe89f63c82537fbe8"],"state_sha256":"0e66a43f6522e77d66a7f48e6a7d16508dcf6a74e4142d798066ce26cad58914"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9QK217RNGnN6lB2LsflLZ+RKiyT8z+CXffN2+tM2QujTcca4HGlT95TMX3TK05LtRy6+EKDOGth221Yk8oNyAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T15:46:58.274876Z","bundle_sha256":"aedd86118a3e16492c7ffda636f0f0e02750bdfc9cde0c629d162c85852685f8"}}