{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:HFA2SKCXP7J4JGLOQMM7M7V4YB","short_pith_number":"pith:HFA2SKCX","canonical_record":{"source":{"id":"1701.08057","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-01-27T14:12:17Z","cross_cats_sorted":[],"title_canon_sha256":"3f3e2c8e1b94043d2f8d27a9149498419bd0d9e2fef92afa7746c5a35243fdc4","abstract_canon_sha256":"917f91fa667117542649900ca527967cf8dd742251939d76bf4a9f3d9967faa7"},"schema_version":"1.0"},"canonical_sha256":"3941a928577fd3c4996e8319f67ebcc04df40e1089eaeb8c6e9c880e7396f942","source":{"kind":"arxiv","id":"1701.08057","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.08057","created_at":"2026-05-18T00:45:06Z"},{"alias_kind":"arxiv_version","alias_value":"1701.08057v2","created_at":"2026-05-18T00:45:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.08057","created_at":"2026-05-18T00:45:06Z"},{"alias_kind":"pith_short_12","alias_value":"HFA2SKCXP7J4","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HFA2SKCXP7J4JGLO","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HFA2SKCX","created_at":"2026-05-18T12:31:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:HFA2SKCXP7J4JGLOQMM7M7V4YB","target":"record","payload":{"canonical_record":{"source":{"id":"1701.08057","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-01-27T14:12:17Z","cross_cats_sorted":[],"title_canon_sha256":"3f3e2c8e1b94043d2f8d27a9149498419bd0d9e2fef92afa7746c5a35243fdc4","abstract_canon_sha256":"917f91fa667117542649900ca527967cf8dd742251939d76bf4a9f3d9967faa7"},"schema_version":"1.0"},"canonical_sha256":"3941a928577fd3c4996e8319f67ebcc04df40e1089eaeb8c6e9c880e7396f942","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:06.173681Z","signature_b64":"gZPigXypOv9Tuh7/KVjPOGqkb9iZXEu4VFkgnYTEvCIN6Me6mChF4jwCkkFwIMMArEromFnMBxQlZhxSht5uAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3941a928577fd3c4996e8319f67ebcc04df40e1089eaeb8c6e9c880e7396f942","last_reissued_at":"2026-05-18T00:45:06.173311Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:06.173311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.08057","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":"2026-05-18T00:45:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RmfVglNWwZ43JWcZVhgPFhhtpTj4SkeT0u5sb7fRBES2soaFmu9b/Zi+w03G47Hm7Xj+JtPlXym3K/458PHhCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:50:40.429586Z"},"content_sha256":"e450a46e6365a1e2a385f71276dd856345c695f8157f53a22095d31e66d34e16","schema_version":"1.0","event_id":"sha256:e450a46e6365a1e2a385f71276dd856345c695f8157f53a22095d31e66d34e16"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:HFA2SKCXP7J4JGLOQMM7M7V4YB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Level crossings induced by a longitudinal coupling in the transverse field Ising chain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Brijesh Kumar, Fr\\'ed\\'eric Mila, Gr\\'egoire Vionnet","submitted_at":"2017-01-27T14:12:17Z","abstract_excerpt":"We study the effect of antiferromagnetic longitudinal coupling on the one-dimensional transverse field Ising model with nearest-neighbour couplings. In the topological phase where, in the thermodynamic limit, the ground state is twofold degenerate, we show that, for a finite system of N sites, the longitudinal coupling induces N level crossings between the two lowest lying states as a function of the field. We also provide strong arguments suggesting that these N level crossings all appear simultaneously as soon as the longitudinal coupling is switched on. This conclusion is based on perturbat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.08057","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":""},"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":"2026-05-18T00:45:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m9vtOzgpwbGZNtaRhzFxW5m699W0OiN2a7gjkNJyXie4HaWzSABlaNyQKuzKBFSAVXXKFur0MXCvyDe8121lCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:50:40.430180Z"},"content_sha256":"243ea5ec7b6ad32f5fdd01f296475fc78a5153e293b375f6bd3cc1361c3a99b2","schema_version":"1.0","event_id":"sha256:243ea5ec7b6ad32f5fdd01f296475fc78a5153e293b375f6bd3cc1361c3a99b2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HFA2SKCXP7J4JGLOQMM7M7V4YB/bundle.json","state_url":"https://pith.science/pith/HFA2SKCXP7J4JGLOQMM7M7V4YB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HFA2SKCXP7J4JGLOQMM7M7V4YB/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":"2026-06-05T20:50:40Z","links":{"resolver":"https://pith.science/pith/HFA2SKCXP7J4JGLOQMM7M7V4YB","bundle":"https://pith.science/pith/HFA2SKCXP7J4JGLOQMM7M7V4YB/bundle.json","state":"https://pith.science/pith/HFA2SKCXP7J4JGLOQMM7M7V4YB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HFA2SKCXP7J4JGLOQMM7M7V4YB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HFA2SKCXP7J4JGLOQMM7M7V4YB","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":"917f91fa667117542649900ca527967cf8dd742251939d76bf4a9f3d9967faa7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-01-27T14:12:17Z","title_canon_sha256":"3f3e2c8e1b94043d2f8d27a9149498419bd0d9e2fef92afa7746c5a35243fdc4"},"schema_version":"1.0","source":{"id":"1701.08057","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.08057","created_at":"2026-05-18T00:45:06Z"},{"alias_kind":"arxiv_version","alias_value":"1701.08057v2","created_at":"2026-05-18T00:45:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.08057","created_at":"2026-05-18T00:45:06Z"},{"alias_kind":"pith_short_12","alias_value":"HFA2SKCXP7J4","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HFA2SKCXP7J4JGLO","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HFA2SKCX","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:243ea5ec7b6ad32f5fdd01f296475fc78a5153e293b375f6bd3cc1361c3a99b2","target":"graph","created_at":"2026-05-18T00:45:06Z","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 study the effect of antiferromagnetic longitudinal coupling on the one-dimensional transverse field Ising model with nearest-neighbour couplings. In the topological phase where, in the thermodynamic limit, the ground state is twofold degenerate, we show that, for a finite system of N sites, the longitudinal coupling induces N level crossings between the two lowest lying states as a function of the field. We also provide strong arguments suggesting that these N level crossings all appear simultaneously as soon as the longitudinal coupling is switched on. This conclusion is based on perturbat","authors_text":"Brijesh Kumar, Fr\\'ed\\'eric Mila, Gr\\'egoire Vionnet","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-01-27T14:12:17Z","title":"Level crossings induced by a longitudinal coupling in the transverse field Ising chain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.08057","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:e450a46e6365a1e2a385f71276dd856345c695f8157f53a22095d31e66d34e16","target":"record","created_at":"2026-05-18T00:45:06Z","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":"917f91fa667117542649900ca527967cf8dd742251939d76bf4a9f3d9967faa7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-01-27T14:12:17Z","title_canon_sha256":"3f3e2c8e1b94043d2f8d27a9149498419bd0d9e2fef92afa7746c5a35243fdc4"},"schema_version":"1.0","source":{"id":"1701.08057","kind":"arxiv","version":2}},"canonical_sha256":"3941a928577fd3c4996e8319f67ebcc04df40e1089eaeb8c6e9c880e7396f942","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3941a928577fd3c4996e8319f67ebcc04df40e1089eaeb8c6e9c880e7396f942","first_computed_at":"2026-05-18T00:45:06.173311Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:06.173311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gZPigXypOv9Tuh7/KVjPOGqkb9iZXEu4VFkgnYTEvCIN6Me6mChF4jwCkkFwIMMArEromFnMBxQlZhxSht5uAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:06.173681Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.08057","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e450a46e6365a1e2a385f71276dd856345c695f8157f53a22095d31e66d34e16","sha256:243ea5ec7b6ad32f5fdd01f296475fc78a5153e293b375f6bd3cc1361c3a99b2"],"state_sha256":"b325decb28374919bd52bb7a2c4cf0863ba0dc4b31a3a84ce82e400719e39ab9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NeRfz50Sp5WlH4z0zYCuAiRRRXsZMTn8P8WeD8zrICIBJaVaODbdh1592aokaVr5evT3Ydka3B9DyX+QDLxsBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T20:50:40.433417Z","bundle_sha256":"aa24211765408f5bc43d2799829434607565d7bf5af8cc5ff1574fd8166e1e4c"}}