{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:STY7BZE5XQUWIOSBUFPLEB3VFW","short_pith_number":"pith:STY7BZE5","canonical_record":{"source":{"id":"1503.01835","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-03-06T02:42:37Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"2607da6da7ebc0bf5d74a881a1e81212fe08883f64867d87ef0bf5da3d5419a0","abstract_canon_sha256":"ac2b0b61edf17a834f375dc95e61d8f8c7345b86c4cb802c2857c18bc7cb1fe8"},"schema_version":"1.0"},"canonical_sha256":"94f1f0e49dbc29643a41a15eb207752dbde91b995de8bc44f0d8a6ea73f8f6c8","source":{"kind":"arxiv","id":"1503.01835","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.01835","created_at":"2026-05-18T01:25:24Z"},{"alias_kind":"arxiv_version","alias_value":"1503.01835v3","created_at":"2026-05-18T01:25:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01835","created_at":"2026-05-18T01:25:24Z"},{"alias_kind":"pith_short_12","alias_value":"STY7BZE5XQUW","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"STY7BZE5XQUWIOSB","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"STY7BZE5","created_at":"2026-05-18T12:29:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:STY7BZE5XQUWIOSBUFPLEB3VFW","target":"record","payload":{"canonical_record":{"source":{"id":"1503.01835","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-03-06T02:42:37Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"2607da6da7ebc0bf5d74a881a1e81212fe08883f64867d87ef0bf5da3d5419a0","abstract_canon_sha256":"ac2b0b61edf17a834f375dc95e61d8f8c7345b86c4cb802c2857c18bc7cb1fe8"},"schema_version":"1.0"},"canonical_sha256":"94f1f0e49dbc29643a41a15eb207752dbde91b995de8bc44f0d8a6ea73f8f6c8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:24.625465Z","signature_b64":"KkcROLohGbElCmVv8j9KYsgMJmimicqre4iCUk1bgysyzZb12poj/R98pzWatmGhKx/Lu8R9CMGz0t7z+tniCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94f1f0e49dbc29643a41a15eb207752dbde91b995de8bc44f0d8a6ea73f8f6c8","last_reissued_at":"2026-05-18T01:25:24.625006Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:24.625006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.01835","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":"2026-05-18T01:25:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FrFuMXJZ2uZtOWJB2IQcqHlS5RBidcUvU32V2s+L37jRo3o1qm3zSoUbMwZtRDUF3GP7eztQAL+tRJk6gVGGCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:08:37.432028Z"},"content_sha256":"669fe03c13b8e23aa316fa934b1a9712e2e6e3135b4f0fb7eb7e4af9187f5055","schema_version":"1.0","event_id":"sha256:669fe03c13b8e23aa316fa934b1a9712e2e6e3135b4f0fb7eb7e4af9187f5055"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:STY7BZE5XQUWIOSBUFPLEB3VFW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Construction by bosonization of a fermion-phonon model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Edwin Langmann, Per Moosavi","submitted_at":"2015-03-06T02:42:37Z","abstract_excerpt":"We discuss an extension of the (massless) Thirring model describing interacting fermions in one dimension which are coupled to phonons and where all interactions are local. This fermion-phonon model can be solved exactly by bosonization. We present a construction and solution of this model which is mathematically rigorous by treating it as a limit of a Luttinger-phonon model. A self-contained account of the mathematical results underlying bosonization is included, together with complete proofs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01835","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":""},"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":"2026-05-18T01:25:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HFBhmGO9SYqu8F9MWsT0bIt7MDFgTvZoOBnT8fR33TQupOJZv3GkmoxBbCTTU1ZCXhDez/2cN59ww6I2PUKhAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:08:37.432389Z"},"content_sha256":"d168e46f9ca71e03e696770efd6ed53d5c39d2682b8bbdf7b46563bbff732b2f","schema_version":"1.0","event_id":"sha256:d168e46f9ca71e03e696770efd6ed53d5c39d2682b8bbdf7b46563bbff732b2f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/STY7BZE5XQUWIOSBUFPLEB3VFW/bundle.json","state_url":"https://pith.science/pith/STY7BZE5XQUWIOSBUFPLEB3VFW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/STY7BZE5XQUWIOSBUFPLEB3VFW/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":"2026-05-28T13:08:37Z","links":{"resolver":"https://pith.science/pith/STY7BZE5XQUWIOSBUFPLEB3VFW","bundle":"https://pith.science/pith/STY7BZE5XQUWIOSBUFPLEB3VFW/bundle.json","state":"https://pith.science/pith/STY7BZE5XQUWIOSBUFPLEB3VFW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/STY7BZE5XQUWIOSBUFPLEB3VFW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:STY7BZE5XQUWIOSBUFPLEB3VFW","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":"ac2b0b61edf17a834f375dc95e61d8f8c7345b86c4cb802c2857c18bc7cb1fe8","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-03-06T02:42:37Z","title_canon_sha256":"2607da6da7ebc0bf5d74a881a1e81212fe08883f64867d87ef0bf5da3d5419a0"},"schema_version":"1.0","source":{"id":"1503.01835","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.01835","created_at":"2026-05-18T01:25:24Z"},{"alias_kind":"arxiv_version","alias_value":"1503.01835v3","created_at":"2026-05-18T01:25:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01835","created_at":"2026-05-18T01:25:24Z"},{"alias_kind":"pith_short_12","alias_value":"STY7BZE5XQUW","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"STY7BZE5XQUWIOSB","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"STY7BZE5","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:d168e46f9ca71e03e696770efd6ed53d5c39d2682b8bbdf7b46563bbff732b2f","target":"graph","created_at":"2026-05-18T01:25:24Z","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 discuss an extension of the (massless) Thirring model describing interacting fermions in one dimension which are coupled to phonons and where all interactions are local. This fermion-phonon model can be solved exactly by bosonization. We present a construction and solution of this model which is mathematically rigorous by treating it as a limit of a Luttinger-phonon model. A self-contained account of the mathematical results underlying bosonization is included, together with complete proofs.","authors_text":"Edwin Langmann, Per Moosavi","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-03-06T02:42:37Z","title":"Construction by bosonization of a fermion-phonon model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01835","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":"sha256:669fe03c13b8e23aa316fa934b1a9712e2e6e3135b4f0fb7eb7e4af9187f5055","target":"record","created_at":"2026-05-18T01:25:24Z","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":"ac2b0b61edf17a834f375dc95e61d8f8c7345b86c4cb802c2857c18bc7cb1fe8","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-03-06T02:42:37Z","title_canon_sha256":"2607da6da7ebc0bf5d74a881a1e81212fe08883f64867d87ef0bf5da3d5419a0"},"schema_version":"1.0","source":{"id":"1503.01835","kind":"arxiv","version":3}},"canonical_sha256":"94f1f0e49dbc29643a41a15eb207752dbde91b995de8bc44f0d8a6ea73f8f6c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94f1f0e49dbc29643a41a15eb207752dbde91b995de8bc44f0d8a6ea73f8f6c8","first_computed_at":"2026-05-18T01:25:24.625006Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:24.625006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KkcROLohGbElCmVv8j9KYsgMJmimicqre4iCUk1bgysyzZb12poj/R98pzWatmGhKx/Lu8R9CMGz0t7z+tniCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:24.625465Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.01835","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:669fe03c13b8e23aa316fa934b1a9712e2e6e3135b4f0fb7eb7e4af9187f5055","sha256:d168e46f9ca71e03e696770efd6ed53d5c39d2682b8bbdf7b46563bbff732b2f"],"state_sha256":"0f3d9ad783773346a5428ab607ffd37f420f5d0f45b9dc4af0456b0f47c3d5bf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O2LxgKfnuAiv/dYxfhTmPOHBipm4geNV6ortJplWqiAvpYdOgsMCaXw17sUiX2D79SFj6bosZBZZ6mdpGDM4DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T13:08:37.435975Z","bundle_sha256":"eda9693fe051de8c7fe4e39bfc7d055e9475ac45a4e349df27c6c6724e3108cb"}}