{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:67N2YHE2D5ARG7GIOMDSKSXMV7","short_pith_number":"pith:67N2YHE2","canonical_record":{"source":{"id":"1506.03200","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-06-10T07:53:43Z","cross_cats_sorted":[],"title_canon_sha256":"abb1436b978b12bdceda27ed76db6f01efb143da03d42c4d53b251ac43b33608","abstract_canon_sha256":"81a3e3d769a8542fd8346e2d66414d5c9693d845830b3d3f43b4746a40e89119"},"schema_version":"1.0"},"canonical_sha256":"f7dbac1c9a1f41137cc87307254aecafe8d9585d3d9f76deaa1279697473cde2","source":{"kind":"arxiv","id":"1506.03200","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.03200","created_at":"2026-05-18T01:55:31Z"},{"alias_kind":"arxiv_version","alias_value":"1506.03200v1","created_at":"2026-05-18T01:55:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.03200","created_at":"2026-05-18T01:55:31Z"},{"alias_kind":"pith_short_12","alias_value":"67N2YHE2D5AR","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"67N2YHE2D5ARG7GI","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"67N2YHE2","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:67N2YHE2D5ARG7GIOMDSKSXMV7","target":"record","payload":{"canonical_record":{"source":{"id":"1506.03200","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-06-10T07:53:43Z","cross_cats_sorted":[],"title_canon_sha256":"abb1436b978b12bdceda27ed76db6f01efb143da03d42c4d53b251ac43b33608","abstract_canon_sha256":"81a3e3d769a8542fd8346e2d66414d5c9693d845830b3d3f43b4746a40e89119"},"schema_version":"1.0"},"canonical_sha256":"f7dbac1c9a1f41137cc87307254aecafe8d9585d3d9f76deaa1279697473cde2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:55:31.280504Z","signature_b64":"pcV+38HmFFVfy+OdBmP1JwNpbuYOeSwBJS3p9VU8samgE1QEvGlOl6uXdTBbSKZCb2CZxWsuICednpL1CcV+Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f7dbac1c9a1f41137cc87307254aecafe8d9585d3d9f76deaa1279697473cde2","last_reissued_at":"2026-05-18T01:55:31.279903Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:55:31.279903Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.03200","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":"2026-05-18T01:55:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YkWajxT3V0YbKlGFeifNZP+ny2Gp+ALgafamL/X/1+ct+JqhuJba2lCIxfQPiSy6a2h2Tk7evfLuCR28KPxJCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T17:17:43.102840Z"},"content_sha256":"3b015d8d5d7b38c4de3816fd0be0f6cd296c14795ea24ec9d6b318479c5e9932","schema_version":"1.0","event_id":"sha256:3b015d8d5d7b38c4de3816fd0be0f6cd296c14795ea24ec9d6b318479c5e9932"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:67N2YHE2D5ARG7GIOMDSKSXMV7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermodynamics of weakly coupled Falicov-Kimball chains from renormalization-group theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Jozef Sznajd","submitted_at":"2015-06-10T07:53:43Z","abstract_excerpt":"The linear perturbation renormalization group is used to study spinless two-band fermion chains at half-filling. The model consists of two species of spinless fermions, namely localized f and extended p, and it takes into account the following: the kinetic energy of fermions p, the on-site Coulomb repulsion V between p and f fermions, chemical potentials {\\mu}p and {\\mu}f adjusted in such a way that the average of the site occupation = 1, and a weak interchain hopping tx . The average occupation number, the specific heat, and the correlation functions are studied as functions of temperature. F"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.03200","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":"2026-05-18T01:55:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p/zYlFgjWFyyCxKkgzTqskLHapEcwQ8fst4L7oTLBR5S/UyDnS4VcANdg2InnkSLahZdxkeMBHdptLbCXsIpBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T17:17:43.103603Z"},"content_sha256":"0cd763d05e39af0113068188beca4d3f5a2832e4a330e6a7bbddf1f9bc776af3","schema_version":"1.0","event_id":"sha256:0cd763d05e39af0113068188beca4d3f5a2832e4a330e6a7bbddf1f9bc776af3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/67N2YHE2D5ARG7GIOMDSKSXMV7/bundle.json","state_url":"https://pith.science/pith/67N2YHE2D5ARG7GIOMDSKSXMV7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/67N2YHE2D5ARG7GIOMDSKSXMV7/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":"2026-06-08T17:17:43Z","links":{"resolver":"https://pith.science/pith/67N2YHE2D5ARG7GIOMDSKSXMV7","bundle":"https://pith.science/pith/67N2YHE2D5ARG7GIOMDSKSXMV7/bundle.json","state":"https://pith.science/pith/67N2YHE2D5ARG7GIOMDSKSXMV7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/67N2YHE2D5ARG7GIOMDSKSXMV7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:67N2YHE2D5ARG7GIOMDSKSXMV7","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":"81a3e3d769a8542fd8346e2d66414d5c9693d845830b3d3f43b4746a40e89119","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-06-10T07:53:43Z","title_canon_sha256":"abb1436b978b12bdceda27ed76db6f01efb143da03d42c4d53b251ac43b33608"},"schema_version":"1.0","source":{"id":"1506.03200","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.03200","created_at":"2026-05-18T01:55:31Z"},{"alias_kind":"arxiv_version","alias_value":"1506.03200v1","created_at":"2026-05-18T01:55:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.03200","created_at":"2026-05-18T01:55:31Z"},{"alias_kind":"pith_short_12","alias_value":"67N2YHE2D5AR","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"67N2YHE2D5ARG7GI","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"67N2YHE2","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:0cd763d05e39af0113068188beca4d3f5a2832e4a330e6a7bbddf1f9bc776af3","target":"graph","created_at":"2026-05-18T01:55:31Z","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":"The linear perturbation renormalization group is used to study spinless two-band fermion chains at half-filling. The model consists of two species of spinless fermions, namely localized f and extended p, and it takes into account the following: the kinetic energy of fermions p, the on-site Coulomb repulsion V between p and f fermions, chemical potentials {\\mu}p and {\\mu}f adjusted in such a way that the average of the site occupation = 1, and a weak interchain hopping tx . The average occupation number, the specific heat, and the correlation functions are studied as functions of temperature. F","authors_text":"Jozef Sznajd","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-06-10T07:53:43Z","title":"Thermodynamics of weakly coupled Falicov-Kimball chains from renormalization-group theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.03200","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":"sha256:3b015d8d5d7b38c4de3816fd0be0f6cd296c14795ea24ec9d6b318479c5e9932","target":"record","created_at":"2026-05-18T01:55:31Z","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":"81a3e3d769a8542fd8346e2d66414d5c9693d845830b3d3f43b4746a40e89119","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-06-10T07:53:43Z","title_canon_sha256":"abb1436b978b12bdceda27ed76db6f01efb143da03d42c4d53b251ac43b33608"},"schema_version":"1.0","source":{"id":"1506.03200","kind":"arxiv","version":1}},"canonical_sha256":"f7dbac1c9a1f41137cc87307254aecafe8d9585d3d9f76deaa1279697473cde2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f7dbac1c9a1f41137cc87307254aecafe8d9585d3d9f76deaa1279697473cde2","first_computed_at":"2026-05-18T01:55:31.279903Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:55:31.279903Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pcV+38HmFFVfy+OdBmP1JwNpbuYOeSwBJS3p9VU8samgE1QEvGlOl6uXdTBbSKZCb2CZxWsuICednpL1CcV+Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:55:31.280504Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.03200","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b015d8d5d7b38c4de3816fd0be0f6cd296c14795ea24ec9d6b318479c5e9932","sha256:0cd763d05e39af0113068188beca4d3f5a2832e4a330e6a7bbddf1f9bc776af3"],"state_sha256":"10d10482ba9e85b5db6b8bb6d26d3403aa8a13a8d5ce2fb8332c1b4a9c3f15e6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gU77KZ0r39c3D7gat2LjEkBHYsxb2LpfHVs8JE0n0h7jJGN2iGcPVgA8/eorXAjeE7vpOqBskByTF+eGUztxAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T17:17:43.107739Z","bundle_sha256":"ed29c6d9045802d5c2c89ce968ac198ffe2c39bc93bd6144e125485df18073cf"}}