{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1992:OMELTEBPHX2ODVRJ3BTNTOJGDV","short_pith_number":"pith:OMELTEBP","canonical_record":{"source":{"id":"cond-mat/9209030","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1992-09-23T21:28:25Z","cross_cats_sorted":[],"title_canon_sha256":"fcf94784417f1f152541291ea4323c566cb65020212471486b0657e0f8a0f193","abstract_canon_sha256":"50ba14afbc389164c0915d42692a93266bc95259edb79f3c62c9086500d2d234"},"schema_version":"1.0"},"canonical_sha256":"7308b9902f3df4e1d629d866d9b9261d4daeeb3503f6c9879310996e3bb6b236","source":{"kind":"arxiv","id":"cond-mat/9209030","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9209030","created_at":"2026-07-04T15:54:49Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9209030v1","created_at":"2026-07-04T15:54:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9209030","created_at":"2026-07-04T15:54:49Z"},{"alias_kind":"pith_short_12","alias_value":"OMELTEBPHX2O","created_at":"2026-07-04T15:54:49Z"},{"alias_kind":"pith_short_16","alias_value":"OMELTEBPHX2ODVRJ","created_at":"2026-07-04T15:54:49Z"},{"alias_kind":"pith_short_8","alias_value":"OMELTEBP","created_at":"2026-07-04T15:54:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1992:OMELTEBPHX2ODVRJ3BTNTOJGDV","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/9209030","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1992-09-23T21:28:25Z","cross_cats_sorted":[],"title_canon_sha256":"fcf94784417f1f152541291ea4323c566cb65020212471486b0657e0f8a0f193","abstract_canon_sha256":"50ba14afbc389164c0915d42692a93266bc95259edb79f3c62c9086500d2d234"},"schema_version":"1.0"},"canonical_sha256":"7308b9902f3df4e1d629d866d9b9261d4daeeb3503f6c9879310996e3bb6b236","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:54:49.244559Z","signature_b64":"uHwzEHo4Za0aBTZthfjzKWV5iyA67wskgsMYjA37cPhNOg87UpRRJ7d+VlkCqe1SqZLNjaPu11Y8EmzlErnpBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7308b9902f3df4e1d629d866d9b9261d4daeeb3503f6c9879310996e3bb6b236","last_reissued_at":"2026-07-04T15:54:49.244200Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:54:49.244200Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/9209030","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":"2026-07-04T15:54:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MSVGPRhp5TfqNTzLvEa/cEgv9scmASq5CCt/rwqJVkN2b/Or+GH9LRffK0DbYPeXvgEaVgXDLQVbPgWnSnPJCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T06:55:27.940116Z"},"content_sha256":"3734fffc4963014023e092a5696676005977d21416f6389a918fbe8c4eea300e","schema_version":"1.0","event_id":"sha256:3734fffc4963014023e092a5696676005977d21416f6389a918fbe8c4eea300e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1992:OMELTEBPHX2ODVRJ3BTNTOJGDV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An alternative approach for the dynamics of polarons in one dimension","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"A.H.Castro Neto, A.O.Caldeira","submitted_at":"1992-09-23T21:28:25Z","abstract_excerpt":"We developed a new method based on functional integration to treat the dynamics of polarons in one-dimensional systems. We treat the acoustical and the optical case in an unified manner, showing their differences and similarities. The mobility and diffusion coefficients are calculated in the Markovian approximation in the strong coupling limit."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9209030","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/9209030/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:54:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JGeLxAxFgQUKSjAp+avFlUyL+PcdyhygnBmilJlorcX9ZL1kk7Xl1XRbzHM/XbsWs1rbGVeZIFsYlsc9zIuoCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T06:55:27.940500Z"},"content_sha256":"6df0e6a26945644c8da4bbd58fa623e85971f026ef2eda19889a32187a52bb70","schema_version":"1.0","event_id":"sha256:6df0e6a26945644c8da4bbd58fa623e85971f026ef2eda19889a32187a52bb70"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OMELTEBPHX2ODVRJ3BTNTOJGDV/bundle.json","state_url":"https://pith.science/pith/OMELTEBPHX2ODVRJ3BTNTOJGDV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OMELTEBPHX2ODVRJ3BTNTOJGDV/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":"2026-07-05T06:55:27Z","links":{"resolver":"https://pith.science/pith/OMELTEBPHX2ODVRJ3BTNTOJGDV","bundle":"https://pith.science/pith/OMELTEBPHX2ODVRJ3BTNTOJGDV/bundle.json","state":"https://pith.science/pith/OMELTEBPHX2ODVRJ3BTNTOJGDV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OMELTEBPHX2ODVRJ3BTNTOJGDV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1992:OMELTEBPHX2ODVRJ3BTNTOJGDV","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":"50ba14afbc389164c0915d42692a93266bc95259edb79f3c62c9086500d2d234","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1992-09-23T21:28:25Z","title_canon_sha256":"fcf94784417f1f152541291ea4323c566cb65020212471486b0657e0f8a0f193"},"schema_version":"1.0","source":{"id":"cond-mat/9209030","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9209030","created_at":"2026-07-04T15:54:49Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9209030v1","created_at":"2026-07-04T15:54:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9209030","created_at":"2026-07-04T15:54:49Z"},{"alias_kind":"pith_short_12","alias_value":"OMELTEBPHX2O","created_at":"2026-07-04T15:54:49Z"},{"alias_kind":"pith_short_16","alias_value":"OMELTEBPHX2ODVRJ","created_at":"2026-07-04T15:54:49Z"},{"alias_kind":"pith_short_8","alias_value":"OMELTEBP","created_at":"2026-07-04T15:54:49Z"}],"graph_snapshots":[{"event_id":"sha256:6df0e6a26945644c8da4bbd58fa623e85971f026ef2eda19889a32187a52bb70","target":"graph","created_at":"2026-07-04T15:54:49Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cond-mat/9209030/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We developed a new method based on functional integration to treat the dynamics of polarons in one-dimensional systems. We treat the acoustical and the optical case in an unified manner, showing their differences and similarities. The mobility and diffusion coefficients are calculated in the Markovian approximation in the strong coupling limit.","authors_text":"A.H.Castro Neto, A.O.Caldeira","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"1992-09-23T21:28:25Z","title":"An alternative approach for the dynamics of polarons in one dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9209030","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":"sha256:3734fffc4963014023e092a5696676005977d21416f6389a918fbe8c4eea300e","target":"record","created_at":"2026-07-04T15:54:49Z","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":"50ba14afbc389164c0915d42692a93266bc95259edb79f3c62c9086500d2d234","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1992-09-23T21:28:25Z","title_canon_sha256":"fcf94784417f1f152541291ea4323c566cb65020212471486b0657e0f8a0f193"},"schema_version":"1.0","source":{"id":"cond-mat/9209030","kind":"arxiv","version":1}},"canonical_sha256":"7308b9902f3df4e1d629d866d9b9261d4daeeb3503f6c9879310996e3bb6b236","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7308b9902f3df4e1d629d866d9b9261d4daeeb3503f6c9879310996e3bb6b236","first_computed_at":"2026-07-04T15:54:49.244200Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:54:49.244200Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uHwzEHo4Za0aBTZthfjzKWV5iyA67wskgsMYjA37cPhNOg87UpRRJ7d+VlkCqe1SqZLNjaPu11Y8EmzlErnpBw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:54:49.244559Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9209030","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3734fffc4963014023e092a5696676005977d21416f6389a918fbe8c4eea300e","sha256:6df0e6a26945644c8da4bbd58fa623e85971f026ef2eda19889a32187a52bb70"],"state_sha256":"e4766e1d564c040bb3c6aec90abef333ec766ffa0d03526b2684d30743ccff43"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7AzJF0a/gUTvWggjjeWphP4MtbN/byBIpcMewr3+MdSC1sO8D1v2FKD4xHbYVMcdW70kxmx7SKf5qVyhMeCgCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T06:55:27.942450Z","bundle_sha256":"947f8eab32b8af87c929dad9b1effbf323f79ab1194a86f6ed5faa15135b1aa9"}}