{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:NTQE2W2WLOBYJUFTEDRM4MI3IS","short_pith_number":"pith:NTQE2W2W","canonical_record":{"source":{"id":"2205.01154","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-05-02T18:40:25Z","cross_cats_sorted":[],"title_canon_sha256":"ae93ca21f9bd2f5883ea5978ea7d5d40300c286913066e61d5e09e7325ef09f9","abstract_canon_sha256":"ae387899a195187f5c52ce88296b29a7134b94dc88b95ef10870145b8621e8da"},"schema_version":"1.0"},"canonical_sha256":"6ce04d5b565b8384d0b320e2ce311b44a13ab62315c2c194e28fbec7312b03d1","source":{"kind":"arxiv","id":"2205.01154","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.01154","created_at":"2026-07-05T04:48:50Z"},{"alias_kind":"arxiv_version","alias_value":"2205.01154v1","created_at":"2026-07-05T04:48:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.01154","created_at":"2026-07-05T04:48:50Z"},{"alias_kind":"pith_short_12","alias_value":"NTQE2W2WLOBY","created_at":"2026-07-05T04:48:50Z"},{"alias_kind":"pith_short_16","alias_value":"NTQE2W2WLOBYJUFT","created_at":"2026-07-05T04:48:50Z"},{"alias_kind":"pith_short_8","alias_value":"NTQE2W2W","created_at":"2026-07-05T04:48:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:NTQE2W2WLOBYJUFTEDRM4MI3IS","target":"record","payload":{"canonical_record":{"source":{"id":"2205.01154","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-05-02T18:40:25Z","cross_cats_sorted":[],"title_canon_sha256":"ae93ca21f9bd2f5883ea5978ea7d5d40300c286913066e61d5e09e7325ef09f9","abstract_canon_sha256":"ae387899a195187f5c52ce88296b29a7134b94dc88b95ef10870145b8621e8da"},"schema_version":"1.0"},"canonical_sha256":"6ce04d5b565b8384d0b320e2ce311b44a13ab62315c2c194e28fbec7312b03d1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:48:50.218373Z","signature_b64":"FPELhQBhK0PQinMrej82au9xpbvTETnHA2zI7EJogd+TyJ6FSnLJlrw/bo9tkK8CMfIfrBBH1QuVJ9i4pnScAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ce04d5b565b8384d0b320e2ce311b44a13ab62315c2c194e28fbec7312b03d1","last_reissued_at":"2026-07-05T04:48:50.217957Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:48:50.217957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2205.01154","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":"2026-07-05T04:48:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9PBdWy5mtpK7z3r28J/4KDQGNexCYJs7RS0mTLE+76/iLT2uVTCax8WhvZKW5QLHYj3sXCIsD45xe4WAxtpBDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T09:19:56.925993Z"},"content_sha256":"71aef5c6846a4d279058780bf44f87fccadf8b18f82da48930eb613d80633588","schema_version":"1.0","event_id":"sha256:71aef5c6846a4d279058780bf44f87fccadf8b18f82da48930eb613d80633588"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:NTQE2W2WLOBYJUFTEDRM4MI3IS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phonon-modulated-hopping Polarons: X-representation Technique","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Boris V. Svistunov, Nikolay V. Prokof'ev","submitted_at":"2022-05-02T18:40:25Z","abstract_excerpt":"Motivated by the problem of polaron effect due to phonon-modulated hopping, we formulate a generic Monte Carlo technique for solving it in the coordinate representation for both the particle and atomic displacements. The method applies to a broad class of models; the only condition is that the hopping amplitude be sign-positive. A dramatic simplification of the scheme, with the corresponding efficiency gain, takes place in models with dispersionless phonons. Our study sheds important light on the nature and universality of the most striking qualitative and quantitative effects demonstrated by "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.01154","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/2205.01154/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":"2026-07-05T04:48:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BFR9EGFsmdF8Rza7kx8JKOObfTSunn9PwIw/jeA0cUWiRoy7q2cA+HnVsElNuZIaiVA9QAl8wVtpBS4rBasUAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T09:19:56.926378Z"},"content_sha256":"eea387054676afb5f85229f07f38ecd5a3b73bc9afe93090c5de7223f5bdc299","schema_version":"1.0","event_id":"sha256:eea387054676afb5f85229f07f38ecd5a3b73bc9afe93090c5de7223f5bdc299"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NTQE2W2WLOBYJUFTEDRM4MI3IS/bundle.json","state_url":"https://pith.science/pith/NTQE2W2WLOBYJUFTEDRM4MI3IS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NTQE2W2WLOBYJUFTEDRM4MI3IS/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":"2026-07-07T09:19:56Z","links":{"resolver":"https://pith.science/pith/NTQE2W2WLOBYJUFTEDRM4MI3IS","bundle":"https://pith.science/pith/NTQE2W2WLOBYJUFTEDRM4MI3IS/bundle.json","state":"https://pith.science/pith/NTQE2W2WLOBYJUFTEDRM4MI3IS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NTQE2W2WLOBYJUFTEDRM4MI3IS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:NTQE2W2WLOBYJUFTEDRM4MI3IS","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":"ae387899a195187f5c52ce88296b29a7134b94dc88b95ef10870145b8621e8da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-05-02T18:40:25Z","title_canon_sha256":"ae93ca21f9bd2f5883ea5978ea7d5d40300c286913066e61d5e09e7325ef09f9"},"schema_version":"1.0","source":{"id":"2205.01154","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.01154","created_at":"2026-07-05T04:48:50Z"},{"alias_kind":"arxiv_version","alias_value":"2205.01154v1","created_at":"2026-07-05T04:48:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.01154","created_at":"2026-07-05T04:48:50Z"},{"alias_kind":"pith_short_12","alias_value":"NTQE2W2WLOBY","created_at":"2026-07-05T04:48:50Z"},{"alias_kind":"pith_short_16","alias_value":"NTQE2W2WLOBYJUFT","created_at":"2026-07-05T04:48:50Z"},{"alias_kind":"pith_short_8","alias_value":"NTQE2W2W","created_at":"2026-07-05T04:48:50Z"}],"graph_snapshots":[{"event_id":"sha256:eea387054676afb5f85229f07f38ecd5a3b73bc9afe93090c5de7223f5bdc299","target":"graph","created_at":"2026-07-05T04:48:50Z","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/2205.01154/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Motivated by the problem of polaron effect due to phonon-modulated hopping, we formulate a generic Monte Carlo technique for solving it in the coordinate representation for both the particle and atomic displacements. The method applies to a broad class of models; the only condition is that the hopping amplitude be sign-positive. A dramatic simplification of the scheme, with the corresponding efficiency gain, takes place in models with dispersionless phonons. Our study sheds important light on the nature and universality of the most striking qualitative and quantitative effects demonstrated by ","authors_text":"Boris V. Svistunov, Nikolay V. Prokof'ev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-05-02T18:40:25Z","title":"Phonon-modulated-hopping Polarons: X-representation Technique"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.01154","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":"sha256:71aef5c6846a4d279058780bf44f87fccadf8b18f82da48930eb613d80633588","target":"record","created_at":"2026-07-05T04:48:50Z","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":"ae387899a195187f5c52ce88296b29a7134b94dc88b95ef10870145b8621e8da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-05-02T18:40:25Z","title_canon_sha256":"ae93ca21f9bd2f5883ea5978ea7d5d40300c286913066e61d5e09e7325ef09f9"},"schema_version":"1.0","source":{"id":"2205.01154","kind":"arxiv","version":1}},"canonical_sha256":"6ce04d5b565b8384d0b320e2ce311b44a13ab62315c2c194e28fbec7312b03d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ce04d5b565b8384d0b320e2ce311b44a13ab62315c2c194e28fbec7312b03d1","first_computed_at":"2026-07-05T04:48:50.217957Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:48:50.217957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FPELhQBhK0PQinMrej82au9xpbvTETnHA2zI7EJogd+TyJ6FSnLJlrw/bo9tkK8CMfIfrBBH1QuVJ9i4pnScAw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:48:50.218373Z","signed_message":"canonical_sha256_bytes"},"source_id":"2205.01154","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:71aef5c6846a4d279058780bf44f87fccadf8b18f82da48930eb613d80633588","sha256:eea387054676afb5f85229f07f38ecd5a3b73bc9afe93090c5de7223f5bdc299"],"state_sha256":"75ee2368f4eeb6112a0916a093815656c79d35c18a25fd766b38b778bc06080b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2AwEKh5ncG8MWjCFVKhhnJA5h9yCQkywMkJHRHT28A62ZPjrx6DsE8cGYlRCPRlyvIQBTO4Divjl1IBiou63Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T09:19:56.928288Z","bundle_sha256":"fa27472746a54dced88fc9e58d01009e9f210be3a20d865f91a647ba0380455a"}}