{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:APOWW7H6SFXNH7AE4DFEXZI2FM","short_pith_number":"pith:APOWW7H6","canonical_record":{"source":{"id":"0805.2556","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-05-16T15:01:53Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"b0745f94f7c15e6c1d3f03ca3ae637dd00ac56b6da94a546d2a9a21c840b0feb","abstract_canon_sha256":"2d27086d83031b27af6260ad1887d4c90fefd9f1f9f7921ba14c4e15cfd6b6e1"},"schema_version":"1.0"},"canonical_sha256":"03dd6b7cfe916ed3fc04e0ca4be51a2b0299b2f2cb4a2f4e3e42568f27a13aff","source":{"kind":"arxiv","id":"0805.2556","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.2556","created_at":"2026-07-04T15:15:57Z"},{"alias_kind":"arxiv_version","alias_value":"0805.2556v1","created_at":"2026-07-04T15:15:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.2556","created_at":"2026-07-04T15:15:57Z"},{"alias_kind":"pith_short_12","alias_value":"APOWW7H6SFXN","created_at":"2026-07-04T15:15:57Z"},{"alias_kind":"pith_short_16","alias_value":"APOWW7H6SFXNH7AE","created_at":"2026-07-04T15:15:57Z"},{"alias_kind":"pith_short_8","alias_value":"APOWW7H6","created_at":"2026-07-04T15:15:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:APOWW7H6SFXNH7AE4DFEXZI2FM","target":"record","payload":{"canonical_record":{"source":{"id":"0805.2556","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-05-16T15:01:53Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"b0745f94f7c15e6c1d3f03ca3ae637dd00ac56b6da94a546d2a9a21c840b0feb","abstract_canon_sha256":"2d27086d83031b27af6260ad1887d4c90fefd9f1f9f7921ba14c4e15cfd6b6e1"},"schema_version":"1.0"},"canonical_sha256":"03dd6b7cfe916ed3fc04e0ca4be51a2b0299b2f2cb4a2f4e3e42568f27a13aff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:15:57.999525Z","signature_b64":"hfy6jT75Fxz9ecS+TnpxtMpUJGI+hwogPXmUtJoA2jqDGkYCoFk0oKw/OiJ4U/V9vzakNmIzE8RQjRosoX5ADw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"03dd6b7cfe916ed3fc04e0ca4be51a2b0299b2f2cb4a2f4e3e42568f27a13aff","last_reissued_at":"2026-07-04T15:15:57.999014Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:15:57.999014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0805.2556","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":"2026-07-04T15:15:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dfA7uWnoTffdApWgQevagllPGhkuEwFv/UPEcgS1fv2+0ynLFgJYzlCO+4SkB8aWaOpkVHX7wcvsppwk4hxaCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T08:03:46.784850Z"},"content_sha256":"543d0e06b40b9595e3f7d082091df529a031f40a19856e933941fb92e1395b12","schema_version":"1.0","event_id":"sha256:543d0e06b40b9595e3f7d082091df529a031f40a19856e933941fb92e1395b12"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:APOWW7H6SFXNH7AE4DFEXZI2FM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Trapping of lattice polarons by impurities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con"],"primary_cat":"cond-mat.str-el","authors_text":"A.S.Alexandrov, J.P.Hague, P.E.Kornilovitch","submitted_at":"2008-05-16T15:01:53Z","abstract_excerpt":"We consider the effects of single impurities on polarons in three-dimensions (3D) using a continuous time quantum Monte-Carlo algorithm. An exact treatment of the phonon degrees of freedom leads to a very efficient algorithm and we are able to compute the polaron dynamics on an infinite lattice using an auxiliary weighting scheme. The magnitude of the impurity potential, the electron-phonon coupling and the phonon frequency are varied. We determine the magnitude of the impurity potential required for polaron trapping. For small electron-phonon coupling the number of phonons increases dramatica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.2556","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/0805.2556/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":"2026-07-04T15:15:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xo+lGoQOtGdfD+vI2ACGzeD5eewiy/3vPeX/yET+6I6ega2QBn7mt7ROeEWY8vx+DsX1DLGJChpKnF/S4425CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T08:03:46.785220Z"},"content_sha256":"8f0298d9831f9e27bc411910ad006f81dd151e1a7befb9efb6194be51fa48464","schema_version":"1.0","event_id":"sha256:8f0298d9831f9e27bc411910ad006f81dd151e1a7befb9efb6194be51fa48464"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/APOWW7H6SFXNH7AE4DFEXZI2FM/bundle.json","state_url":"https://pith.science/pith/APOWW7H6SFXNH7AE4DFEXZI2FM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/APOWW7H6SFXNH7AE4DFEXZI2FM/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":"2026-07-05T08:03:46Z","links":{"resolver":"https://pith.science/pith/APOWW7H6SFXNH7AE4DFEXZI2FM","bundle":"https://pith.science/pith/APOWW7H6SFXNH7AE4DFEXZI2FM/bundle.json","state":"https://pith.science/pith/APOWW7H6SFXNH7AE4DFEXZI2FM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/APOWW7H6SFXNH7AE4DFEXZI2FM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:APOWW7H6SFXNH7AE4DFEXZI2FM","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":"2d27086d83031b27af6260ad1887d4c90fefd9f1f9f7921ba14c4e15cfd6b6e1","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-05-16T15:01:53Z","title_canon_sha256":"b0745f94f7c15e6c1d3f03ca3ae637dd00ac56b6da94a546d2a9a21c840b0feb"},"schema_version":"1.0","source":{"id":"0805.2556","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.2556","created_at":"2026-07-04T15:15:57Z"},{"alias_kind":"arxiv_version","alias_value":"0805.2556v1","created_at":"2026-07-04T15:15:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.2556","created_at":"2026-07-04T15:15:57Z"},{"alias_kind":"pith_short_12","alias_value":"APOWW7H6SFXN","created_at":"2026-07-04T15:15:57Z"},{"alias_kind":"pith_short_16","alias_value":"APOWW7H6SFXNH7AE","created_at":"2026-07-04T15:15:57Z"},{"alias_kind":"pith_short_8","alias_value":"APOWW7H6","created_at":"2026-07-04T15:15:57Z"}],"graph_snapshots":[{"event_id":"sha256:8f0298d9831f9e27bc411910ad006f81dd151e1a7befb9efb6194be51fa48464","target":"graph","created_at":"2026-07-04T15:15:57Z","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/0805.2556/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the effects of single impurities on polarons in three-dimensions (3D) using a continuous time quantum Monte-Carlo algorithm. An exact treatment of the phonon degrees of freedom leads to a very efficient algorithm and we are able to compute the polaron dynamics on an infinite lattice using an auxiliary weighting scheme. The magnitude of the impurity potential, the electron-phonon coupling and the phonon frequency are varied. We determine the magnitude of the impurity potential required for polaron trapping. For small electron-phonon coupling the number of phonons increases dramatica","authors_text":"A.S.Alexandrov, J.P.Hague, P.E.Kornilovitch","cross_cats":["cond-mat.supr-con"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-05-16T15:01:53Z","title":"Trapping of lattice polarons by impurities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.2556","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":"sha256:543d0e06b40b9595e3f7d082091df529a031f40a19856e933941fb92e1395b12","target":"record","created_at":"2026-07-04T15:15:57Z","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":"2d27086d83031b27af6260ad1887d4c90fefd9f1f9f7921ba14c4e15cfd6b6e1","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-05-16T15:01:53Z","title_canon_sha256":"b0745f94f7c15e6c1d3f03ca3ae637dd00ac56b6da94a546d2a9a21c840b0feb"},"schema_version":"1.0","source":{"id":"0805.2556","kind":"arxiv","version":1}},"canonical_sha256":"03dd6b7cfe916ed3fc04e0ca4be51a2b0299b2f2cb4a2f4e3e42568f27a13aff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"03dd6b7cfe916ed3fc04e0ca4be51a2b0299b2f2cb4a2f4e3e42568f27a13aff","first_computed_at":"2026-07-04T15:15:57.999014Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:15:57.999014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hfy6jT75Fxz9ecS+TnpxtMpUJGI+hwogPXmUtJoA2jqDGkYCoFk0oKw/OiJ4U/V9vzakNmIzE8RQjRosoX5ADw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:15:57.999525Z","signed_message":"canonical_sha256_bytes"},"source_id":"0805.2556","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:543d0e06b40b9595e3f7d082091df529a031f40a19856e933941fb92e1395b12","sha256:8f0298d9831f9e27bc411910ad006f81dd151e1a7befb9efb6194be51fa48464"],"state_sha256":"65606ecd132d26feed096db6ba674a10d17ffc639d11f7fa80a278a7ecd9dfe3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4AbZmwdbivaGMNoVSvSjSCMmhrcRkc2PD9ey1NsQEooMNVmpwD2BPb5KtIsmtIrQlFlNLvQYAxSwQ9XSD9LiAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T08:03:46.787080Z","bundle_sha256":"1419e1b95d971b308ca4740405603ded932bef62cd9854ac1c6260b98c89691f"}}