{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:VCRUKTJG4L5WW4NRJX2CSDJNHK","short_pith_number":"pith:VCRUKTJG","canonical_record":{"source":{"id":"0910.5618","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-10-29T15:03:47Z","cross_cats_sorted":[],"title_canon_sha256":"cd4a2ab9b8770d1fd3f447f584bd8f44927da441dbad010db5fb5a95ef40c02f","abstract_canon_sha256":"d868f1be05edde2baa87857b054dad59dadbc14b2a76fb1cfcf80c5a8e9bdedf"},"schema_version":"1.0"},"canonical_sha256":"a8a3454d26e2fb6b71b14df4290d2d3abc41f6b79be140243e07f3b2b146b5da","source":{"kind":"arxiv","id":"0910.5618","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.5618","created_at":"2026-05-18T03:55:22Z"},{"alias_kind":"arxiv_version","alias_value":"0910.5618v1","created_at":"2026-05-18T03:55:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.5618","created_at":"2026-05-18T03:55:22Z"},{"alias_kind":"pith_short_12","alias_value":"VCRUKTJG4L5W","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"VCRUKTJG4L5WW4NR","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"VCRUKTJG","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:VCRUKTJG4L5WW4NRJX2CSDJNHK","target":"record","payload":{"canonical_record":{"source":{"id":"0910.5618","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-10-29T15:03:47Z","cross_cats_sorted":[],"title_canon_sha256":"cd4a2ab9b8770d1fd3f447f584bd8f44927da441dbad010db5fb5a95ef40c02f","abstract_canon_sha256":"d868f1be05edde2baa87857b054dad59dadbc14b2a76fb1cfcf80c5a8e9bdedf"},"schema_version":"1.0"},"canonical_sha256":"a8a3454d26e2fb6b71b14df4290d2d3abc41f6b79be140243e07f3b2b146b5da","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:22.151600Z","signature_b64":"nNQifKQoWuonCYQakN/RqSnIqw6bYlpoTSZ2B1waV0zyTREFzfx87MCcGlsWma/o5L33WFPGDZDsGFU38Wl1AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8a3454d26e2fb6b71b14df4290d2d3abc41f6b79be140243e07f3b2b146b5da","last_reissued_at":"2026-05-18T03:55:22.150827Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:22.150827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0910.5618","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":"2026-05-18T03:55:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O/Kzqlu3Qzs7N3JktEvB00ocB6HYv3vOZemD6mDu96cITjj06PvmG6X0zQu7d6ak/cdOGZXM+0g9H47Y6QLeCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T17:24:30.052252Z"},"content_sha256":"d000dc916a62824f33220e17b5a76acd620366d8a2341b7aa2f12cce8d70ca93","schema_version":"1.0","event_id":"sha256:d000dc916a62824f33220e17b5a76acd620366d8a2341b7aa2f12cce8d70ca93"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:VCRUKTJG4L5WW4NRJX2CSDJNHK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phonon renormalization from local and transitive electron-lattice couplings in strongly correlated systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"A. Di Ciolo, E. von Oelsen, G. Seibold, J. Lorenzana, M. Grilli","submitted_at":"2009-10-29T15:03:47Z","abstract_excerpt":"Within the time-dependent Gutzwiller approximation (TDGA) applied to Holstein- and SSH-Hubbard models we study the influence of electron correlations on the phonon self-energy. For the local Holstein coupling we find that the phonon frequency renormalization gets weakened upon increasing the onsite interaction $U$ for all momenta. In contrast, correlations can enhance the phonon frequency shift for small wave-vectors in the SSH-Hubbard model. Moreover the TDGA applied to the latter model provides a mechanism which leads to phonon frequency corrections at intermediate momenta due to the couplin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.5618","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":"2026-05-18T03:55:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N9CduhrRgCc672gfG8iZc6SKZCNM7lHUGSdjiupnd7xGk8lVFXUCppSr70jwzeAQbxpBNGdzFzsPaEcY3fM9Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T17:24:30.052917Z"},"content_sha256":"b24c2620238a99962593f4b60fc4348f2946683357e1afab028af6563af262ec","schema_version":"1.0","event_id":"sha256:b24c2620238a99962593f4b60fc4348f2946683357e1afab028af6563af262ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VCRUKTJG4L5WW4NRJX2CSDJNHK/bundle.json","state_url":"https://pith.science/pith/VCRUKTJG4L5WW4NRJX2CSDJNHK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VCRUKTJG4L5WW4NRJX2CSDJNHK/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":"2026-05-29T17:24:30Z","links":{"resolver":"https://pith.science/pith/VCRUKTJG4L5WW4NRJX2CSDJNHK","bundle":"https://pith.science/pith/VCRUKTJG4L5WW4NRJX2CSDJNHK/bundle.json","state":"https://pith.science/pith/VCRUKTJG4L5WW4NRJX2CSDJNHK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VCRUKTJG4L5WW4NRJX2CSDJNHK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:VCRUKTJG4L5WW4NRJX2CSDJNHK","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":"d868f1be05edde2baa87857b054dad59dadbc14b2a76fb1cfcf80c5a8e9bdedf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-10-29T15:03:47Z","title_canon_sha256":"cd4a2ab9b8770d1fd3f447f584bd8f44927da441dbad010db5fb5a95ef40c02f"},"schema_version":"1.0","source":{"id":"0910.5618","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.5618","created_at":"2026-05-18T03:55:22Z"},{"alias_kind":"arxiv_version","alias_value":"0910.5618v1","created_at":"2026-05-18T03:55:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.5618","created_at":"2026-05-18T03:55:22Z"},{"alias_kind":"pith_short_12","alias_value":"VCRUKTJG4L5W","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"VCRUKTJG4L5WW4NR","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"VCRUKTJG","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:b24c2620238a99962593f4b60fc4348f2946683357e1afab028af6563af262ec","target":"graph","created_at":"2026-05-18T03:55:22Z","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":"Within the time-dependent Gutzwiller approximation (TDGA) applied to Holstein- and SSH-Hubbard models we study the influence of electron correlations on the phonon self-energy. For the local Holstein coupling we find that the phonon frequency renormalization gets weakened upon increasing the onsite interaction $U$ for all momenta. In contrast, correlations can enhance the phonon frequency shift for small wave-vectors in the SSH-Hubbard model. Moreover the TDGA applied to the latter model provides a mechanism which leads to phonon frequency corrections at intermediate momenta due to the couplin","authors_text":"A. Di Ciolo, E. von Oelsen, G. Seibold, J. Lorenzana, M. Grilli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-10-29T15:03:47Z","title":"Phonon renormalization from local and transitive electron-lattice couplings in strongly correlated systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.5618","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:d000dc916a62824f33220e17b5a76acd620366d8a2341b7aa2f12cce8d70ca93","target":"record","created_at":"2026-05-18T03:55:22Z","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":"d868f1be05edde2baa87857b054dad59dadbc14b2a76fb1cfcf80c5a8e9bdedf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-10-29T15:03:47Z","title_canon_sha256":"cd4a2ab9b8770d1fd3f447f584bd8f44927da441dbad010db5fb5a95ef40c02f"},"schema_version":"1.0","source":{"id":"0910.5618","kind":"arxiv","version":1}},"canonical_sha256":"a8a3454d26e2fb6b71b14df4290d2d3abc41f6b79be140243e07f3b2b146b5da","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8a3454d26e2fb6b71b14df4290d2d3abc41f6b79be140243e07f3b2b146b5da","first_computed_at":"2026-05-18T03:55:22.150827Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:22.150827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nNQifKQoWuonCYQakN/RqSnIqw6bYlpoTSZ2B1waV0zyTREFzfx87MCcGlsWma/o5L33WFPGDZDsGFU38Wl1AA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:22.151600Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.5618","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d000dc916a62824f33220e17b5a76acd620366d8a2341b7aa2f12cce8d70ca93","sha256:b24c2620238a99962593f4b60fc4348f2946683357e1afab028af6563af262ec"],"state_sha256":"bb152c8c69cdba8a23cb38c7bfa490002c5a817d599a6dec8fc2814bc659a88d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cTc88qSOpa9KLr0pfhE5FjPkrWA9GWQFJm7IHieq3oMbaxdMGwR6gVoHGKACTBSU/RQFuoPruxu5xxzIcL7lCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T17:24:30.056307Z","bundle_sha256":"74201f31ede2f80f76b7c9dd91caadfe5789d4cecf67294e8c8f6f2235ddbf6b"}}