{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:VB7CNVJYKXPNUOFXPLSLVZBOAF","short_pith_number":"pith:VB7CNVJY","canonical_record":{"source":{"id":"2001.01353","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-01-06T01:20:27Z","cross_cats_sorted":[],"title_canon_sha256":"08b67b820c37774e8bba6fa8f6fae3892aca9b5fdc6ab3908ca47fbfe20bf423","abstract_canon_sha256":"f6f7f8b8536d6146a15a84ccbd5d52c28f35d1788c9e657cdc089aff13601a2e"},"schema_version":"1.0"},"canonical_sha256":"a87e26d53855deda38b77ae4bae42e015370eafde0869d9637ace3046ad0c387","source":{"kind":"arxiv","id":"2001.01353","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2001.01353","created_at":"2026-07-05T01:24:30Z"},{"alias_kind":"arxiv_version","alias_value":"2001.01353v3","created_at":"2026-07-05T01:24:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.01353","created_at":"2026-07-05T01:24:30Z"},{"alias_kind":"pith_short_12","alias_value":"VB7CNVJYKXPN","created_at":"2026-07-05T01:24:30Z"},{"alias_kind":"pith_short_16","alias_value":"VB7CNVJYKXPNUOFX","created_at":"2026-07-05T01:24:30Z"},{"alias_kind":"pith_short_8","alias_value":"VB7CNVJY","created_at":"2026-07-05T01:24:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:VB7CNVJYKXPNUOFXPLSLVZBOAF","target":"record","payload":{"canonical_record":{"source":{"id":"2001.01353","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-01-06T01:20:27Z","cross_cats_sorted":[],"title_canon_sha256":"08b67b820c37774e8bba6fa8f6fae3892aca9b5fdc6ab3908ca47fbfe20bf423","abstract_canon_sha256":"f6f7f8b8536d6146a15a84ccbd5d52c28f35d1788c9e657cdc089aff13601a2e"},"schema_version":"1.0"},"canonical_sha256":"a87e26d53855deda38b77ae4bae42e015370eafde0869d9637ace3046ad0c387","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:24:30.089221Z","signature_b64":"jSxCnfDuIjvvEXlNEbFjxaI1msOoc1JZQlFZsb15CyVH6ff8+3NCoEF48V4p1wBtNu3hbiK+pX/N9NUX+Kc5Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a87e26d53855deda38b77ae4bae42e015370eafde0869d9637ace3046ad0c387","last_reissued_at":"2026-07-05T01:24:30.088691Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:24:30.088691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2001.01353","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:24:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"16PD+CuU58KZ7xpqRGM8X+ZzZuIE+Mev36jnS6GdEEL7y84R8yqWjz2GPdoKW1dXf1ceJz1+FaThFCTIMA3DAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T13:30:50.390095Z"},"content_sha256":"c86da86062a0db2ffc9a442a3e8ff9f45a19f55d30f8048a870b3098295e501d","schema_version":"1.0","event_id":"sha256:c86da86062a0db2ffc9a442a3e8ff9f45a19f55d30f8048a870b3098295e501d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:VB7CNVJYKXPNUOFXPLSLVZBOAF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extending the Gutzwiller approximation to intersite interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Gabriel Kotliar, Garry Goldstein, Nicola Lanata","submitted_at":"2020-01-06T01:20:27Z","abstract_excerpt":"We develop an extension of the Gutzwiller Approximation (GA) formalism that includes the effects of Coulomb interactions of arbitrary range (including density density, exchange, pair hopping and Coulomb assisted hopping terms). This formalism reduces to the ordinary GA formalism for the multi-band Hubbard models in the presence of only local interactions. This is accomplished by combining the 1/z expansion -- where z is the coordination number and only the leading order terms contribute in the limit of infinite dimensions -- with a P^2-I expansion, where P is the Gutzwiller projector. The meth"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.01353","kind":"arxiv","version":3},"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/2001.01353/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":"2026-07-05T01:24:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NKE9DfqVcEhnloT4k6lNPv5CKBi+C4NgUjv5Y5e/7fm2ZDOzouBVNWbvbiUk1VvpSwZ9U6XI+5ch9JM+Hx/tBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T13:30:50.390487Z"},"content_sha256":"a44ba13930b9746773b36062fdc6a5d574a8656d8548abbab2d96fe4eb10c0bc","schema_version":"1.0","event_id":"sha256:a44ba13930b9746773b36062fdc6a5d574a8656d8548abbab2d96fe4eb10c0bc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VB7CNVJYKXPNUOFXPLSLVZBOAF/bundle.json","state_url":"https://pith.science/pith/VB7CNVJYKXPNUOFXPLSLVZBOAF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VB7CNVJYKXPNUOFXPLSLVZBOAF/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":"2026-07-07T13:30:50Z","links":{"resolver":"https://pith.science/pith/VB7CNVJYKXPNUOFXPLSLVZBOAF","bundle":"https://pith.science/pith/VB7CNVJYKXPNUOFXPLSLVZBOAF/bundle.json","state":"https://pith.science/pith/VB7CNVJYKXPNUOFXPLSLVZBOAF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VB7CNVJYKXPNUOFXPLSLVZBOAF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:VB7CNVJYKXPNUOFXPLSLVZBOAF","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":"f6f7f8b8536d6146a15a84ccbd5d52c28f35d1788c9e657cdc089aff13601a2e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-01-06T01:20:27Z","title_canon_sha256":"08b67b820c37774e8bba6fa8f6fae3892aca9b5fdc6ab3908ca47fbfe20bf423"},"schema_version":"1.0","source":{"id":"2001.01353","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2001.01353","created_at":"2026-07-05T01:24:30Z"},{"alias_kind":"arxiv_version","alias_value":"2001.01353v3","created_at":"2026-07-05T01:24:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.01353","created_at":"2026-07-05T01:24:30Z"},{"alias_kind":"pith_short_12","alias_value":"VB7CNVJYKXPN","created_at":"2026-07-05T01:24:30Z"},{"alias_kind":"pith_short_16","alias_value":"VB7CNVJYKXPNUOFX","created_at":"2026-07-05T01:24:30Z"},{"alias_kind":"pith_short_8","alias_value":"VB7CNVJY","created_at":"2026-07-05T01:24:30Z"}],"graph_snapshots":[{"event_id":"sha256:a44ba13930b9746773b36062fdc6a5d574a8656d8548abbab2d96fe4eb10c0bc","target":"graph","created_at":"2026-07-05T01:24:30Z","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/2001.01353/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop an extension of the Gutzwiller Approximation (GA) formalism that includes the effects of Coulomb interactions of arbitrary range (including density density, exchange, pair hopping and Coulomb assisted hopping terms). This formalism reduces to the ordinary GA formalism for the multi-band Hubbard models in the presence of only local interactions. This is accomplished by combining the 1/z expansion -- where z is the coordination number and only the leading order terms contribute in the limit of infinite dimensions -- with a P^2-I expansion, where P is the Gutzwiller projector. The meth","authors_text":"Gabriel Kotliar, Garry Goldstein, Nicola Lanata","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-01-06T01:20:27Z","title":"Extending the Gutzwiller approximation to intersite interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.01353","kind":"arxiv","version":3},"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:c86da86062a0db2ffc9a442a3e8ff9f45a19f55d30f8048a870b3098295e501d","target":"record","created_at":"2026-07-05T01:24:30Z","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":"f6f7f8b8536d6146a15a84ccbd5d52c28f35d1788c9e657cdc089aff13601a2e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-01-06T01:20:27Z","title_canon_sha256":"08b67b820c37774e8bba6fa8f6fae3892aca9b5fdc6ab3908ca47fbfe20bf423"},"schema_version":"1.0","source":{"id":"2001.01353","kind":"arxiv","version":3}},"canonical_sha256":"a87e26d53855deda38b77ae4bae42e015370eafde0869d9637ace3046ad0c387","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a87e26d53855deda38b77ae4bae42e015370eafde0869d9637ace3046ad0c387","first_computed_at":"2026-07-05T01:24:30.088691Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:24:30.088691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jSxCnfDuIjvvEXlNEbFjxaI1msOoc1JZQlFZsb15CyVH6ff8+3NCoEF48V4p1wBtNu3hbiK+pX/N9NUX+Kc5Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:24:30.089221Z","signed_message":"canonical_sha256_bytes"},"source_id":"2001.01353","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c86da86062a0db2ffc9a442a3e8ff9f45a19f55d30f8048a870b3098295e501d","sha256:a44ba13930b9746773b36062fdc6a5d574a8656d8548abbab2d96fe4eb10c0bc"],"state_sha256":"501712e4445db5726a4bf212183a36571f2a7de0a824bd24f2bec3d5f58f2767"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W5p5zk1Lh17eFswW1CZ5vgRJXQtv8zElX7B0NIq3ZXSc3iZqNlgdU7tBhzpqxK87R9wSxHIt8u/5k126U21LDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T13:30:50.392464Z","bundle_sha256":"d3cb5a6b7277a2ae7055befee98d612e63380f123ab4f8eb1bc1d1920c5a1a61"}}