{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:5EWA2ENBYG23A67FTJJV4766K3","short_pith_number":"pith:5EWA2ENB","canonical_record":{"source":{"id":"2202.00689","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-02-01T19:00:02Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"b9c016efbb31fc47d85937dcac2ea46e48ab4ea479b0ca229208a292b98b7f45","abstract_canon_sha256":"4768b87a682ed739c7ee0cfcf69204d282802c530707a24e0c272e3d275ca212"},"schema_version":"1.0"},"canonical_sha256":"e92c0d11a1c1b5b07be59a535e7fde56ddc66f7ce75dbef0be2d146db9fb677b","source":{"kind":"arxiv","id":"2202.00689","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.00689","created_at":"2026-07-05T05:05:30Z"},{"alias_kind":"arxiv_version","alias_value":"2202.00689v3","created_at":"2026-07-05T05:05:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.00689","created_at":"2026-07-05T05:05:30Z"},{"alias_kind":"pith_short_12","alias_value":"5EWA2ENBYG23","created_at":"2026-07-05T05:05:30Z"},{"alias_kind":"pith_short_16","alias_value":"5EWA2ENBYG23A67F","created_at":"2026-07-05T05:05:30Z"},{"alias_kind":"pith_short_8","alias_value":"5EWA2ENB","created_at":"2026-07-05T05:05:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:5EWA2ENBYG23A67FTJJV4766K3","target":"record","payload":{"canonical_record":{"source":{"id":"2202.00689","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-02-01T19:00:02Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"b9c016efbb31fc47d85937dcac2ea46e48ab4ea479b0ca229208a292b98b7f45","abstract_canon_sha256":"4768b87a682ed739c7ee0cfcf69204d282802c530707a24e0c272e3d275ca212"},"schema_version":"1.0"},"canonical_sha256":"e92c0d11a1c1b5b07be59a535e7fde56ddc66f7ce75dbef0be2d146db9fb677b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:05:30.586461Z","signature_b64":"EIqKe02HLDkGHLeacTUmvhclfout28CLrJgUzj5xnrLZmRXfZtdmIq3xqpdJP1T8RLUip4kYfLZNNr9+OMGoAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e92c0d11a1c1b5b07be59a535e7fde56ddc66f7ce75dbef0be2d146db9fb677b","last_reissued_at":"2026-07-05T05:05:30.585942Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:05:30.585942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2202.00689","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":"2026-07-05T05:05:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kpTe8ezXk3SZ3u1qwPcxxm8eCS8rtoVS4DiZ3Mxs8ZZnPQ9nVr6VvAoDkOzRmFYZ1s0Fj6t9nIMw18mEEpOyCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T08:38:23.229449Z"},"content_sha256":"541595753bb3ef9b1ccef0ea80a63fd151e811b53424dd5bb968b00803b7b3ba","schema_version":"1.0","event_id":"sha256:541595753bb3ef9b1ccef0ea80a63fd151e811b53424dd5bb968b00803b7b3ba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:5EWA2ENBYG23A67FTJJV4766K3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Joule heating in bad and slow metals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Paolo Glorioso, Sean A. Hartnoll","submitted_at":"2022-02-01T19:00:02Z","abstract_excerpt":"Heat supplied to a metal is absorbed by the electrons and then transferred to the lattice. In conventional metals energy is released to the lattice by phonons emitted from the Lindhard continuum. However in a `bad' metal, with short mean free path, the low energy Lindhard continuum is destroyed. Furthermore in a `slow' metal, with Fermi velocity less than the sound velocity, particle-hole pairs are kinematically unable to emit phonons. To describe energy transfer to the lattice in these cases we obtain a general Kubo formula for the energy relaxation rate in terms of the electronic density spe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.00689","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/2202.00689/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":"2026-07-05T05:05:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PyhbFymaXfU7J7IbG3vWiLTkUZZhChanCuPiBTzBvcDomJxcZycGceT4h1PdY0ewx2sRBk2d1W9iBveLR2soCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T08:38:23.230020Z"},"content_sha256":"4e4a78d40b267d9b60fa1fd09af3442d89a1103eb04672d8baa572bf4cb3d04b","schema_version":"1.0","event_id":"sha256:4e4a78d40b267d9b60fa1fd09af3442d89a1103eb04672d8baa572bf4cb3d04b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5EWA2ENBYG23A67FTJJV4766K3/bundle.json","state_url":"https://pith.science/pith/5EWA2ENBYG23A67FTJJV4766K3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5EWA2ENBYG23A67FTJJV4766K3/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":"2026-08-10T08:38:23Z","links":{"resolver":"https://pith.science/pith/5EWA2ENBYG23A67FTJJV4766K3","bundle":"https://pith.science/pith/5EWA2ENBYG23A67FTJJV4766K3/bundle.json","state":"https://pith.science/pith/5EWA2ENBYG23A67FTJJV4766K3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5EWA2ENBYG23A67FTJJV4766K3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:5EWA2ENBYG23A67FTJJV4766K3","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":"4768b87a682ed739c7ee0cfcf69204d282802c530707a24e0c272e3d275ca212","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-02-01T19:00:02Z","title_canon_sha256":"b9c016efbb31fc47d85937dcac2ea46e48ab4ea479b0ca229208a292b98b7f45"},"schema_version":"1.0","source":{"id":"2202.00689","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.00689","created_at":"2026-07-05T05:05:30Z"},{"alias_kind":"arxiv_version","alias_value":"2202.00689v3","created_at":"2026-07-05T05:05:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.00689","created_at":"2026-07-05T05:05:30Z"},{"alias_kind":"pith_short_12","alias_value":"5EWA2ENBYG23","created_at":"2026-07-05T05:05:30Z"},{"alias_kind":"pith_short_16","alias_value":"5EWA2ENBYG23A67F","created_at":"2026-07-05T05:05:30Z"},{"alias_kind":"pith_short_8","alias_value":"5EWA2ENB","created_at":"2026-07-05T05:05:30Z"}],"graph_snapshots":[{"event_id":"sha256:4e4a78d40b267d9b60fa1fd09af3442d89a1103eb04672d8baa572bf4cb3d04b","target":"graph","created_at":"2026-07-05T05:05:30Z","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/2202.00689/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Heat supplied to a metal is absorbed by the electrons and then transferred to the lattice. In conventional metals energy is released to the lattice by phonons emitted from the Lindhard continuum. However in a `bad' metal, with short mean free path, the low energy Lindhard continuum is destroyed. Furthermore in a `slow' metal, with Fermi velocity less than the sound velocity, particle-hole pairs are kinematically unable to emit phonons. To describe energy transfer to the lattice in these cases we obtain a general Kubo formula for the energy relaxation rate in terms of the electronic density spe","authors_text":"Paolo Glorioso, Sean A. Hartnoll","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-02-01T19:00:02Z","title":"Joule heating in bad and slow metals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.00689","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":"sha256:541595753bb3ef9b1ccef0ea80a63fd151e811b53424dd5bb968b00803b7b3ba","target":"record","created_at":"2026-07-05T05:05:30Z","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":"4768b87a682ed739c7ee0cfcf69204d282802c530707a24e0c272e3d275ca212","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-02-01T19:00:02Z","title_canon_sha256":"b9c016efbb31fc47d85937dcac2ea46e48ab4ea479b0ca229208a292b98b7f45"},"schema_version":"1.0","source":{"id":"2202.00689","kind":"arxiv","version":3}},"canonical_sha256":"e92c0d11a1c1b5b07be59a535e7fde56ddc66f7ce75dbef0be2d146db9fb677b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e92c0d11a1c1b5b07be59a535e7fde56ddc66f7ce75dbef0be2d146db9fb677b","first_computed_at":"2026-07-05T05:05:30.585942Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:05:30.585942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EIqKe02HLDkGHLeacTUmvhclfout28CLrJgUzj5xnrLZmRXfZtdmIq3xqpdJP1T8RLUip4kYfLZNNr9+OMGoAA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:05:30.586461Z","signed_message":"canonical_sha256_bytes"},"source_id":"2202.00689","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:541595753bb3ef9b1ccef0ea80a63fd151e811b53424dd5bb968b00803b7b3ba","sha256:4e4a78d40b267d9b60fa1fd09af3442d89a1103eb04672d8baa572bf4cb3d04b"],"state_sha256":"0a5d219e9b824b2318fea5212db4753b416107b60147c94acd2e0f4f3333cbaf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uFgo+wWScTuHVFcDKz/2u5fCjMIcWCfEQn3DGJtww9WOurFcwNG618RKpbtJXs+EwFFnoUG9ogFY0go5WubxDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T08:38:23.237226Z","bundle_sha256":"fd28dd26d9d24008986b143c3bf8597726ea5a76353ddd196ebe87d9b1d1afe3"}}