{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:3WJUDSEVUFXQHDJX3MJWAOJZWW","short_pith_number":"pith:3WJUDSEV","canonical_record":{"source":{"id":"2608.06260","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-08-06T16:51:54Z","cross_cats_sorted":[],"title_canon_sha256":"d3d97c4c5364f9efc7fb0dd21ee1f4367c59da6d92f5bceb04509be501dde2ed","abstract_canon_sha256":"55cec46162358b45bbd654f8054d1c37c5e32e3fd1da3449022b9e55350c56bb"},"schema_version":"1.0"},"canonical_sha256":"dd9341c895a16f038d37db13603939b5af9e14571fc82d194f1092f98b702d01","source":{"kind":"arxiv","id":"2608.06260","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.06260","created_at":"2026-08-07T01:41:04Z"},{"alias_kind":"arxiv_version","alias_value":"2608.06260v1","created_at":"2026-08-07T01:41:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.06260","created_at":"2026-08-07T01:41:04Z"},{"alias_kind":"pith_short_12","alias_value":"3WJUDSEVUFXQ","created_at":"2026-08-07T01:41:04Z"},{"alias_kind":"pith_short_16","alias_value":"3WJUDSEVUFXQHDJX","created_at":"2026-08-07T01:41:04Z"},{"alias_kind":"pith_short_8","alias_value":"3WJUDSEV","created_at":"2026-08-07T01:41:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:3WJUDSEVUFXQHDJX3MJWAOJZWW","target":"record","payload":{"canonical_record":{"source":{"id":"2608.06260","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-08-06T16:51:54Z","cross_cats_sorted":[],"title_canon_sha256":"d3d97c4c5364f9efc7fb0dd21ee1f4367c59da6d92f5bceb04509be501dde2ed","abstract_canon_sha256":"55cec46162358b45bbd654f8054d1c37c5e32e3fd1da3449022b9e55350c56bb"},"schema_version":"1.0"},"canonical_sha256":"dd9341c895a16f038d37db13603939b5af9e14571fc82d194f1092f98b702d01","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-07T01:41:04.655024Z","signature_b64":"GiTphJDONXu/epb86yHn0cL0hRRelZD0MzRgQqIZK+QbPLBK63CDAGqqHSCyBoYkY4piZ9Pd+6Av4wTjc+ahDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd9341c895a16f038d37db13603939b5af9e14571fc82d194f1092f98b702d01","last_reissued_at":"2026-08-07T01:41:04.652863Z","signature_status":"signed_v1","first_computed_at":"2026-08-07T01:41:04.652863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.06260","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":"2026-08-07T01:41:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"URpl7fjgSS3ZjRP076Xu9iFYbHSWqim88zEgOHuSQLHzs64S80tKXXgnzRL8gBeJu6LJBYf6sNZqZVOvRPuiCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T05:02:29.509410Z"},"content_sha256":"70dbcf569ce65bb5ad38d6df6fa84b3102f144b61482b0ffa97cba96c87fb865","schema_version":"1.0","event_id":"sha256:70dbcf569ce65bb5ad38d6df6fa84b3102f144b61482b0ffa97cba96c87fb865"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:3WJUDSEVUFXQHDJX3MJWAOJZWW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Phase Space Electronic Structure View of The Solid State","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.chem-ph","authors_text":"Joseph Subotnik, Nadine Bradbury","submitted_at":"2026-08-06T16:51:54Z","abstract_excerpt":"We develop a phase space electronic structure view of the solid state, where electronic bands are parameterized by both nuclear position $\\mathbf{Q}$ and nuclear momentum $\\mathbf{\\Pi}$ (rather than the standard practice of only $\\mathbf{Q}$). Within this phase space, non-Born-Oppenheimer electronic structure context, we prove a nuclear wavevector ($\\mathbf{q}$)-dependent version of Nafie's equality relating the change in electronic momentum as a function of nuclear momentum, $\\partial \\langle\\mathbf{p}\\rangle/\\partial \\mathbf{\\Pi}_q$, to the change in electronic position as a function of nucl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.06260","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/2608.06260/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":"2026-08-07T01:41:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UuVsLOwBXK6gBc7UEgcwE5HvlF16yfnpKUbVoWJ1OtviupB0d5EvVHPK7PX9wLZRjD3sV+DPgErsSOoqJYlYCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T05:02:29.509962Z"},"content_sha256":"98fe70797bb704ffda9fac381334f31ac21abf226b34a9a7e8b9fd00ac182112","schema_version":"1.0","event_id":"sha256:98fe70797bb704ffda9fac381334f31ac21abf226b34a9a7e8b9fd00ac182112"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3WJUDSEVUFXQHDJX3MJWAOJZWW/bundle.json","state_url":"https://pith.science/pith/3WJUDSEVUFXQHDJX3MJWAOJZWW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3WJUDSEVUFXQHDJX3MJWAOJZWW/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":"2026-08-15T05:02:29Z","links":{"resolver":"https://pith.science/pith/3WJUDSEVUFXQHDJX3MJWAOJZWW","bundle":"https://pith.science/pith/3WJUDSEVUFXQHDJX3MJWAOJZWW/bundle.json","state":"https://pith.science/pith/3WJUDSEVUFXQHDJX3MJWAOJZWW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3WJUDSEVUFXQHDJX3MJWAOJZWW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:3WJUDSEVUFXQHDJX3MJWAOJZWW","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":"55cec46162358b45bbd654f8054d1c37c5e32e3fd1da3449022b9e55350c56bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-08-06T16:51:54Z","title_canon_sha256":"d3d97c4c5364f9efc7fb0dd21ee1f4367c59da6d92f5bceb04509be501dde2ed"},"schema_version":"1.0","source":{"id":"2608.06260","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.06260","created_at":"2026-08-07T01:41:04Z"},{"alias_kind":"arxiv_version","alias_value":"2608.06260v1","created_at":"2026-08-07T01:41:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.06260","created_at":"2026-08-07T01:41:04Z"},{"alias_kind":"pith_short_12","alias_value":"3WJUDSEVUFXQ","created_at":"2026-08-07T01:41:04Z"},{"alias_kind":"pith_short_16","alias_value":"3WJUDSEVUFXQHDJX","created_at":"2026-08-07T01:41:04Z"},{"alias_kind":"pith_short_8","alias_value":"3WJUDSEV","created_at":"2026-08-07T01:41:04Z"}],"graph_snapshots":[{"event_id":"sha256:98fe70797bb704ffda9fac381334f31ac21abf226b34a9a7e8b9fd00ac182112","target":"graph","created_at":"2026-08-07T01:41:04Z","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/2608.06260/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a phase space electronic structure view of the solid state, where electronic bands are parameterized by both nuclear position $\\mathbf{Q}$ and nuclear momentum $\\mathbf{\\Pi}$ (rather than the standard practice of only $\\mathbf{Q}$). Within this phase space, non-Born-Oppenheimer electronic structure context, we prove a nuclear wavevector ($\\mathbf{q}$)-dependent version of Nafie's equality relating the change in electronic momentum as a function of nuclear momentum, $\\partial \\langle\\mathbf{p}\\rangle/\\partial \\mathbf{\\Pi}_q$, to the change in electronic position as a function of nucl","authors_text":"Joseph Subotnik, Nadine Bradbury","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-08-06T16:51:54Z","title":"A Phase Space Electronic Structure View of The Solid State"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.06260","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":"sha256:70dbcf569ce65bb5ad38d6df6fa84b3102f144b61482b0ffa97cba96c87fb865","target":"record","created_at":"2026-08-07T01:41:04Z","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":"55cec46162358b45bbd654f8054d1c37c5e32e3fd1da3449022b9e55350c56bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-08-06T16:51:54Z","title_canon_sha256":"d3d97c4c5364f9efc7fb0dd21ee1f4367c59da6d92f5bceb04509be501dde2ed"},"schema_version":"1.0","source":{"id":"2608.06260","kind":"arxiv","version":1}},"canonical_sha256":"dd9341c895a16f038d37db13603939b5af9e14571fc82d194f1092f98b702d01","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd9341c895a16f038d37db13603939b5af9e14571fc82d194f1092f98b702d01","first_computed_at":"2026-08-07T01:41:04.652863Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-07T01:41:04.652863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GiTphJDONXu/epb86yHn0cL0hRRelZD0MzRgQqIZK+QbPLBK63CDAGqqHSCyBoYkY4piZ9Pd+6Av4wTjc+ahDw==","signature_status":"signed_v1","signed_at":"2026-08-07T01:41:04.655024Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.06260","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70dbcf569ce65bb5ad38d6df6fa84b3102f144b61482b0ffa97cba96c87fb865","sha256:98fe70797bb704ffda9fac381334f31ac21abf226b34a9a7e8b9fd00ac182112"],"state_sha256":"693b334ac4ee846b9e6a3db273ca71a447ceb75357b135297503ebadf0158437"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wDLmKmnvIYTwMq0Om8PUy7DuipaSgkRqfuiTamV70FvVOPmn/fWIOOH53Ro6WK3M2PcY/vWMxql1Bq5LzBBAAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T05:02:29.513520Z","bundle_sha256":"2a2a98f038d7ed8869a7d203fab50f3e1e51983029c74fdbc4f38bfb3bcce4a8"}}