{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:ATITEAZVQ4W53PBSLLEA2NWS2K","short_pith_number":"pith:ATITEAZV","canonical_record":{"source":{"id":"2306.03800","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-06-06T15:45:05Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"226b5dbee1c2bb3b79d3a51fbceacef019917d6a513848e6ccd61351bf0b4867","abstract_canon_sha256":"bce31f1d118088510b191b49bddd96f5372a9deac120ed004c9a531135299ddb"},"schema_version":"1.0"},"canonical_sha256":"04d1320335872dddbc325ac80d36d2d2b8aa5ba529489b4faa96bb14bb6d152c","source":{"kind":"arxiv","id":"2306.03800","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.03800","created_at":"2026-07-05T06:18:02Z"},{"alias_kind":"arxiv_version","alias_value":"2306.03800v1","created_at":"2026-07-05T06:18:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.03800","created_at":"2026-07-05T06:18:02Z"},{"alias_kind":"pith_short_12","alias_value":"ATITEAZVQ4W5","created_at":"2026-07-05T06:18:02Z"},{"alias_kind":"pith_short_16","alias_value":"ATITEAZVQ4W53PBS","created_at":"2026-07-05T06:18:02Z"},{"alias_kind":"pith_short_8","alias_value":"ATITEAZV","created_at":"2026-07-05T06:18:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:ATITEAZVQ4W53PBSLLEA2NWS2K","target":"record","payload":{"canonical_record":{"source":{"id":"2306.03800","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-06-06T15:45:05Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"226b5dbee1c2bb3b79d3a51fbceacef019917d6a513848e6ccd61351bf0b4867","abstract_canon_sha256":"bce31f1d118088510b191b49bddd96f5372a9deac120ed004c9a531135299ddb"},"schema_version":"1.0"},"canonical_sha256":"04d1320335872dddbc325ac80d36d2d2b8aa5ba529489b4faa96bb14bb6d152c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:18:02.383910Z","signature_b64":"H1gMg//N4qr7KHHA29XGxBPanMW1WObPlZG79pQt/3uXg8QDvlGQkBb+kPq68twNJJAvbb+pxahL1my3F1liCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04d1320335872dddbc325ac80d36d2d2b8aa5ba529489b4faa96bb14bb6d152c","last_reissued_at":"2026-07-05T06:18:02.383422Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:18:02.383422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2306.03800","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":"2026-07-05T06:18:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QOV7VURxP4YbPzcNTWdbiRoanrlxwSxDizE4QGI/of+Y8GWZ96N6soA/eWQBGuOW7ja9tOlTPHNB7qJKnefdCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T03:34:34.976552Z"},"content_sha256":"e43ab228e759d51d9710bd798096690d17b620f1245725991fe73cf25a4b6837","schema_version":"1.0","event_id":"sha256:e43ab228e759d51d9710bd798096690d17b620f1245725991fe73cf25a4b6837"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:ATITEAZVQ4W53PBSLLEA2NWS2K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Plasmons for the Hartree equations with Coulomb interaction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Chanjin You, Toan T. Nguyen","submitted_at":"2023-06-06T15:45:05Z","abstract_excerpt":"In this work, we establish the existence and decay of {\\em plasmons}, the quantum of Langmuir's oscillatory waves found in plasma physics, for the linearized Hartree equations describing an interacting gas of infinitely many fermions near general translation-invariant steady states, including compactly supported Fermi gases at zero temperature, in the whole space $\\RR^d$ for $d\\ge 2$. Notably, these plasmons exist precisely due to the long-range pair interaction between the particles. Next, we provide a survival threshold of spatial frequencies, below which the plasmons purely oscillate and di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.03800","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/2306.03800/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":"2026-07-05T06:18:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yGMrqWv2v0cuyZ5Mzuc84HyqlxK0SzRgISLFRre1pu9o26rYR/LDlZu3DR23tWRyZ/kvb0LpmBlODAvML3A2Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T03:34:34.977180Z"},"content_sha256":"5b2d2ffff210b8c97cd17fef93c7f4d004191b8b6c649c5a4153a8f8a41d9dd0","schema_version":"1.0","event_id":"sha256:5b2d2ffff210b8c97cd17fef93c7f4d004191b8b6c649c5a4153a8f8a41d9dd0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ATITEAZVQ4W53PBSLLEA2NWS2K/bundle.json","state_url":"https://pith.science/pith/ATITEAZVQ4W53PBSLLEA2NWS2K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ATITEAZVQ4W53PBSLLEA2NWS2K/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":"2026-08-10T03:34:34Z","links":{"resolver":"https://pith.science/pith/ATITEAZVQ4W53PBSLLEA2NWS2K","bundle":"https://pith.science/pith/ATITEAZVQ4W53PBSLLEA2NWS2K/bundle.json","state":"https://pith.science/pith/ATITEAZVQ4W53PBSLLEA2NWS2K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ATITEAZVQ4W53PBSLLEA2NWS2K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:ATITEAZVQ4W53PBSLLEA2NWS2K","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":"bce31f1d118088510b191b49bddd96f5372a9deac120ed004c9a531135299ddb","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-06-06T15:45:05Z","title_canon_sha256":"226b5dbee1c2bb3b79d3a51fbceacef019917d6a513848e6ccd61351bf0b4867"},"schema_version":"1.0","source":{"id":"2306.03800","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.03800","created_at":"2026-07-05T06:18:02Z"},{"alias_kind":"arxiv_version","alias_value":"2306.03800v1","created_at":"2026-07-05T06:18:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.03800","created_at":"2026-07-05T06:18:02Z"},{"alias_kind":"pith_short_12","alias_value":"ATITEAZVQ4W5","created_at":"2026-07-05T06:18:02Z"},{"alias_kind":"pith_short_16","alias_value":"ATITEAZVQ4W53PBS","created_at":"2026-07-05T06:18:02Z"},{"alias_kind":"pith_short_8","alias_value":"ATITEAZV","created_at":"2026-07-05T06:18:02Z"}],"graph_snapshots":[{"event_id":"sha256:5b2d2ffff210b8c97cd17fef93c7f4d004191b8b6c649c5a4153a8f8a41d9dd0","target":"graph","created_at":"2026-07-05T06:18:02Z","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/2306.03800/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we establish the existence and decay of {\\em plasmons}, the quantum of Langmuir's oscillatory waves found in plasma physics, for the linearized Hartree equations describing an interacting gas of infinitely many fermions near general translation-invariant steady states, including compactly supported Fermi gases at zero temperature, in the whole space $\\RR^d$ for $d\\ge 2$. Notably, these plasmons exist precisely due to the long-range pair interaction between the particles. Next, we provide a survival threshold of spatial frequencies, below which the plasmons purely oscillate and di","authors_text":"Chanjin You, Toan T. Nguyen","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-06-06T15:45:05Z","title":"Plasmons for the Hartree equations with Coulomb interaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.03800","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:e43ab228e759d51d9710bd798096690d17b620f1245725991fe73cf25a4b6837","target":"record","created_at":"2026-07-05T06:18:02Z","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":"bce31f1d118088510b191b49bddd96f5372a9deac120ed004c9a531135299ddb","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-06-06T15:45:05Z","title_canon_sha256":"226b5dbee1c2bb3b79d3a51fbceacef019917d6a513848e6ccd61351bf0b4867"},"schema_version":"1.0","source":{"id":"2306.03800","kind":"arxiv","version":1}},"canonical_sha256":"04d1320335872dddbc325ac80d36d2d2b8aa5ba529489b4faa96bb14bb6d152c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04d1320335872dddbc325ac80d36d2d2b8aa5ba529489b4faa96bb14bb6d152c","first_computed_at":"2026-07-05T06:18:02.383422Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:18:02.383422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H1gMg//N4qr7KHHA29XGxBPanMW1WObPlZG79pQt/3uXg8QDvlGQkBb+kPq68twNJJAvbb+pxahL1my3F1liCg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:18:02.383910Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.03800","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e43ab228e759d51d9710bd798096690d17b620f1245725991fe73cf25a4b6837","sha256:5b2d2ffff210b8c97cd17fef93c7f4d004191b8b6c649c5a4153a8f8a41d9dd0"],"state_sha256":"5d35f28318ff5cb4beac1dc9c39bb8d1fe2ef6411a65386f271bd58117da5396"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C8ZXv7YaedPcOiiA7SEuaDxpYwC+HeS7TsHCEyZo9pUmYrWoLt5v2kcml+WPiDJhXrwz2p4J14hDeuIxUpPdCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T03:34:34.982789Z","bundle_sha256":"dfabc8d4a72e4a8692daef8edb3b840029482bfb9c59fddcb9c301ff1af48dfe"}}