{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:CUQE6E4ZC65AVZSIFRH5UOZ2KN","short_pith_number":"pith:CUQE6E4Z","canonical_record":{"source":{"id":"1504.05968","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-04-22T20:02:20Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"800d5db2f1e1d117d44ae5818ef0664c719d1479118fc14e6dc557510e224c39","abstract_canon_sha256":"435391e1b8a9393f70f906b7c10e7486bf07a1af9fafc288f4e0d4d3643d9cce"},"schema_version":"1.0"},"canonical_sha256":"15204f139917ba0ae6482c4fda3b3a5361fce7f7fddcf8583dc3c876706ee6a5","source":{"kind":"arxiv","id":"1504.05968","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.05968","created_at":"2026-05-18T02:18:03Z"},{"alias_kind":"arxiv_version","alias_value":"1504.05968v1","created_at":"2026-05-18T02:18:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.05968","created_at":"2026-05-18T02:18:03Z"},{"alias_kind":"pith_short_12","alias_value":"CUQE6E4ZC65A","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CUQE6E4ZC65AVZSI","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CUQE6E4Z","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:CUQE6E4ZC65AVZSIFRH5UOZ2KN","target":"record","payload":{"canonical_record":{"source":{"id":"1504.05968","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-04-22T20:02:20Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"800d5db2f1e1d117d44ae5818ef0664c719d1479118fc14e6dc557510e224c39","abstract_canon_sha256":"435391e1b8a9393f70f906b7c10e7486bf07a1af9fafc288f4e0d4d3643d9cce"},"schema_version":"1.0"},"canonical_sha256":"15204f139917ba0ae6482c4fda3b3a5361fce7f7fddcf8583dc3c876706ee6a5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:03.104743Z","signature_b64":"1RGDapJ1m1Z3auWjB3uu0ivlfS9ODHg8kqs1DAPJFuDcocY+JfaXQcU75xBcaYECLVkoRTHR3bncwErJp9qlBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15204f139917ba0ae6482c4fda3b3a5361fce7f7fddcf8583dc3c876706ee6a5","last_reissued_at":"2026-05-18T02:18:03.104053Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:03.104053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.05968","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":"2026-05-18T02:18:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"afNuoCLPWBcO6QEu7h4wjPC1jckDidgfL1ZBik1s18+49p2kLkb4/ZG6KJ9uSJxLaVCwjqbicZtZxzda8RUBAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T08:02:54.754232Z"},"content_sha256":"b73b525a8939b45cbe3af7f7c148eb903d17d4be9dc0c556a1636bd17a9f0df6","schema_version":"1.0","event_id":"sha256:b73b525a8939b45cbe3af7f7c148eb903d17d4be9dc0c556a1636bd17a9f0df6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:CUQE6E4ZC65AVZSIFRH5UOZ2KN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Linear Newtonian perturbation theory from the Schr\\\"odinger-Poisson equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"astro-ph.CO","authors_text":"Adam J. Christopherson, Elisa Maria Todarello, Nilanjan Banik, Pierre Sikivie","submitted_at":"2015-04-22T20:02:20Z","abstract_excerpt":"We obtain solutions to the coupled Schr\\\"odinger-Poisson equations. The solutions describe the evolution of cold dark matter density perturbations in an otherwise homogeneous expanding Friedmann universe. We discuss the relationships between descriptions of cold dark matter in terms of a pressureless fluid, in terms of a wavefunction, of a classical scalar field, and a quantum scalar field. We identify the regimes where the various descriptions coincide and where they differ."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.05968","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":"2026-05-18T02:18:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VTEdxZrEP4CiQtmo8mh4rZOEFBisSvO52uLWxMzpa2sRFlx6hqh7GNWXhTfdTHzP3hbVNY8M/FdmVByV3bGvAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T08:02:54.754720Z"},"content_sha256":"7bb0b780b5908bcfe170e4ee29ee31b7191476b8c0d2a53caad8fb3f58e1c819","schema_version":"1.0","event_id":"sha256:7bb0b780b5908bcfe170e4ee29ee31b7191476b8c0d2a53caad8fb3f58e1c819"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CUQE6E4ZC65AVZSIFRH5UOZ2KN/bundle.json","state_url":"https://pith.science/pith/CUQE6E4ZC65AVZSIFRH5UOZ2KN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CUQE6E4ZC65AVZSIFRH5UOZ2KN/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":"2026-05-25T08:02:54Z","links":{"resolver":"https://pith.science/pith/CUQE6E4ZC65AVZSIFRH5UOZ2KN","bundle":"https://pith.science/pith/CUQE6E4ZC65AVZSIFRH5UOZ2KN/bundle.json","state":"https://pith.science/pith/CUQE6E4ZC65AVZSIFRH5UOZ2KN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CUQE6E4ZC65AVZSIFRH5UOZ2KN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CUQE6E4ZC65AVZSIFRH5UOZ2KN","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":"435391e1b8a9393f70f906b7c10e7486bf07a1af9fafc288f4e0d4d3643d9cce","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-04-22T20:02:20Z","title_canon_sha256":"800d5db2f1e1d117d44ae5818ef0664c719d1479118fc14e6dc557510e224c39"},"schema_version":"1.0","source":{"id":"1504.05968","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.05968","created_at":"2026-05-18T02:18:03Z"},{"alias_kind":"arxiv_version","alias_value":"1504.05968v1","created_at":"2026-05-18T02:18:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.05968","created_at":"2026-05-18T02:18:03Z"},{"alias_kind":"pith_short_12","alias_value":"CUQE6E4ZC65A","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CUQE6E4ZC65AVZSI","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CUQE6E4Z","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:7bb0b780b5908bcfe170e4ee29ee31b7191476b8c0d2a53caad8fb3f58e1c819","target":"graph","created_at":"2026-05-18T02:18:03Z","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":"We obtain solutions to the coupled Schr\\\"odinger-Poisson equations. The solutions describe the evolution of cold dark matter density perturbations in an otherwise homogeneous expanding Friedmann universe. We discuss the relationships between descriptions of cold dark matter in terms of a pressureless fluid, in terms of a wavefunction, of a classical scalar field, and a quantum scalar field. We identify the regimes where the various descriptions coincide and where they differ.","authors_text":"Adam J. Christopherson, Elisa Maria Todarello, Nilanjan Banik, Pierre Sikivie","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-04-22T20:02:20Z","title":"Linear Newtonian perturbation theory from the Schr\\\"odinger-Poisson equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.05968","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:b73b525a8939b45cbe3af7f7c148eb903d17d4be9dc0c556a1636bd17a9f0df6","target":"record","created_at":"2026-05-18T02:18:03Z","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":"435391e1b8a9393f70f906b7c10e7486bf07a1af9fafc288f4e0d4d3643d9cce","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-04-22T20:02:20Z","title_canon_sha256":"800d5db2f1e1d117d44ae5818ef0664c719d1479118fc14e6dc557510e224c39"},"schema_version":"1.0","source":{"id":"1504.05968","kind":"arxiv","version":1}},"canonical_sha256":"15204f139917ba0ae6482c4fda3b3a5361fce7f7fddcf8583dc3c876706ee6a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15204f139917ba0ae6482c4fda3b3a5361fce7f7fddcf8583dc3c876706ee6a5","first_computed_at":"2026-05-18T02:18:03.104053Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:03.104053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1RGDapJ1m1Z3auWjB3uu0ivlfS9ODHg8kqs1DAPJFuDcocY+JfaXQcU75xBcaYECLVkoRTHR3bncwErJp9qlBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:03.104743Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.05968","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b73b525a8939b45cbe3af7f7c148eb903d17d4be9dc0c556a1636bd17a9f0df6","sha256:7bb0b780b5908bcfe170e4ee29ee31b7191476b8c0d2a53caad8fb3f58e1c819"],"state_sha256":"6b4c684b89e06a9cad810f046d13cc104f73ec1aa6a9444e630adf7eb63d610e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cz8Q/J0Hv1B46AqrvJUzN7FRNntgYQSTYTupu/9iE0QkjqUXDYQYGZEBIB20n8BdgZbPNc69u5aERgQ/la1KCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T08:02:54.757431Z","bundle_sha256":"ecfdd817e706517ddedddecf15fdb3081a47f045ba850698f48962980257f99f"}}