{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:LSYIWC52J3AAHI4UOCATCU33O2","short_pith_number":"pith:LSYIWC52","canonical_record":{"source":{"id":"astro-ph/0701418","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2007-01-15T13:18:20Z","cross_cats_sorted":[],"title_canon_sha256":"016bb066e819c49cb6e18f1f628a6d92388860dc572ed9e73a7650ac7ac1943e","abstract_canon_sha256":"b8fe704a64c4b14e01d52c9bffd5e5401c4927676e911389d8c72fcae022559e"},"schema_version":"1.0"},"canonical_sha256":"5cb08b0bba4ec003a394708131537b768e5cae20d2aed761824fede1f18addf2","source":{"kind":"arxiv","id":"astro-ph/0701418","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0701418","created_at":"2026-05-18T04:29:07Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0701418v1","created_at":"2026-05-18T04:29:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0701418","created_at":"2026-05-18T04:29:07Z"},{"alias_kind":"pith_short_12","alias_value":"LSYIWC52J3AA","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"LSYIWC52J3AAHI4U","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"LSYIWC52","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:LSYIWC52J3AAHI4UOCATCU33O2","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/0701418","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2007-01-15T13:18:20Z","cross_cats_sorted":[],"title_canon_sha256":"016bb066e819c49cb6e18f1f628a6d92388860dc572ed9e73a7650ac7ac1943e","abstract_canon_sha256":"b8fe704a64c4b14e01d52c9bffd5e5401c4927676e911389d8c72fcae022559e"},"schema_version":"1.0"},"canonical_sha256":"5cb08b0bba4ec003a394708131537b768e5cae20d2aed761824fede1f18addf2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:29:07.260945Z","signature_b64":"Q5mRVpfPWtbPnI/Ln3byDyH1rrkUXdWSU336dyqHuIzQFtmxFqSep9SrrMqgLoLxif4orekDZopNnME22bOFCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5cb08b0bba4ec003a394708131537b768e5cae20d2aed761824fede1f18addf2","last_reissued_at":"2026-05-18T04:29:07.260431Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:29:07.260431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/0701418","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":"2026-05-18T04:29:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mPWxZft6jG7Y4b4+DrdUdXJUdzVYxs4BIps+06kUg6MkFOwo30uyk9tvgbiOF+bGQNBzG2Hw44HFDPst94JmBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T11:08:41.105552Z"},"content_sha256":"3ef13d2d23d59d68ee005e7706f93e5c7bf71e4100acb9f688cd342918535458","schema_version":"1.0","event_id":"sha256:3ef13d2d23d59d68ee005e7706f93e5c7bf71e4100acb9f688cd342918535458"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:LSYIWC52J3AAHI4UOCATCU33O2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dissipationless collapses in MOND","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"(2) INAF-Bologna Astronomical Observatory), C. Nipoti (1), L. Ciotti (1) ((1) Bologna University, P. Londrillo (2)","submitted_at":"2007-01-15T13:18:20Z","abstract_excerpt":"Dissipationless collapses in Modified Newtonian Dynamics (MOND) are studied by using a new particle-mesh N-body code based on our numerical MOND potential solver. We found that low surface-density end-products have shallower inner density profile, flatter radial velocity-dispersion profile, and more radially anisotropic orbital distribution than high surface-density end-products. The projected density profiles of the final virialized systems are well described by Sersic profiles with index m~4, down to m~2 for a deep-MOND collapse. Consistently with observations of elliptical galaxies, the MON"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0701418","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":"2026-05-18T04:29:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dD7+nRqc6FIZFsOyJJUKx246d7TA4DSZtXhYm1f4yh93DWDJNq2mRAOTMc4gMlv38uWiJps2Br/2UYsBjZEqAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T11:08:41.106234Z"},"content_sha256":"3b4fc0129218d5cee54e49013ad44455ecfd435b4d774ebaf13c6c33bdd08f98","schema_version":"1.0","event_id":"sha256:3b4fc0129218d5cee54e49013ad44455ecfd435b4d774ebaf13c6c33bdd08f98"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LSYIWC52J3AAHI4UOCATCU33O2/bundle.json","state_url":"https://pith.science/pith/LSYIWC52J3AAHI4UOCATCU33O2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LSYIWC52J3AAHI4UOCATCU33O2/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":"2026-05-27T11:08:41Z","links":{"resolver":"https://pith.science/pith/LSYIWC52J3AAHI4UOCATCU33O2","bundle":"https://pith.science/pith/LSYIWC52J3AAHI4UOCATCU33O2/bundle.json","state":"https://pith.science/pith/LSYIWC52J3AAHI4UOCATCU33O2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LSYIWC52J3AAHI4UOCATCU33O2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:LSYIWC52J3AAHI4UOCATCU33O2","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":"b8fe704a64c4b14e01d52c9bffd5e5401c4927676e911389d8c72fcae022559e","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2007-01-15T13:18:20Z","title_canon_sha256":"016bb066e819c49cb6e18f1f628a6d92388860dc572ed9e73a7650ac7ac1943e"},"schema_version":"1.0","source":{"id":"astro-ph/0701418","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0701418","created_at":"2026-05-18T04:29:07Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0701418v1","created_at":"2026-05-18T04:29:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0701418","created_at":"2026-05-18T04:29:07Z"},{"alias_kind":"pith_short_12","alias_value":"LSYIWC52J3AA","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"LSYIWC52J3AAHI4U","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"LSYIWC52","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:3b4fc0129218d5cee54e49013ad44455ecfd435b4d774ebaf13c6c33bdd08f98","target":"graph","created_at":"2026-05-18T04:29:07Z","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":"Dissipationless collapses in Modified Newtonian Dynamics (MOND) are studied by using a new particle-mesh N-body code based on our numerical MOND potential solver. We found that low surface-density end-products have shallower inner density profile, flatter radial velocity-dispersion profile, and more radially anisotropic orbital distribution than high surface-density end-products. The projected density profiles of the final virialized systems are well described by Sersic profiles with index m~4, down to m~2 for a deep-MOND collapse. Consistently with observations of elliptical galaxies, the MON","authors_text":"(2) INAF-Bologna Astronomical Observatory), C. Nipoti (1), L. Ciotti (1) ((1) Bologna University, P. Londrillo (2)","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2007-01-15T13:18:20Z","title":"Dissipationless collapses in MOND"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0701418","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":"sha256:3ef13d2d23d59d68ee005e7706f93e5c7bf71e4100acb9f688cd342918535458","target":"record","created_at":"2026-05-18T04:29:07Z","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":"b8fe704a64c4b14e01d52c9bffd5e5401c4927676e911389d8c72fcae022559e","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2007-01-15T13:18:20Z","title_canon_sha256":"016bb066e819c49cb6e18f1f628a6d92388860dc572ed9e73a7650ac7ac1943e"},"schema_version":"1.0","source":{"id":"astro-ph/0701418","kind":"arxiv","version":1}},"canonical_sha256":"5cb08b0bba4ec003a394708131537b768e5cae20d2aed761824fede1f18addf2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5cb08b0bba4ec003a394708131537b768e5cae20d2aed761824fede1f18addf2","first_computed_at":"2026-05-18T04:29:07.260431Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:29:07.260431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q5mRVpfPWtbPnI/Ln3byDyH1rrkUXdWSU336dyqHuIzQFtmxFqSep9SrrMqgLoLxif4orekDZopNnME22bOFCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:29:07.260945Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0701418","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ef13d2d23d59d68ee005e7706f93e5c7bf71e4100acb9f688cd342918535458","sha256:3b4fc0129218d5cee54e49013ad44455ecfd435b4d774ebaf13c6c33bdd08f98"],"state_sha256":"87a413e4ca3f1c443908d343ed3ca0b5b25518030bacbdfe852afdaded5fcf3d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eYdEPJFH3J7EJXEHMllS0U1oTs0lQehT9nC+GWeDifo+l1+Qj+nTwkDQOmNb/I6gkSw0cKoqPjS6kmQXEomoBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T11:08:41.109917Z","bundle_sha256":"6d3313405f6d3f0d5ce2f92103db567d3bcc5e87c8859ac1dabf86ecf6815748"}}