{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:EEKMPDEQ6UYHS6PGVHHIBKLHQB","short_pith_number":"pith:EEKMPDEQ","canonical_record":{"source":{"id":"0907.0006","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-06-30T20:00:05Z","cross_cats_sorted":["astro-ph.GA","gr-qc","hep-ph","hep-th"],"title_canon_sha256":"fdd0347ece3c182564c2c77fa9c8a716b75dc4e38e2291222f4bd34ab208cedd","abstract_canon_sha256":"80033acf40fee6b6e55f3129608ff47141ef236cf0b715b702332e350241e5aa"},"schema_version":"1.0"},"canonical_sha256":"2114c78c90f5307979e6a9ce80a967805a53bcfaa695337b7e9de44055846613","source":{"kind":"arxiv","id":"0907.0006","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.0006","created_at":"2026-05-18T04:26:54Z"},{"alias_kind":"arxiv_version","alias_value":"0907.0006v4","created_at":"2026-05-18T04:26:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.0006","created_at":"2026-05-18T04:26:54Z"},{"alias_kind":"pith_short_12","alias_value":"EEKMPDEQ6UYH","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"EEKMPDEQ6UYHS6PG","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"EEKMPDEQ","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:EEKMPDEQ6UYHS6PGVHHIBKLHQB","target":"record","payload":{"canonical_record":{"source":{"id":"0907.0006","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-06-30T20:00:05Z","cross_cats_sorted":["astro-ph.GA","gr-qc","hep-ph","hep-th"],"title_canon_sha256":"fdd0347ece3c182564c2c77fa9c8a716b75dc4e38e2291222f4bd34ab208cedd","abstract_canon_sha256":"80033acf40fee6b6e55f3129608ff47141ef236cf0b715b702332e350241e5aa"},"schema_version":"1.0"},"canonical_sha256":"2114c78c90f5307979e6a9ce80a967805a53bcfaa695337b7e9de44055846613","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:26:54.793155Z","signature_b64":"RUguGj1wOR6aZfwxLfZh46qbauVw1g+WL0kD0FdMNwNghe2uGG80ENtMFr0HjsZgfuy1G9IpERe7Dr7ApsU2Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2114c78c90f5307979e6a9ce80a967805a53bcfaa695337b7e9de44055846613","last_reissued_at":"2026-05-18T04:26:54.792786Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:26:54.792786Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0907.0006","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:26:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x5KvDwh9AIULZAdsyoG2uz9FKfdDwjtlGw4zLohOWNUvKsjCDgSWutsw2SUvYKb6be9T0PAQoGYop0nZeIYQBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:02:06.381963Z"},"content_sha256":"fbbd8558279db0c591649ebd0738d5d92ff1a008dc527e50ab2ea7c271c50bd6","schema_version":"1.0","event_id":"sha256:fbbd8558279db0c591649ebd0738d5d92ff1a008dc527e50ab2ea7c271c50bd6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:EEKMPDEQ6UYHS6PGVHHIBKLHQB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constant surface gravity and density profile of dark matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA","gr-qc","hep-ph","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"H. J. de Vega, N. G. Sanchez","submitted_at":"2009-06-30T20:00:05Z","abstract_excerpt":"Cumulative observational evidence confirm that the surface gravity of dark matter (DM) halo mu_{0 D} = r_0 rho_0 where r_0 and rho_0 are the halo core radius and central density, respectively, is nearly constant and independent of galaxy luminosity for a high number of galactic systems (spirals, dwarf irregular and spheroidals, elliptics) spanning over 14 magnitudes in luminosity and of different Hubble types. Remarkably, its numerical value mu_{0 D} = 140 M_{sun}/pc^2 = (18.6 Mev)^3 is approximately the same (up to a factor of two) in all these systems. First, we present the physical conseque"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.0006","kind":"arxiv","version":4},"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":"2026-05-18T04:26:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oH4cWeZPcFiuRTZ5aQhsiRklfGLPz2gcQFoSu3afQGRyUXYdVilyQ/RJ04npJzuj/vSO+TJkVjcDGQITIjJPBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:02:06.382723Z"},"content_sha256":"1aee2340fe798a18bd12a8d8ac530d6b723847d4cbe3ecf6a31e8213ff6262a0","schema_version":"1.0","event_id":"sha256:1aee2340fe798a18bd12a8d8ac530d6b723847d4cbe3ecf6a31e8213ff6262a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EEKMPDEQ6UYHS6PGVHHIBKLHQB/bundle.json","state_url":"https://pith.science/pith/EEKMPDEQ6UYHS6PGVHHIBKLHQB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EEKMPDEQ6UYHS6PGVHHIBKLHQB/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":"2026-06-05T20:02:06Z","links":{"resolver":"https://pith.science/pith/EEKMPDEQ6UYHS6PGVHHIBKLHQB","bundle":"https://pith.science/pith/EEKMPDEQ6UYHS6PGVHHIBKLHQB/bundle.json","state":"https://pith.science/pith/EEKMPDEQ6UYHS6PGVHHIBKLHQB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EEKMPDEQ6UYHS6PGVHHIBKLHQB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:EEKMPDEQ6UYHS6PGVHHIBKLHQB","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":"80033acf40fee6b6e55f3129608ff47141ef236cf0b715b702332e350241e5aa","cross_cats_sorted":["astro-ph.GA","gr-qc","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-06-30T20:00:05Z","title_canon_sha256":"fdd0347ece3c182564c2c77fa9c8a716b75dc4e38e2291222f4bd34ab208cedd"},"schema_version":"1.0","source":{"id":"0907.0006","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.0006","created_at":"2026-05-18T04:26:54Z"},{"alias_kind":"arxiv_version","alias_value":"0907.0006v4","created_at":"2026-05-18T04:26:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.0006","created_at":"2026-05-18T04:26:54Z"},{"alias_kind":"pith_short_12","alias_value":"EEKMPDEQ6UYH","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"EEKMPDEQ6UYHS6PG","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"EEKMPDEQ","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:1aee2340fe798a18bd12a8d8ac530d6b723847d4cbe3ecf6a31e8213ff6262a0","target":"graph","created_at":"2026-05-18T04:26:54Z","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":"Cumulative observational evidence confirm that the surface gravity of dark matter (DM) halo mu_{0 D} = r_0 rho_0 where r_0 and rho_0 are the halo core radius and central density, respectively, is nearly constant and independent of galaxy luminosity for a high number of galactic systems (spirals, dwarf irregular and spheroidals, elliptics) spanning over 14 magnitudes in luminosity and of different Hubble types. Remarkably, its numerical value mu_{0 D} = 140 M_{sun}/pc^2 = (18.6 Mev)^3 is approximately the same (up to a factor of two) in all these systems. First, we present the physical conseque","authors_text":"H. J. de Vega, N. G. Sanchez","cross_cats":["astro-ph.GA","gr-qc","hep-ph","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-06-30T20:00:05Z","title":"Constant surface gravity and density profile of dark matter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.0006","kind":"arxiv","version":4},"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:fbbd8558279db0c591649ebd0738d5d92ff1a008dc527e50ab2ea7c271c50bd6","target":"record","created_at":"2026-05-18T04:26:54Z","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":"80033acf40fee6b6e55f3129608ff47141ef236cf0b715b702332e350241e5aa","cross_cats_sorted":["astro-ph.GA","gr-qc","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-06-30T20:00:05Z","title_canon_sha256":"fdd0347ece3c182564c2c77fa9c8a716b75dc4e38e2291222f4bd34ab208cedd"},"schema_version":"1.0","source":{"id":"0907.0006","kind":"arxiv","version":4}},"canonical_sha256":"2114c78c90f5307979e6a9ce80a967805a53bcfaa695337b7e9de44055846613","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2114c78c90f5307979e6a9ce80a967805a53bcfaa695337b7e9de44055846613","first_computed_at":"2026-05-18T04:26:54.792786Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:26:54.792786Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RUguGj1wOR6aZfwxLfZh46qbauVw1g+WL0kD0FdMNwNghe2uGG80ENtMFr0HjsZgfuy1G9IpERe7Dr7ApsU2Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:26:54.793155Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.0006","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbbd8558279db0c591649ebd0738d5d92ff1a008dc527e50ab2ea7c271c50bd6","sha256:1aee2340fe798a18bd12a8d8ac530d6b723847d4cbe3ecf6a31e8213ff6262a0"],"state_sha256":"bdc052b77f4a24061ba0608a03cc65b61a6f0811532f45f1baf04f3a1804ff3d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nuA70qEcvyW7kQXAoBlVlb2VPuZxnYLkMRYjSgR4EMq3WRYRSWjA5LyAAN97xSXxRzWKPw4fsq17fto3N2J+Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T20:02:06.386707Z","bundle_sha256":"f5aea4920afb31e03c1faaf6af2426eca588c0c171e82a3be02bfaa9da82c56b"}}