{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:HX6QMTEAAO4GZWSG3ZULQ25FCW","short_pith_number":"pith:HX6QMTEA","canonical_record":{"source":{"id":"0907.3028","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2009-07-17T09:39:52Z","cross_cats_sorted":[],"title_canon_sha256":"2a0375d3b6e41049d6ddb01cc56df694f507eb558837385b77fc391d98fde0e7","abstract_canon_sha256":"18bb73bae389743192d81d231703607c4dd45d51913a6e665765f2a8c2bc881d"},"schema_version":"1.0"},"canonical_sha256":"3dfd064c8003b86cda46de68b86ba515a6dcb641a3e2310053f21f9e2ef3259c","source":{"kind":"arxiv","id":"0907.3028","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.3028","created_at":"2026-07-04T15:46:16Z"},{"alias_kind":"arxiv_version","alias_value":"0907.3028v1","created_at":"2026-07-04T15:46:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.3028","created_at":"2026-07-04T15:46:16Z"},{"alias_kind":"pith_short_12","alias_value":"HX6QMTEAAO4G","created_at":"2026-07-04T15:46:16Z"},{"alias_kind":"pith_short_16","alias_value":"HX6QMTEAAO4GZWSG","created_at":"2026-07-04T15:46:16Z"},{"alias_kind":"pith_short_8","alias_value":"HX6QMTEA","created_at":"2026-07-04T15:46:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:HX6QMTEAAO4GZWSG3ZULQ25FCW","target":"record","payload":{"canonical_record":{"source":{"id":"0907.3028","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2009-07-17T09:39:52Z","cross_cats_sorted":[],"title_canon_sha256":"2a0375d3b6e41049d6ddb01cc56df694f507eb558837385b77fc391d98fde0e7","abstract_canon_sha256":"18bb73bae389743192d81d231703607c4dd45d51913a6e665765f2a8c2bc881d"},"schema_version":"1.0"},"canonical_sha256":"3dfd064c8003b86cda46de68b86ba515a6dcb641a3e2310053f21f9e2ef3259c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:46:16.844327Z","signature_b64":"CHCZiYbusru9UuaWIqyPSagmKa2AvNAuyyrb5U6uwZaRXY7k5qrcLL27Dmlg3ZjjDouw3NCLA7vMH14W9civBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3dfd064c8003b86cda46de68b86ba515a6dcb641a3e2310053f21f9e2ef3259c","last_reissued_at":"2026-07-04T15:46:16.843942Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:46:16.843942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0907.3028","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":"2026-07-04T15:46:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aenTzd66TSgAyMsoBiPTJ2mLcpyOoOFHaZugAvHE2yrOs+gH+roj8nMMdg0Ws9eXc+1vwDnxWufPtG80QIfnAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T14:27:05.259739Z"},"content_sha256":"5e2fff3a951345c0f5e172473da9e2d3a5a07c778fdc512a6b87968547b1155c","schema_version":"1.0","event_id":"sha256:5e2fff3a951345c0f5e172473da9e2d3a5a07c778fdc512a6b87968547b1155c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:HX6QMTEAAO4GZWSG3ZULQ25FCW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dark matter, MOND or non-local gravity?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.GA","authors_text":"F. Darabi","submitted_at":"2009-07-17T09:39:52Z","abstract_excerpt":"We propose a Machian model of gravitational interaction at galactic scales to explain the rotation curves of these large structures without the need for dark matter or MOND."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.3028","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/0907.3028/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":"2026-07-04T15:46:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MXl3m3++iKqQvbaV0eMw0o9tN6ryklns065mYvedOvurA/Karmx24/IhoIbSIm6mccdJy5dlW65vkEHLtzOPAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T14:27:05.260673Z"},"content_sha256":"e8a56570b7441a52949c51e8eaeb0c68c2e6efe33a6f996cd477ce924d572664","schema_version":"1.0","event_id":"sha256:e8a56570b7441a52949c51e8eaeb0c68c2e6efe33a6f996cd477ce924d572664"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HX6QMTEAAO4GZWSG3ZULQ25FCW/bundle.json","state_url":"https://pith.science/pith/HX6QMTEAAO4GZWSG3ZULQ25FCW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HX6QMTEAAO4GZWSG3ZULQ25FCW/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":"2026-08-04T14:27:05Z","links":{"resolver":"https://pith.science/pith/HX6QMTEAAO4GZWSG3ZULQ25FCW","bundle":"https://pith.science/pith/HX6QMTEAAO4GZWSG3ZULQ25FCW/bundle.json","state":"https://pith.science/pith/HX6QMTEAAO4GZWSG3ZULQ25FCW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HX6QMTEAAO4GZWSG3ZULQ25FCW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:HX6QMTEAAO4GZWSG3ZULQ25FCW","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":"18bb73bae389743192d81d231703607c4dd45d51913a6e665765f2a8c2bc881d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2009-07-17T09:39:52Z","title_canon_sha256":"2a0375d3b6e41049d6ddb01cc56df694f507eb558837385b77fc391d98fde0e7"},"schema_version":"1.0","source":{"id":"0907.3028","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.3028","created_at":"2026-07-04T15:46:16Z"},{"alias_kind":"arxiv_version","alias_value":"0907.3028v1","created_at":"2026-07-04T15:46:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.3028","created_at":"2026-07-04T15:46:16Z"},{"alias_kind":"pith_short_12","alias_value":"HX6QMTEAAO4G","created_at":"2026-07-04T15:46:16Z"},{"alias_kind":"pith_short_16","alias_value":"HX6QMTEAAO4GZWSG","created_at":"2026-07-04T15:46:16Z"},{"alias_kind":"pith_short_8","alias_value":"HX6QMTEA","created_at":"2026-07-04T15:46:16Z"}],"graph_snapshots":[{"event_id":"sha256:e8a56570b7441a52949c51e8eaeb0c68c2e6efe33a6f996cd477ce924d572664","target":"graph","created_at":"2026-07-04T15:46:16Z","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/0907.3028/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a Machian model of gravitational interaction at galactic scales to explain the rotation curves of these large structures without the need for dark matter or MOND.","authors_text":"F. Darabi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2009-07-17T09:39:52Z","title":"Dark matter, MOND or non-local gravity?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.3028","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":"sha256:5e2fff3a951345c0f5e172473da9e2d3a5a07c778fdc512a6b87968547b1155c","target":"record","created_at":"2026-07-04T15:46:16Z","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":"18bb73bae389743192d81d231703607c4dd45d51913a6e665765f2a8c2bc881d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2009-07-17T09:39:52Z","title_canon_sha256":"2a0375d3b6e41049d6ddb01cc56df694f507eb558837385b77fc391d98fde0e7"},"schema_version":"1.0","source":{"id":"0907.3028","kind":"arxiv","version":1}},"canonical_sha256":"3dfd064c8003b86cda46de68b86ba515a6dcb641a3e2310053f21f9e2ef3259c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3dfd064c8003b86cda46de68b86ba515a6dcb641a3e2310053f21f9e2ef3259c","first_computed_at":"2026-07-04T15:46:16.843942Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:46:16.843942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CHCZiYbusru9UuaWIqyPSagmKa2AvNAuyyrb5U6uwZaRXY7k5qrcLL27Dmlg3ZjjDouw3NCLA7vMH14W9civBg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:46:16.844327Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.3028","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e2fff3a951345c0f5e172473da9e2d3a5a07c778fdc512a6b87968547b1155c","sha256:e8a56570b7441a52949c51e8eaeb0c68c2e6efe33a6f996cd477ce924d572664"],"state_sha256":"54e5e5a209442d7db0def0f15752fbc6369d4697f6565dfe249c7035f69ec38c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f7NRUzzCw2/6yxbERAktwCGSlfcUy5FDs/Nh+CfimPlG8o3Bre+y0URKemGogYFP8KFFc22GcChVtl1MkxOcBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T14:27:05.288868Z","bundle_sha256":"9ac3860fd2d7d5757d5aff4434e4c6dd908619743f859e5b6c3037165f5ee3d1"}}