{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:PU4OMMPOKGGQFD7VVO7IQYI6T4","short_pith_number":"pith:PU4OMMPO","canonical_record":{"source":{"id":"0706.0875","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2007-06-06T18:08:51Z","cross_cats_sorted":[],"title_canon_sha256":"fa6e4de25a8e97ab17a974c261ef46214c90b71cda161578705b464fedc1e806","abstract_canon_sha256":"7b4c860fc80a7999ba147fb6b872d1313b7c0e05602e95a4191c3b336791bbb8"},"schema_version":"1.0"},"canonical_sha256":"7d38e631ee518d028ff5abbe88611e9f15876f86f1f6890287146f08e002042a","source":{"kind":"arxiv","id":"0706.0875","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0706.0875","created_at":"2026-07-04T17:04:06Z"},{"alias_kind":"arxiv_version","alias_value":"0706.0875v2","created_at":"2026-07-04T17:04:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.0875","created_at":"2026-07-04T17:04:06Z"},{"alias_kind":"pith_short_12","alias_value":"PU4OMMPOKGGQ","created_at":"2026-07-04T17:04:06Z"},{"alias_kind":"pith_short_16","alias_value":"PU4OMMPOKGGQFD7V","created_at":"2026-07-04T17:04:06Z"},{"alias_kind":"pith_short_8","alias_value":"PU4OMMPO","created_at":"2026-07-04T17:04:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:PU4OMMPOKGGQFD7VVO7IQYI6T4","target":"record","payload":{"canonical_record":{"source":{"id":"0706.0875","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2007-06-06T18:08:51Z","cross_cats_sorted":[],"title_canon_sha256":"fa6e4de25a8e97ab17a974c261ef46214c90b71cda161578705b464fedc1e806","abstract_canon_sha256":"7b4c860fc80a7999ba147fb6b872d1313b7c0e05602e95a4191c3b336791bbb8"},"schema_version":"1.0"},"canonical_sha256":"7d38e631ee518d028ff5abbe88611e9f15876f86f1f6890287146f08e002042a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:04:06.265835Z","signature_b64":"h+DCDXIp9cfJ8PQjMf10HA9GauFJCEso7MyavfLlA+NptZTyuAEYqwTBYAeMyaFH8n8OzSj0YqCAwKGFseG2Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d38e631ee518d028ff5abbe88611e9f15876f86f1f6890287146f08e002042a","last_reissued_at":"2026-07-04T17:04:06.265429Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:04:06.265429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0706.0875","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:04:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5whcat5cBHSAiaW8ey5dazZoFCl708EStLGkg1/xwAQyz1Ec830MOIg86hMxdhbj7kj1N0dsQs+05U5x1fPODw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T08:59:49.015115Z"},"content_sha256":"58d1fb0a45d305880b48d818a5db802ccd2a49867f032dcc7cec135ff2cb8cfb","schema_version":"1.0","event_id":"sha256:58d1fb0a45d305880b48d818a5db802ccd2a49867f032dcc7cec135ff2cb8cfb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:PU4OMMPOKGGQFD7VVO7IQYI6T4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"MOND and the mass discrepancies in tidal dwarf galaxies","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Mordehai Milgrom","submitted_at":"2007-06-06T18:08:51Z","abstract_excerpt":"I consider in light of MOND the three debris galaxies discussed recently by Bournaud et al.. These exhibit mass discrepancies of a factor of a few within several scale lengths of the visible galaxy, which, arguably, flies in the face of the cold dark matter paradigm. I show here that the rotational velocities predicted by MOND agree well with the observed velocities for each of the three galaxies, with only the observed baryonic matter as the source of gravity. There is thus no need to invoke a new form of baryonic, yet-undetected matter that dominates the disc of spiral galaxies, as advocated"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.0875","kind":"arxiv","version":2},"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/0706.0875/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":"2026-07-04T17:04:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ui8gzz86JRazVFjoehZL+2IP0Fp8pcHxEIBnemARKHfQyjKE7/afkh/Zl6gGwE9ytoLP5GXOAsZUypq9jpo6BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T08:59:49.015415Z"},"content_sha256":"63d2f0cd2881f1b649add5dab5ab8d573f7dfdf8696889ec2020fc8326ac706e","schema_version":"1.0","event_id":"sha256:63d2f0cd2881f1b649add5dab5ab8d573f7dfdf8696889ec2020fc8326ac706e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PU4OMMPOKGGQFD7VVO7IQYI6T4/bundle.json","state_url":"https://pith.science/pith/PU4OMMPOKGGQFD7VVO7IQYI6T4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PU4OMMPOKGGQFD7VVO7IQYI6T4/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":"2026-08-01T08:59:49Z","links":{"resolver":"https://pith.science/pith/PU4OMMPOKGGQFD7VVO7IQYI6T4","bundle":"https://pith.science/pith/PU4OMMPOKGGQFD7VVO7IQYI6T4/bundle.json","state":"https://pith.science/pith/PU4OMMPOKGGQFD7VVO7IQYI6T4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PU4OMMPOKGGQFD7VVO7IQYI6T4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:PU4OMMPOKGGQFD7VVO7IQYI6T4","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":"7b4c860fc80a7999ba147fb6b872d1313b7c0e05602e95a4191c3b336791bbb8","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2007-06-06T18:08:51Z","title_canon_sha256":"fa6e4de25a8e97ab17a974c261ef46214c90b71cda161578705b464fedc1e806"},"schema_version":"1.0","source":{"id":"0706.0875","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0706.0875","created_at":"2026-07-04T17:04:06Z"},{"alias_kind":"arxiv_version","alias_value":"0706.0875v2","created_at":"2026-07-04T17:04:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.0875","created_at":"2026-07-04T17:04:06Z"},{"alias_kind":"pith_short_12","alias_value":"PU4OMMPOKGGQ","created_at":"2026-07-04T17:04:06Z"},{"alias_kind":"pith_short_16","alias_value":"PU4OMMPOKGGQFD7V","created_at":"2026-07-04T17:04:06Z"},{"alias_kind":"pith_short_8","alias_value":"PU4OMMPO","created_at":"2026-07-04T17:04:06Z"}],"graph_snapshots":[{"event_id":"sha256:63d2f0cd2881f1b649add5dab5ab8d573f7dfdf8696889ec2020fc8326ac706e","target":"graph","created_at":"2026-07-04T17:04:06Z","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/0706.0875/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"I consider in light of MOND the three debris galaxies discussed recently by Bournaud et al.. These exhibit mass discrepancies of a factor of a few within several scale lengths of the visible galaxy, which, arguably, flies in the face of the cold dark matter paradigm. I show here that the rotational velocities predicted by MOND agree well with the observed velocities for each of the three galaxies, with only the observed baryonic matter as the source of gravity. There is thus no need to invoke a new form of baryonic, yet-undetected matter that dominates the disc of spiral galaxies, as advocated","authors_text":"Mordehai Milgrom","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2007-06-06T18:08:51Z","title":"MOND and the mass discrepancies in tidal dwarf galaxies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.0875","kind":"arxiv","version":2},"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":"sha256:58d1fb0a45d305880b48d818a5db802ccd2a49867f032dcc7cec135ff2cb8cfb","target":"record","created_at":"2026-07-04T17:04:06Z","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":"7b4c860fc80a7999ba147fb6b872d1313b7c0e05602e95a4191c3b336791bbb8","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2007-06-06T18:08:51Z","title_canon_sha256":"fa6e4de25a8e97ab17a974c261ef46214c90b71cda161578705b464fedc1e806"},"schema_version":"1.0","source":{"id":"0706.0875","kind":"arxiv","version":2}},"canonical_sha256":"7d38e631ee518d028ff5abbe88611e9f15876f86f1f6890287146f08e002042a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d38e631ee518d028ff5abbe88611e9f15876f86f1f6890287146f08e002042a","first_computed_at":"2026-07-04T17:04:06.265429Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:04:06.265429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h+DCDXIp9cfJ8PQjMf10HA9GauFJCEso7MyavfLlA+NptZTyuAEYqwTBYAeMyaFH8n8OzSj0YqCAwKGFseG2Cw==","signature_status":"signed_v1","signed_at":"2026-07-04T17:04:06.265835Z","signed_message":"canonical_sha256_bytes"},"source_id":"0706.0875","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58d1fb0a45d305880b48d818a5db802ccd2a49867f032dcc7cec135ff2cb8cfb","sha256:63d2f0cd2881f1b649add5dab5ab8d573f7dfdf8696889ec2020fc8326ac706e"],"state_sha256":"575bc9b167a91e294f5848d653d8e56c1e40fa5556cabe6c20894781129f8885"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v+hdcriIiCusIzTCYkIuW9Oc31AadPxOj7i0Qux0dU48oqHJ5dP3div2nUfbg9pUAvmnm72hzp2eloUy2+e8Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T08:59:49.018432Z","bundle_sha256":"612a7ccdbf47e7501ff6251f9bbe775888caf13d49d7ee328d0e3522bfdbfb23"}}