{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:6HPJUIDG7QH24CUPFDAQB5GOST","short_pith_number":"pith:6HPJUIDG","canonical_record":{"source":{"id":"gr-qc/0312054","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2003-12-09T16:19:00Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"3d158eafe034f4d9a1774ac61a04fad6e10e24d7700193f832216b48ea6d5e2f","abstract_canon_sha256":"3f3b0f5c6f3776f947e0e4eca041dbec7ab804770b31aa871a6ea0f7d8f32403"},"schema_version":"1.0"},"canonical_sha256":"f1de9a2066fc0fae0a8f28c100f4ce94eb3d4ec62e3b12e67475c961b41534c0","source":{"kind":"arxiv","id":"gr-qc/0312054","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0312054","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0312054v3","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0312054","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"pith_short_12","alias_value":"6HPJUIDG7QH2","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"6HPJUIDG7QH24CUP","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"6HPJUIDG","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:6HPJUIDG7QH24CUPFDAQB5GOST","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0312054","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2003-12-09T16:19:00Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"3d158eafe034f4d9a1774ac61a04fad6e10e24d7700193f832216b48ea6d5e2f","abstract_canon_sha256":"3f3b0f5c6f3776f947e0e4eca041dbec7ab804770b31aa871a6ea0f7d8f32403"},"schema_version":"1.0"},"canonical_sha256":"f1de9a2066fc0fae0a8f28c100f4ce94eb3d4ec62e3b12e67475c961b41534c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:34.720650Z","signature_b64":"f3vmR0B472iq12ymvjyVrnIKjnOVXJD/Wq9tK1CDyLKyKWv4u9v907noiakbbQNnHET6yHPBuLoyrT9JVPCDAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1de9a2066fc0fae0a8f28c100f4ce94eb3d4ec62e3b12e67475c961b41534c0","last_reissued_at":"2026-05-18T04:35:34.719978Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:34.719978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0312054","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:35:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A3GWw6r0avDy06KjXLB8CPsnjYBpN8fE90Abpunc3AYfc5rsPZDN7eZ01UAr6g48Rx7PCxQnGU8cdsQf5ckgBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T13:49:01.608279Z"},"content_sha256":"64ad0e1e20113466f3831ba6b42cc69dd77de271ae9334b936fa86c642feca87","schema_version":"1.0","event_id":"sha256:64ad0e1e20113466f3831ba6b42cc69dd77de271ae9334b936fa86c642feca87"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:6HPJUIDG7QH24CUPFDAQB5GOST","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Einstein-like theory of gravity with a non-newtonian weak-field limit","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"gr-qc","authors_text":"Mariano Cadoni","submitted_at":"2003-12-09T16:19:00Z","abstract_excerpt":"We propose a model describing Einstein gravity coupled to a scalar field with an exponential potential. We show that the weak-field limit of the model has static solutions given by a gravitational potential behaving for large distances as \\ln r . The Newtonian term GM/r appears only as subleading. Our model can be used to give a phenomenological explanation of the rotation curves of the galaxies without postulating the presence of dark matter. This can be achieved only by giving up at galactic scales Einstein equivalence principle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0312054","kind":"arxiv","version":3},"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":"2026-05-18T04:35:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"slVGh1+RAlwcw5Q+v5RJ9yqBljnQb5mQYFcchRbHLckiB7TWbJEdi4m4AHlf9frEd3YmdqPU9eyGTgF+LvGFDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T13:49:01.608789Z"},"content_sha256":"1a22abd0880da9fb35258309d57db417e9d73327e041fb24b4650dd0441a053f","schema_version":"1.0","event_id":"sha256:1a22abd0880da9fb35258309d57db417e9d73327e041fb24b4650dd0441a053f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6HPJUIDG7QH24CUPFDAQB5GOST/bundle.json","state_url":"https://pith.science/pith/6HPJUIDG7QH24CUPFDAQB5GOST/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6HPJUIDG7QH24CUPFDAQB5GOST/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":"2026-05-26T13:49:01Z","links":{"resolver":"https://pith.science/pith/6HPJUIDG7QH24CUPFDAQB5GOST","bundle":"https://pith.science/pith/6HPJUIDG7QH24CUPFDAQB5GOST/bundle.json","state":"https://pith.science/pith/6HPJUIDG7QH24CUPFDAQB5GOST/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6HPJUIDG7QH24CUPFDAQB5GOST/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:6HPJUIDG7QH24CUPFDAQB5GOST","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":"3f3b0f5c6f3776f947e0e4eca041dbec7ab804770b31aa871a6ea0f7d8f32403","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"gr-qc","submitted_at":"2003-12-09T16:19:00Z","title_canon_sha256":"3d158eafe034f4d9a1774ac61a04fad6e10e24d7700193f832216b48ea6d5e2f"},"schema_version":"1.0","source":{"id":"gr-qc/0312054","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0312054","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0312054v3","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0312054","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"pith_short_12","alias_value":"6HPJUIDG7QH2","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"6HPJUIDG7QH24CUP","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"6HPJUIDG","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:1a22abd0880da9fb35258309d57db417e9d73327e041fb24b4650dd0441a053f","target":"graph","created_at":"2026-05-18T04:35:34Z","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 propose a model describing Einstein gravity coupled to a scalar field with an exponential potential. We show that the weak-field limit of the model has static solutions given by a gravitational potential behaving for large distances as \\ln r . The Newtonian term GM/r appears only as subleading. Our model can be used to give a phenomenological explanation of the rotation curves of the galaxies without postulating the presence of dark matter. This can be achieved only by giving up at galactic scales Einstein equivalence principle.","authors_text":"Mariano Cadoni","cross_cats":["astro-ph"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2003-12-09T16:19:00Z","title":"An Einstein-like theory of gravity with a non-newtonian weak-field limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0312054","kind":"arxiv","version":3},"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":"sha256:64ad0e1e20113466f3831ba6b42cc69dd77de271ae9334b936fa86c642feca87","target":"record","created_at":"2026-05-18T04:35:34Z","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":"3f3b0f5c6f3776f947e0e4eca041dbec7ab804770b31aa871a6ea0f7d8f32403","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"gr-qc","submitted_at":"2003-12-09T16:19:00Z","title_canon_sha256":"3d158eafe034f4d9a1774ac61a04fad6e10e24d7700193f832216b48ea6d5e2f"},"schema_version":"1.0","source":{"id":"gr-qc/0312054","kind":"arxiv","version":3}},"canonical_sha256":"f1de9a2066fc0fae0a8f28c100f4ce94eb3d4ec62e3b12e67475c961b41534c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1de9a2066fc0fae0a8f28c100f4ce94eb3d4ec62e3b12e67475c961b41534c0","first_computed_at":"2026-05-18T04:35:34.719978Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:34.719978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f3vmR0B472iq12ymvjyVrnIKjnOVXJD/Wq9tK1CDyLKyKWv4u9v907noiakbbQNnHET6yHPBuLoyrT9JVPCDAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:34.720650Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0312054","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64ad0e1e20113466f3831ba6b42cc69dd77de271ae9334b936fa86c642feca87","sha256:1a22abd0880da9fb35258309d57db417e9d73327e041fb24b4650dd0441a053f"],"state_sha256":"4554e7ba64b325bebd60371c0c215df59a4db7b0b48e246d3e91d49422365a95"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"USzJKc7KjEGKShNE1EAbFflBWRmQrQAm35lFeh69FbIBZ69EI42x20NJ2tkJvGi6NtYb88MmRQF3tNOmK8i9DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T13:49:01.611632Z","bundle_sha256":"1a6133a4264b7131861bb5bf724053f8ef509b0f12409c0adcc1ed9e14886167"}}