{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:FOJ67WNBUKK3TV3ZGOIOYW73FI","short_pith_number":"pith:FOJ67WNB","schema_version":"1.0","canonical_sha256":"2b93efd9a1a295b9d7793390ec5bfb2a11fdc906da3ce1c1f11ce23e981c047b","source":{"kind":"arxiv","id":"gr-qc/0211021","version":2},"attestation_state":"computed","paper":{"title":"Scale-Invariant Gravity: Particle Dynamics","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Julian Barbour","submitted_at":"2002-11-06T20:43:56Z","abstract_excerpt":"A new and universal method for implementing scale invariance, called best matching, is presented. It extends to scaling the method introduced by Bertotti and the author to create a fully relational dynamics that satisfies Mach's principle. The method is illustrated here in the context of non-relativistic gravitational particle dynamics.. It leads to far stronger predictions than general Newtonian dynamics. The energy and angular momentum of an `island universe' must be exactly zero and its size, measured by its moment of inertia, cannot change. This constancy is enforced because the scale inva"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"gr-qc/0211021","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2002-11-06T20:43:56Z","cross_cats_sorted":[],"title_canon_sha256":"0daadf487553b6e54488910b32a7dee6941aa78762ee30b30ef007cec5b2b71b","abstract_canon_sha256":"b8a90493958100042448a4165f9449eed06fffacc6100ca4493050ab8e0366cd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:00.100628Z","signature_b64":"m9lJJ7OvjAfp6JY7Nmo5MfGadIkLxVQG76ZQsDfh3hmkxzMllDrhlZKHY5Ks0C4AMuYht/2PDNmlgZQhnB92Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b93efd9a1a295b9d7793390ec5bfb2a11fdc906da3ce1c1f11ce23e981c047b","last_reissued_at":"2026-05-18T00:37:00.100192Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:00.100192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scale-Invariant Gravity: Particle Dynamics","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Julian Barbour","submitted_at":"2002-11-06T20:43:56Z","abstract_excerpt":"A new and universal method for implementing scale invariance, called best matching, is presented. It extends to scaling the method introduced by Bertotti and the author to create a fully relational dynamics that satisfies Mach's principle. The method is illustrated here in the context of non-relativistic gravitational particle dynamics.. It leads to far stronger predictions than general Newtonian dynamics. The energy and angular momentum of an `island universe' must be exactly zero and its size, measured by its moment of inertia, cannot change. This constancy is enforced because the scale inva"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0211021","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0211021","created_at":"2026-05-18T00:37:00.100260+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0211021v2","created_at":"2026-05-18T00:37:00.100260+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0211021","created_at":"2026-05-18T00:37:00.100260+00:00"},{"alias_kind":"pith_short_12","alias_value":"FOJ67WNBUKK3","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_16","alias_value":"FOJ67WNBUKK3TV3Z","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_8","alias_value":"FOJ67WNB","created_at":"2026-05-18T12:25:50.845339+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2608.07672","citing_title":"Classical fractons with cosmological fixed points","ref_index":54,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FOJ67WNBUKK3TV3ZGOIOYW73FI","json":"https://pith.science/pith/FOJ67WNBUKK3TV3ZGOIOYW73FI.json","graph_json":"https://pith.science/api/pith-number/FOJ67WNBUKK3TV3ZGOIOYW73FI/graph.json","events_json":"https://pith.science/api/pith-number/FOJ67WNBUKK3TV3ZGOIOYW73FI/events.json","paper":"https://pith.science/paper/FOJ67WNB"},"agent_actions":{"view_html":"https://pith.science/pith/FOJ67WNBUKK3TV3ZGOIOYW73FI","download_json":"https://pith.science/pith/FOJ67WNBUKK3TV3ZGOIOYW73FI.json","view_paper":"https://pith.science/paper/FOJ67WNB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0211021&json=true","fetch_graph":"https://pith.science/api/pith-number/FOJ67WNBUKK3TV3ZGOIOYW73FI/graph.json","fetch_events":"https://pith.science/api/pith-number/FOJ67WNBUKK3TV3ZGOIOYW73FI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FOJ67WNBUKK3TV3ZGOIOYW73FI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FOJ67WNBUKK3TV3ZGOIOYW73FI/action/storage_attestation","attest_author":"https://pith.science/pith/FOJ67WNBUKK3TV3ZGOIOYW73FI/action/author_attestation","sign_citation":"https://pith.science/pith/FOJ67WNBUKK3TV3ZGOIOYW73FI/action/citation_signature","submit_replication":"https://pith.science/pith/FOJ67WNBUKK3TV3ZGOIOYW73FI/action/replication_record"}},"created_at":"2026-05-18T00:37:00.100260+00:00","updated_at":"2026-05-18T00:37:00.100260+00:00"}