{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:TBSS7NK6SCJSTIUXY4SOL73Q2B","short_pith_number":"pith:TBSS7NK6","canonical_record":{"source":{"id":"1810.05264","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2018-10-11T21:41:12Z","cross_cats_sorted":[],"title_canon_sha256":"1846aa527b7ecf06b66255c07a3d91cbdfc3094a3a861aaece769efb39c7a50a","abstract_canon_sha256":"2e092afd15e217c827e30dbeb0cdc0645f5565f261358c991a4e2512a777c60a"},"schema_version":"1.0"},"canonical_sha256":"98652fb55e909329a297c724e5ff70d069ba8e7e65a3446dc4b214a0329b4f34","source":{"kind":"arxiv","id":"1810.05264","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.05264","created_at":"2026-05-17T23:56:45Z"},{"alias_kind":"arxiv_version","alias_value":"1810.05264v2","created_at":"2026-05-17T23:56:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.05264","created_at":"2026-05-17T23:56:45Z"},{"alias_kind":"pith_short_12","alias_value":"TBSS7NK6SCJS","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"TBSS7NK6SCJSTIUX","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"TBSS7NK6","created_at":"2026-05-18T12:32:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:TBSS7NK6SCJSTIUXY4SOL73Q2B","target":"record","payload":{"canonical_record":{"source":{"id":"1810.05264","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2018-10-11T21:41:12Z","cross_cats_sorted":[],"title_canon_sha256":"1846aa527b7ecf06b66255c07a3d91cbdfc3094a3a861aaece769efb39c7a50a","abstract_canon_sha256":"2e092afd15e217c827e30dbeb0cdc0645f5565f261358c991a4e2512a777c60a"},"schema_version":"1.0"},"canonical_sha256":"98652fb55e909329a297c724e5ff70d069ba8e7e65a3446dc4b214a0329b4f34","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:45.316116Z","signature_b64":"IugCjMOUfvGFZbTqFjQM07x0vT4KuyMqZ5FAsK1tjm85ixJsEuTcXOowLZrTdnKYVS+MAFj6cA4Humo4Ub/oAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98652fb55e909329a297c724e5ff70d069ba8e7e65a3446dc4b214a0329b4f34","last_reissued_at":"2026-05-17T23:56:45.315756Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:45.315756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.05264","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":"2026-05-17T23:56:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"my+iuVW//s3EbuekTwP6Jq6V98CbFi8dRZyW04FFw2qhBPsHtpGKmLt0TT5UNH2EBL6kX9df47Pk2OdRuhXWBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T05:31:27.328310Z"},"content_sha256":"a2f836e259c209ef957ed8156b0b6a498112b195bbbaec302fd4d3266f29937c","schema_version":"1.0","event_id":"sha256:a2f836e259c209ef957ed8156b0b6a498112b195bbbaec302fd4d3266f29937c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:TBSS7NK6SCJSTIUXY4SOL73Q2B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Newton's graphical method as a canonical transformation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.hist-ph","authors_text":"Siu A. Chin","submitted_at":"2018-10-11T21:41:12Z","abstract_excerpt":"This work shows that, Newton's Proposition 1 in the {\\it Principia}, is an {\\it exact} graphical representation of a canonical transformation, a first-order symplectic integrator generated at a finite time-step by the Hamiltonian. A fundamental characteristic of this canonical transformation is to update the position and velocity vectors {\\it sequentially}, thereby automatically conserving the phase-volume and the areal velocity due to a central force. As a consequence, the continuous force is naturally replaced by a series of impulses. The convergence of Newton's Proposition 1 in the limit of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.05264","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:56:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qzGQB5f+yW0ND500433uJFNFVvwba20z6J3QKJjLfMXHyUaO7qIzfZk0HpTWW65Oz/LjBfBKlt/Fj4Rgcuk6Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T05:31:27.328996Z"},"content_sha256":"bbac413ccb475c585097b504c31b3ef53ec63843ba070374fdc6beb7d40aab24","schema_version":"1.0","event_id":"sha256:bbac413ccb475c585097b504c31b3ef53ec63843ba070374fdc6beb7d40aab24"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TBSS7NK6SCJSTIUXY4SOL73Q2B/bundle.json","state_url":"https://pith.science/pith/TBSS7NK6SCJSTIUXY4SOL73Q2B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TBSS7NK6SCJSTIUXY4SOL73Q2B/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":"2026-05-24T05:31:27Z","links":{"resolver":"https://pith.science/pith/TBSS7NK6SCJSTIUXY4SOL73Q2B","bundle":"https://pith.science/pith/TBSS7NK6SCJSTIUXY4SOL73Q2B/bundle.json","state":"https://pith.science/pith/TBSS7NK6SCJSTIUXY4SOL73Q2B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TBSS7NK6SCJSTIUXY4SOL73Q2B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:TBSS7NK6SCJSTIUXY4SOL73Q2B","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":"2e092afd15e217c827e30dbeb0cdc0645f5565f261358c991a4e2512a777c60a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2018-10-11T21:41:12Z","title_canon_sha256":"1846aa527b7ecf06b66255c07a3d91cbdfc3094a3a861aaece769efb39c7a50a"},"schema_version":"1.0","source":{"id":"1810.05264","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.05264","created_at":"2026-05-17T23:56:45Z"},{"alias_kind":"arxiv_version","alias_value":"1810.05264v2","created_at":"2026-05-17T23:56:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.05264","created_at":"2026-05-17T23:56:45Z"},{"alias_kind":"pith_short_12","alias_value":"TBSS7NK6SCJS","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"TBSS7NK6SCJSTIUX","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"TBSS7NK6","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:bbac413ccb475c585097b504c31b3ef53ec63843ba070374fdc6beb7d40aab24","target":"graph","created_at":"2026-05-17T23:56:45Z","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":"This work shows that, Newton's Proposition 1 in the {\\it Principia}, is an {\\it exact} graphical representation of a canonical transformation, a first-order symplectic integrator generated at a finite time-step by the Hamiltonian. A fundamental characteristic of this canonical transformation is to update the position and velocity vectors {\\it sequentially}, thereby automatically conserving the phase-volume and the areal velocity due to a central force. As a consequence, the continuous force is naturally replaced by a series of impulses. The convergence of Newton's Proposition 1 in the limit of","authors_text":"Siu A. Chin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2018-10-11T21:41:12Z","title":"Newton's graphical method as a canonical transformation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.05264","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:a2f836e259c209ef957ed8156b0b6a498112b195bbbaec302fd4d3266f29937c","target":"record","created_at":"2026-05-17T23:56:45Z","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":"2e092afd15e217c827e30dbeb0cdc0645f5565f261358c991a4e2512a777c60a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2018-10-11T21:41:12Z","title_canon_sha256":"1846aa527b7ecf06b66255c07a3d91cbdfc3094a3a861aaece769efb39c7a50a"},"schema_version":"1.0","source":{"id":"1810.05264","kind":"arxiv","version":2}},"canonical_sha256":"98652fb55e909329a297c724e5ff70d069ba8e7e65a3446dc4b214a0329b4f34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98652fb55e909329a297c724e5ff70d069ba8e7e65a3446dc4b214a0329b4f34","first_computed_at":"2026-05-17T23:56:45.315756Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:45.315756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IugCjMOUfvGFZbTqFjQM07x0vT4KuyMqZ5FAsK1tjm85ixJsEuTcXOowLZrTdnKYVS+MAFj6cA4Humo4Ub/oAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:45.316116Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.05264","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2f836e259c209ef957ed8156b0b6a498112b195bbbaec302fd4d3266f29937c","sha256:bbac413ccb475c585097b504c31b3ef53ec63843ba070374fdc6beb7d40aab24"],"state_sha256":"7eabaed82427bb1867845919b816349f3083897bc92eedece762cce0dca48bf5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ScFF645CPFVaTV/Ot8BBL5MWpbzfpYiEAqovl1RbnTxsRRqmhy2YpB0AA8gzh9hL3se0bjXzdUimpW/hcjQyCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T05:31:27.332768Z","bundle_sha256":"e883db7d485d628ec09f826828d9788e00be6c2639960e3a3ab0100689b7872f"}}