{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:7Q4LIKS5TKC3UUYI4PZRYJVI2H","short_pith_number":"pith:7Q4LIKS5","canonical_record":{"source":{"id":"1310.5200","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2013-10-19T03:52:48Z","cross_cats_sorted":[],"title_canon_sha256":"6e9062c83bc03f3c14528e2ed040a5ef5d96f9c1c7c5f3c4e76a1cd5242d687e","abstract_canon_sha256":"7f75910d2683bc0fd4332d7b3b7452d1340dbe251ae800ff2d8c1ee3db5877d9"},"schema_version":"1.0"},"canonical_sha256":"fc38b42a5d9a85ba5308e3f31c26a8d1c8a57322a8a198fcc6b292729cce001e","source":{"kind":"arxiv","id":"1310.5200","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.5200","created_at":"2026-05-18T00:52:34Z"},{"alias_kind":"arxiv_version","alias_value":"1310.5200v2","created_at":"2026-05-18T00:52:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.5200","created_at":"2026-05-18T00:52:34Z"},{"alias_kind":"pith_short_12","alias_value":"7Q4LIKS5TKC3","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7Q4LIKS5TKC3UUYI","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7Q4LIKS5","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:7Q4LIKS5TKC3UUYI4PZRYJVI2H","target":"record","payload":{"canonical_record":{"source":{"id":"1310.5200","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2013-10-19T03:52:48Z","cross_cats_sorted":[],"title_canon_sha256":"6e9062c83bc03f3c14528e2ed040a5ef5d96f9c1c7c5f3c4e76a1cd5242d687e","abstract_canon_sha256":"7f75910d2683bc0fd4332d7b3b7452d1340dbe251ae800ff2d8c1ee3db5877d9"},"schema_version":"1.0"},"canonical_sha256":"fc38b42a5d9a85ba5308e3f31c26a8d1c8a57322a8a198fcc6b292729cce001e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:34.702046Z","signature_b64":"k0rknyMtLNGa8Tpasv9O7a3HtNEtHezjlRJypYQIglX3wUPhXVWlTrk6X/HeA6gbYc4cqbObMdmSGn20w3m8DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc38b42a5d9a85ba5308e3f31c26a8d1c8a57322a8a198fcc6b292729cce001e","last_reissued_at":"2026-05-18T00:52:34.701304Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:34.701304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.5200","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":"2026-05-18T00:52:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mZeqKSJ3tDHaT4OboW8uaqqucuEjY753Ci+4pwX5eAPa4HdbzkKGvKxtQTyEa6WSI7cikV4I1+Ew0oDhWAKACg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:31:18.264111Z"},"content_sha256":"bbca0d6a50f0d812ea009bff781ea353a034de72c5b0bbe38fec75a88ea11e90","schema_version":"1.0","event_id":"sha256:bbca0d6a50f0d812ea009bff781ea353a034de72c5b0bbe38fec75a88ea11e90"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:7Q4LIKS5TKC3UUYI4PZRYJVI2H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Magic mass ratios of complete energy-momentum transfer in one-dimensional elastic three-body collisions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"June-Haak Ee, Jungil Lee","submitted_at":"2013-10-19T03:52:48Z","abstract_excerpt":"We consider the one-dimensional scattering of two identical blocks of mass $M$ that exchange energy and momentum via elastic collisions with an intermediary ball of mass $m=\\alpha M$. Initially, one block is incident upon the ball with the other block at rest. For $\\alpha<1$, the three objects will make multiple collisions with one another. In our analysis, we construct a Euclidean vector $\\textbf{V}_n$ whose components are proportional to the velocities of the objects. Energy-momentum conservation then requires a covariant recurrence relation for $\\textbf{V}_n$ that transforms like a pure rot"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.5200","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":"2026-05-18T00:52:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KDsfrXUwigwviROtbCxAOsT/MbDtAM3o0Ayf4ubgOcjACePYZ55to22GOsnDWke+GnU4AhaMss1SwyZooSzgDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:31:18.264476Z"},"content_sha256":"93f3f169ac78ff9d1271f723de2ad1ed3f0d94c45441df88ef7d86c9338c7994","schema_version":"1.0","event_id":"sha256:93f3f169ac78ff9d1271f723de2ad1ed3f0d94c45441df88ef7d86c9338c7994"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7Q4LIKS5TKC3UUYI4PZRYJVI2H/bundle.json","state_url":"https://pith.science/pith/7Q4LIKS5TKC3UUYI4PZRYJVI2H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7Q4LIKS5TKC3UUYI4PZRYJVI2H/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":"2026-06-01T13:31:18Z","links":{"resolver":"https://pith.science/pith/7Q4LIKS5TKC3UUYI4PZRYJVI2H","bundle":"https://pith.science/pith/7Q4LIKS5TKC3UUYI4PZRYJVI2H/bundle.json","state":"https://pith.science/pith/7Q4LIKS5TKC3UUYI4PZRYJVI2H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7Q4LIKS5TKC3UUYI4PZRYJVI2H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7Q4LIKS5TKC3UUYI4PZRYJVI2H","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":"7f75910d2683bc0fd4332d7b3b7452d1340dbe251ae800ff2d8c1ee3db5877d9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2013-10-19T03:52:48Z","title_canon_sha256":"6e9062c83bc03f3c14528e2ed040a5ef5d96f9c1c7c5f3c4e76a1cd5242d687e"},"schema_version":"1.0","source":{"id":"1310.5200","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.5200","created_at":"2026-05-18T00:52:34Z"},{"alias_kind":"arxiv_version","alias_value":"1310.5200v2","created_at":"2026-05-18T00:52:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.5200","created_at":"2026-05-18T00:52:34Z"},{"alias_kind":"pith_short_12","alias_value":"7Q4LIKS5TKC3","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7Q4LIKS5TKC3UUYI","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7Q4LIKS5","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:93f3f169ac78ff9d1271f723de2ad1ed3f0d94c45441df88ef7d86c9338c7994","target":"graph","created_at":"2026-05-18T00:52:34Z","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 consider the one-dimensional scattering of two identical blocks of mass $M$ that exchange energy and momentum via elastic collisions with an intermediary ball of mass $m=\\alpha M$. Initially, one block is incident upon the ball with the other block at rest. For $\\alpha<1$, the three objects will make multiple collisions with one another. In our analysis, we construct a Euclidean vector $\\textbf{V}_n$ whose components are proportional to the velocities of the objects. Energy-momentum conservation then requires a covariant recurrence relation for $\\textbf{V}_n$ that transforms like a pure rot","authors_text":"June-Haak Ee, Jungil Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2013-10-19T03:52:48Z","title":"Magic mass ratios of complete energy-momentum transfer in one-dimensional elastic three-body collisions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.5200","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:bbca0d6a50f0d812ea009bff781ea353a034de72c5b0bbe38fec75a88ea11e90","target":"record","created_at":"2026-05-18T00:52:34Z","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":"7f75910d2683bc0fd4332d7b3b7452d1340dbe251ae800ff2d8c1ee3db5877d9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2013-10-19T03:52:48Z","title_canon_sha256":"6e9062c83bc03f3c14528e2ed040a5ef5d96f9c1c7c5f3c4e76a1cd5242d687e"},"schema_version":"1.0","source":{"id":"1310.5200","kind":"arxiv","version":2}},"canonical_sha256":"fc38b42a5d9a85ba5308e3f31c26a8d1c8a57322a8a198fcc6b292729cce001e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc38b42a5d9a85ba5308e3f31c26a8d1c8a57322a8a198fcc6b292729cce001e","first_computed_at":"2026-05-18T00:52:34.701304Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:34.701304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k0rknyMtLNGa8Tpasv9O7a3HtNEtHezjlRJypYQIglX3wUPhXVWlTrk6X/HeA6gbYc4cqbObMdmSGn20w3m8DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:34.702046Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.5200","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bbca0d6a50f0d812ea009bff781ea353a034de72c5b0bbe38fec75a88ea11e90","sha256:93f3f169ac78ff9d1271f723de2ad1ed3f0d94c45441df88ef7d86c9338c7994"],"state_sha256":"fb1f362299bbc794f809f8cb3b5cd4f06ce14779f3d9fbd86478e17d90754806"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o8Y5XXX3XvteokkVdtgBDWysuWpTPjsUOgnkCuQHeBBvVxDANrRDNCC666ms36UjZWUQOPNj1t83V7nTnuSgCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T13:31:18.266436Z","bundle_sha256":"b080a819d2e1d94d6198787cd0f70b7833eebe3b622a83d57c77ff958300ce73"}}