{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:PXRJY433CH5BD3K3M3ENEGGQKX","short_pith_number":"pith:PXRJY433","canonical_record":{"source":{"id":"1302.1126","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-02-05T17:31:00Z","cross_cats_sorted":[],"title_canon_sha256":"694f9238842fc5f9088f5106ed0e03a5e227cc0e84fd481e9fd0765172c053a4","abstract_canon_sha256":"d48f5d8c922a4cb413376918437d1dc9b6b0b950338b9ea2ba5e7c618f63a428"},"schema_version":"1.0"},"canonical_sha256":"7de29c737b11fa11ed5b66c8d218d055fa19e88e685c200dddcb1ef7a6575da9","source":{"kind":"arxiv","id":"1302.1126","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.1126","created_at":"2026-05-18T03:21:10Z"},{"alias_kind":"arxiv_version","alias_value":"1302.1126v1","created_at":"2026-05-18T03:21:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.1126","created_at":"2026-05-18T03:21:10Z"},{"alias_kind":"pith_short_12","alias_value":"PXRJY433CH5B","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"PXRJY433CH5BD3K3","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"PXRJY433","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:PXRJY433CH5BD3K3M3ENEGGQKX","target":"record","payload":{"canonical_record":{"source":{"id":"1302.1126","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-02-05T17:31:00Z","cross_cats_sorted":[],"title_canon_sha256":"694f9238842fc5f9088f5106ed0e03a5e227cc0e84fd481e9fd0765172c053a4","abstract_canon_sha256":"d48f5d8c922a4cb413376918437d1dc9b6b0b950338b9ea2ba5e7c618f63a428"},"schema_version":"1.0"},"canonical_sha256":"7de29c737b11fa11ed5b66c8d218d055fa19e88e685c200dddcb1ef7a6575da9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:21:10.258530Z","signature_b64":"tk2hs+lcJqnKAHLKmUHmjYTbqqQ1gfvomvFdK+7nzJwZ1WWr8Xqnu/lZIvWYyqp5giG9m8yzHhJzit/ZhwtwCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7de29c737b11fa11ed5b66c8d218d055fa19e88e685c200dddcb1ef7a6575da9","last_reissued_at":"2026-05-18T03:21:10.257466Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:21:10.257466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.1126","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:21:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fgkNkLsWZjM9K5iY4H0tP0sYRJDanshP30f6Fygr0nPUFLyrA/Tt7HKi/TKAzSIbwHToog60fRi4/Ia5O2RqCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:14:23.864645Z"},"content_sha256":"0e975a160f1f95a92546e477b48a5117fb4a31a3c88f7a562fba509f6dc630d6","schema_version":"1.0","event_id":"sha256:0e975a160f1f95a92546e477b48a5117fb4a31a3c88f7a562fba509f6dc630d6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:PXRJY433CH5BD3K3M3ENEGGQKX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reversible Simulations of Elastic Collisions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Kalyan S. Perumalla, Vladimir A. Protopopescu","submitted_at":"2013-02-05T17:31:00Z","abstract_excerpt":"Consider a system of N identical hard spherical particles moving in a d-dimensional box and undergoing elastic, possibly multi-particle, collisions. We develop a new algorithm that recovers the pre-collision state from the post-collision state of the system, across a series of consecutive collisions, with essentially no memory overhead. The challenge in achieving reversibility for an n-particle collision (where, n << N) arises from the presence of nd-d-1 degrees of freedom during each collision, and from the complex geometrical constraints placed on the colliding particles. To reverse the coll"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.1126","kind":"arxiv","version":1},"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":"2026-05-18T03:21:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FXuIQ9KppGKEjR3eL9q8SVA+ILJo1cCRwX92i2whTuT4Tn9xtYOgTSZzetaOwujsZYOTlv1NsiM+Apzl7fIsDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:14:23.865039Z"},"content_sha256":"2a97af6472f5d5f3b378da5fc9461157a0098c611de40ef70e7e3684ede0eda9","schema_version":"1.0","event_id":"sha256:2a97af6472f5d5f3b378da5fc9461157a0098c611de40ef70e7e3684ede0eda9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PXRJY433CH5BD3K3M3ENEGGQKX/bundle.json","state_url":"https://pith.science/pith/PXRJY433CH5BD3K3M3ENEGGQKX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PXRJY433CH5BD3K3M3ENEGGQKX/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":"2026-06-10T05:14:23Z","links":{"resolver":"https://pith.science/pith/PXRJY433CH5BD3K3M3ENEGGQKX","bundle":"https://pith.science/pith/PXRJY433CH5BD3K3M3ENEGGQKX/bundle.json","state":"https://pith.science/pith/PXRJY433CH5BD3K3M3ENEGGQKX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PXRJY433CH5BD3K3M3ENEGGQKX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:PXRJY433CH5BD3K3M3ENEGGQKX","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":"d48f5d8c922a4cb413376918437d1dc9b6b0b950338b9ea2ba5e7c618f63a428","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-02-05T17:31:00Z","title_canon_sha256":"694f9238842fc5f9088f5106ed0e03a5e227cc0e84fd481e9fd0765172c053a4"},"schema_version":"1.0","source":{"id":"1302.1126","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.1126","created_at":"2026-05-18T03:21:10Z"},{"alias_kind":"arxiv_version","alias_value":"1302.1126v1","created_at":"2026-05-18T03:21:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.1126","created_at":"2026-05-18T03:21:10Z"},{"alias_kind":"pith_short_12","alias_value":"PXRJY433CH5B","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"PXRJY433CH5BD3K3","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"PXRJY433","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:2a97af6472f5d5f3b378da5fc9461157a0098c611de40ef70e7e3684ede0eda9","target":"graph","created_at":"2026-05-18T03:21:10Z","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":"Consider a system of N identical hard spherical particles moving in a d-dimensional box and undergoing elastic, possibly multi-particle, collisions. We develop a new algorithm that recovers the pre-collision state from the post-collision state of the system, across a series of consecutive collisions, with essentially no memory overhead. The challenge in achieving reversibility for an n-particle collision (where, n << N) arises from the presence of nd-d-1 degrees of freedom during each collision, and from the complex geometrical constraints placed on the colliding particles. To reverse the coll","authors_text":"Kalyan S. Perumalla, Vladimir A. Protopopescu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-02-05T17:31:00Z","title":"Reversible Simulations of Elastic Collisions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.1126","kind":"arxiv","version":1},"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":"sha256:0e975a160f1f95a92546e477b48a5117fb4a31a3c88f7a562fba509f6dc630d6","target":"record","created_at":"2026-05-18T03:21:10Z","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":"d48f5d8c922a4cb413376918437d1dc9b6b0b950338b9ea2ba5e7c618f63a428","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-02-05T17:31:00Z","title_canon_sha256":"694f9238842fc5f9088f5106ed0e03a5e227cc0e84fd481e9fd0765172c053a4"},"schema_version":"1.0","source":{"id":"1302.1126","kind":"arxiv","version":1}},"canonical_sha256":"7de29c737b11fa11ed5b66c8d218d055fa19e88e685c200dddcb1ef7a6575da9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7de29c737b11fa11ed5b66c8d218d055fa19e88e685c200dddcb1ef7a6575da9","first_computed_at":"2026-05-18T03:21:10.257466Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:10.257466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tk2hs+lcJqnKAHLKmUHmjYTbqqQ1gfvomvFdK+7nzJwZ1WWr8Xqnu/lZIvWYyqp5giG9m8yzHhJzit/ZhwtwCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:10.258530Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.1126","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e975a160f1f95a92546e477b48a5117fb4a31a3c88f7a562fba509f6dc630d6","sha256:2a97af6472f5d5f3b378da5fc9461157a0098c611de40ef70e7e3684ede0eda9"],"state_sha256":"f2b1784277c9f1d86421bfb0b28a834214f0822e9a7e5c8cf02b02c918ad52ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wkHlJemu6Isqd2M0Tc7lG1qw1yRqsMDPcpVA/X5/Kr/4YR89jM2EcPs7/1d6W+WILQEDJceUVvlpyg+rhuELDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T05:14:23.867477Z","bundle_sha256":"981fca86c6138759ad1ab8c7253c1661ba8e41d470d449500f2472ee97a5e390"}}