{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:RSBNQMMYS6PLL2PXQHLAESW74P","short_pith_number":"pith:RSBNQMMY","canonical_record":{"source":{"id":"1405.1902","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2014-05-08T12:15:59Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"3245c869e9296e30bde3729fbfe17219b810f7d00bc6668819bdb00f9353ce73","abstract_canon_sha256":"fea7beef0f02f6005040a8b64ccdf8daec3a9f1f8bc5c8471da84d2e6e4840cc"},"schema_version":"1.0"},"canonical_sha256":"8c82d83198979eb5e9f781d6024adfe3dd6ca652f106d4aa1e2ba774e37e2a38","source":{"kind":"arxiv","id":"1405.1902","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.1902","created_at":"2026-05-18T02:52:15Z"},{"alias_kind":"arxiv_version","alias_value":"1405.1902v1","created_at":"2026-05-18T02:52:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.1902","created_at":"2026-05-18T02:52:15Z"},{"alias_kind":"pith_short_12","alias_value":"RSBNQMMYS6PL","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RSBNQMMYS6PLL2PX","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RSBNQMMY","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:RSBNQMMYS6PLL2PXQHLAESW74P","target":"record","payload":{"canonical_record":{"source":{"id":"1405.1902","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2014-05-08T12:15:59Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"3245c869e9296e30bde3729fbfe17219b810f7d00bc6668819bdb00f9353ce73","abstract_canon_sha256":"fea7beef0f02f6005040a8b64ccdf8daec3a9f1f8bc5c8471da84d2e6e4840cc"},"schema_version":"1.0"},"canonical_sha256":"8c82d83198979eb5e9f781d6024adfe3dd6ca652f106d4aa1e2ba774e37e2a38","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:15.176181Z","signature_b64":"0Y+pGPoWlzH/5twI3aAKvJBePqUO6SnCLutkzedpwY4Xl/kQBt3GFQVF6zE0rEMFJOoUbltA51RVgRnF21h5Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c82d83198979eb5e9f781d6024adfe3dd6ca652f106d4aa1e2ba774e37e2a38","last_reissued_at":"2026-05-18T02:52:15.175664Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:15.175664Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.1902","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":"2026-05-18T02:52:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f7gjnwmZJ22A2Sk9wAMhQievOBWZdd83PtmvWg9LeoBQdFbHdp57plt8m2YnDKxheUmQiY9+MDspw0n6wZuVBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:48:48.190291Z"},"content_sha256":"2164f9e563c288bc1ecf192583c56f949be5f48b28c99b42126e02e7bad28f30","schema_version":"1.0","event_id":"sha256:2164f9e563c288bc1ecf192583c56f949be5f48b28c99b42126e02e7bad28f30"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:RSBNQMMYS6PLL2PXQHLAESW74P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Proofs of two Theorems concerning Sparse Spacetime Constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"cs.GR","authors_text":"Christian Schulz, Christoph von Tycowicz, Hans-Peter Seidel, Klaus Hildebrandt","submitted_at":"2014-05-08T12:15:59Z","abstract_excerpt":"In the SIGGRAPH 2014 paper [SvTSH14] an approach for animating deformable objects using sparse spacetime constraints is introduced. This report contains the proofs of two theorems presented in the paper."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.1902","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":"2026-05-18T02:52:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xeygEe9qZixCEAfVjME3Vl2tJPVUtvXhhMhz1QLd4vBNt1PFfGwT5O/ZmgQHrwVURkAqHfUI8sptHYpey6AUBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:48:48.190652Z"},"content_sha256":"236f667a760422f1ccf8cdb98e5a623cfc9c105fce85726da79c0bb284132a02","schema_version":"1.0","event_id":"sha256:236f667a760422f1ccf8cdb98e5a623cfc9c105fce85726da79c0bb284132a02"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RSBNQMMYS6PLL2PXQHLAESW74P/bundle.json","state_url":"https://pith.science/pith/RSBNQMMYS6PLL2PXQHLAESW74P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RSBNQMMYS6PLL2PXQHLAESW74P/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":"2026-05-31T01:48:48Z","links":{"resolver":"https://pith.science/pith/RSBNQMMYS6PLL2PXQHLAESW74P","bundle":"https://pith.science/pith/RSBNQMMYS6PLL2PXQHLAESW74P/bundle.json","state":"https://pith.science/pith/RSBNQMMYS6PLL2PXQHLAESW74P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RSBNQMMYS6PLL2PXQHLAESW74P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RSBNQMMYS6PLL2PXQHLAESW74P","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":"fea7beef0f02f6005040a8b64ccdf8daec3a9f1f8bc5c8471da84d2e6e4840cc","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2014-05-08T12:15:59Z","title_canon_sha256":"3245c869e9296e30bde3729fbfe17219b810f7d00bc6668819bdb00f9353ce73"},"schema_version":"1.0","source":{"id":"1405.1902","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.1902","created_at":"2026-05-18T02:52:15Z"},{"alias_kind":"arxiv_version","alias_value":"1405.1902v1","created_at":"2026-05-18T02:52:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.1902","created_at":"2026-05-18T02:52:15Z"},{"alias_kind":"pith_short_12","alias_value":"RSBNQMMYS6PL","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RSBNQMMYS6PLL2PX","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RSBNQMMY","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:236f667a760422f1ccf8cdb98e5a623cfc9c105fce85726da79c0bb284132a02","target":"graph","created_at":"2026-05-18T02:52:15Z","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":"In the SIGGRAPH 2014 paper [SvTSH14] an approach for animating deformable objects using sparse spacetime constraints is introduced. This report contains the proofs of two theorems presented in the paper.","authors_text":"Christian Schulz, Christoph von Tycowicz, Hans-Peter Seidel, Klaus Hildebrandt","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2014-05-08T12:15:59Z","title":"Proofs of two Theorems concerning Sparse Spacetime Constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.1902","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":"sha256:2164f9e563c288bc1ecf192583c56f949be5f48b28c99b42126e02e7bad28f30","target":"record","created_at":"2026-05-18T02:52:15Z","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":"fea7beef0f02f6005040a8b64ccdf8daec3a9f1f8bc5c8471da84d2e6e4840cc","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2014-05-08T12:15:59Z","title_canon_sha256":"3245c869e9296e30bde3729fbfe17219b810f7d00bc6668819bdb00f9353ce73"},"schema_version":"1.0","source":{"id":"1405.1902","kind":"arxiv","version":1}},"canonical_sha256":"8c82d83198979eb5e9f781d6024adfe3dd6ca652f106d4aa1e2ba774e37e2a38","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c82d83198979eb5e9f781d6024adfe3dd6ca652f106d4aa1e2ba774e37e2a38","first_computed_at":"2026-05-18T02:52:15.175664Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:15.175664Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0Y+pGPoWlzH/5twI3aAKvJBePqUO6SnCLutkzedpwY4Xl/kQBt3GFQVF6zE0rEMFJOoUbltA51RVgRnF21h5Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:15.176181Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.1902","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2164f9e563c288bc1ecf192583c56f949be5f48b28c99b42126e02e7bad28f30","sha256:236f667a760422f1ccf8cdb98e5a623cfc9c105fce85726da79c0bb284132a02"],"state_sha256":"bf2204a969ab698946e6bbc3f3e88d2f2803be23df1dd439640d31ab245fc344"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HmB0i+lhTNhdRZUzDvOUPRBJlSqQTIiKO0+Yqs7F5bgUdiDxp6789Pqu2WAHJQHL0GhHuFBbrPVqz2iyx0rBAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T01:48:48.193036Z","bundle_sha256":"061ac71ab0db54a1738273f9f74489f5510e7b8e7823c6d5adcb31a943763e90"}}