{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:3BINWRV77AOI7YKDOPGS5LMAO3","short_pith_number":"pith:3BINWRV7","canonical_record":{"source":{"id":"1104.0490","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-04T08:20:07Z","cross_cats_sorted":[],"title_canon_sha256":"967d17fc34afa2e2cd41a1b0550e6173b4586691bb6893f7e94320af3a7eb6b7","abstract_canon_sha256":"26c0ea0c6f7da6109a32dad999df92fabacebb516f66e3050723904c207f2b86"},"schema_version":"1.0"},"canonical_sha256":"d850db46bff81c8fe14373cd2ead8076fc24d2e3a3dd9164ad099f6696955166","source":{"kind":"arxiv","id":"1104.0490","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.0490","created_at":"2026-05-18T04:11:41Z"},{"alias_kind":"arxiv_version","alias_value":"1104.0490v2","created_at":"2026-05-18T04:11:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.0490","created_at":"2026-05-18T04:11:41Z"},{"alias_kind":"pith_short_12","alias_value":"3BINWRV77AOI","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3BINWRV77AOI7YKD","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3BINWRV7","created_at":"2026-05-18T12:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:3BINWRV77AOI7YKDOPGS5LMAO3","target":"record","payload":{"canonical_record":{"source":{"id":"1104.0490","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-04T08:20:07Z","cross_cats_sorted":[],"title_canon_sha256":"967d17fc34afa2e2cd41a1b0550e6173b4586691bb6893f7e94320af3a7eb6b7","abstract_canon_sha256":"26c0ea0c6f7da6109a32dad999df92fabacebb516f66e3050723904c207f2b86"},"schema_version":"1.0"},"canonical_sha256":"d850db46bff81c8fe14373cd2ead8076fc24d2e3a3dd9164ad099f6696955166","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:11:41.695944Z","signature_b64":"q2d5vqqUi/bkGBVxqQ9a/PwCQCLz1XHPWAgFnZ08Gh001rYhSWfXilZvHGXPSdf0KxCqZrHiRL28PDNL0Q9LDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d850db46bff81c8fe14373cd2ead8076fc24d2e3a3dd9164ad099f6696955166","last_reissued_at":"2026-05-18T04:11:41.695351Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:11:41.695351Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.0490","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":"2026-05-18T04:11:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"olVf7gCTxKKfJP9MjbeNRuySPbC7TbvQljgqyTS8GhM/3a0kmmufB6adw5yVnoawFTIN85RBUI22B3c1a9bVDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T17:05:47.419159Z"},"content_sha256":"082ebd0c5e8a1a2b9995fc4795450188d2b42b4db783d86904826d5355146c5e","schema_version":"1.0","event_id":"sha256:082ebd0c5e8a1a2b9995fc4795450188d2b42b4db783d86904826d5355146c5e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:3BINWRV77AOI7YKDOPGS5LMAO3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classical and quantum mechanics of the nonrelativistic Snyder model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"S. Mignemi","submitted_at":"2011-04-04T08:20:07Z","abstract_excerpt":"The Snyder model is an example of noncommutative spacetime admitting a fundamental length scale $\\beta$ and invariant under Lorentz transformations, that can be interpreted as a realization of the doubly special relativity axioms. Here, we consider its nonrelativistic counterpart, i.e. the Snyder model restricted to three-dimensional Euclidean space. We discuss the classical and the quantum mechanics of a free particle in this framework, and show that they strongly depend on the sign of a coupling constant $\\lambda$, appearing in the fundamental commutators and proportional to $\\beta^2$. For e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.0490","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":"2026-05-18T04:11:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E0q+XtnBk01LVS/t5UL2ALDvvvkutlbAqLNW6jqRDHTARlbsQ3t/OQ02M94N9Q0tSZyA6n5Offloss0btBnUCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T17:05:47.419759Z"},"content_sha256":"376d43de2ea8f57d95e1d64adc45e97d013e685379907e642c6c0ed001f55dac","schema_version":"1.0","event_id":"sha256:376d43de2ea8f57d95e1d64adc45e97d013e685379907e642c6c0ed001f55dac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3BINWRV77AOI7YKDOPGS5LMAO3/bundle.json","state_url":"https://pith.science/pith/3BINWRV77AOI7YKDOPGS5LMAO3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3BINWRV77AOI7YKDOPGS5LMAO3/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":"2026-08-04T17:05:47Z","links":{"resolver":"https://pith.science/pith/3BINWRV77AOI7YKDOPGS5LMAO3","bundle":"https://pith.science/pith/3BINWRV77AOI7YKDOPGS5LMAO3/bundle.json","state":"https://pith.science/pith/3BINWRV77AOI7YKDOPGS5LMAO3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3BINWRV77AOI7YKDOPGS5LMAO3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:3BINWRV77AOI7YKDOPGS5LMAO3","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":"26c0ea0c6f7da6109a32dad999df92fabacebb516f66e3050723904c207f2b86","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-04T08:20:07Z","title_canon_sha256":"967d17fc34afa2e2cd41a1b0550e6173b4586691bb6893f7e94320af3a7eb6b7"},"schema_version":"1.0","source":{"id":"1104.0490","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.0490","created_at":"2026-05-18T04:11:41Z"},{"alias_kind":"arxiv_version","alias_value":"1104.0490v2","created_at":"2026-05-18T04:11:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.0490","created_at":"2026-05-18T04:11:41Z"},{"alias_kind":"pith_short_12","alias_value":"3BINWRV77AOI","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3BINWRV77AOI7YKD","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3BINWRV7","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:376d43de2ea8f57d95e1d64adc45e97d013e685379907e642c6c0ed001f55dac","target":"graph","created_at":"2026-05-18T04:11:41Z","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":"The Snyder model is an example of noncommutative spacetime admitting a fundamental length scale $\\beta$ and invariant under Lorentz transformations, that can be interpreted as a realization of the doubly special relativity axioms. Here, we consider its nonrelativistic counterpart, i.e. the Snyder model restricted to three-dimensional Euclidean space. We discuss the classical and the quantum mechanics of a free particle in this framework, and show that they strongly depend on the sign of a coupling constant $\\lambda$, appearing in the fundamental commutators and proportional to $\\beta^2$. For e","authors_text":"S. Mignemi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-04T08:20:07Z","title":"Classical and quantum mechanics of the nonrelativistic Snyder model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.0490","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":"sha256:082ebd0c5e8a1a2b9995fc4795450188d2b42b4db783d86904826d5355146c5e","target":"record","created_at":"2026-05-18T04:11:41Z","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":"26c0ea0c6f7da6109a32dad999df92fabacebb516f66e3050723904c207f2b86","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-04T08:20:07Z","title_canon_sha256":"967d17fc34afa2e2cd41a1b0550e6173b4586691bb6893f7e94320af3a7eb6b7"},"schema_version":"1.0","source":{"id":"1104.0490","kind":"arxiv","version":2}},"canonical_sha256":"d850db46bff81c8fe14373cd2ead8076fc24d2e3a3dd9164ad099f6696955166","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d850db46bff81c8fe14373cd2ead8076fc24d2e3a3dd9164ad099f6696955166","first_computed_at":"2026-05-18T04:11:41.695351Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:11:41.695351Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q2d5vqqUi/bkGBVxqQ9a/PwCQCLz1XHPWAgFnZ08Gh001rYhSWfXilZvHGXPSdf0KxCqZrHiRL28PDNL0Q9LDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:11:41.695944Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.0490","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:082ebd0c5e8a1a2b9995fc4795450188d2b42b4db783d86904826d5355146c5e","sha256:376d43de2ea8f57d95e1d64adc45e97d013e685379907e642c6c0ed001f55dac"],"state_sha256":"e2dff0e8a9069766fed7d22102971a4d6d5e277c5b7acfa58f105cf75b40a4b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M++Gpeis49U9Fwz5YaPUl/m9q/g1z0kAz1lC2Y777uwAKeNNinZXqMKow1I1cuoQrKObp2qtZGULUvwny0EjBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T17:05:47.425123Z","bundle_sha256":"739606fb83930d24abc788000d3e463a7aa1ac3200ce592757e23bc21c0dc89e"}}