{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:YMI3632OMO4BCL6FKCJ3WTK2VR","short_pith_number":"pith:YMI3632O","canonical_record":{"source":{"id":"0912.0789","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-12-04T07:58:45Z","cross_cats_sorted":[],"title_canon_sha256":"746900a8ab3023323533a27841420cc0847cc72e91da82c9266a4d52409afec1","abstract_canon_sha256":"c2622361af4ec05d9bc1e1393386f53b77a92fbf7914a7086ca5d3d2adc5abfb"},"schema_version":"1.0"},"canonical_sha256":"c311bf6f4e63b8112fc55093bb4d5aac498203b910d3cffacd02a1d30a1e12c3","source":{"kind":"arxiv","id":"0912.0789","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.0789","created_at":"2026-05-18T01:10:33Z"},{"alias_kind":"arxiv_version","alias_value":"0912.0789v5","created_at":"2026-05-18T01:10:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.0789","created_at":"2026-05-18T01:10:33Z"},{"alias_kind":"pith_short_12","alias_value":"YMI3632OMO4B","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"YMI3632OMO4BCL6F","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"YMI3632O","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:YMI3632OMO4BCL6FKCJ3WTK2VR","target":"record","payload":{"canonical_record":{"source":{"id":"0912.0789","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-12-04T07:58:45Z","cross_cats_sorted":[],"title_canon_sha256":"746900a8ab3023323533a27841420cc0847cc72e91da82c9266a4d52409afec1","abstract_canon_sha256":"c2622361af4ec05d9bc1e1393386f53b77a92fbf7914a7086ca5d3d2adc5abfb"},"schema_version":"1.0"},"canonical_sha256":"c311bf6f4e63b8112fc55093bb4d5aac498203b910d3cffacd02a1d30a1e12c3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:33.931994Z","signature_b64":"dN7yFThdZF+B7doYMJoa6NaHCJgAMExs3/nTYZU1H3yTtupJcwXP+7WYrA7I2qzsE+mNB2QMFqiYh2aC4q5NBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c311bf6f4e63b8112fc55093bb4d5aac498203b910d3cffacd02a1d30a1e12c3","last_reissued_at":"2026-05-18T01:10:33.931234Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:33.931234Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0912.0789","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:10:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uxRL01Qr1POMJfvxfGbJnmy3yNc0pZ3puW2aK0z7q7m52BonPLvEropMFY4HKS1jYI8iB/kSTbA4sm6arK9FCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T10:53:32.362076Z"},"content_sha256":"98dbd1c99804577cb55f0edabb244cee934a2d9d56c881f80c7c47cc18a79bc0","schema_version":"1.0","event_id":"sha256:98dbd1c99804577cb55f0edabb244cee934a2d9d56c881f80c7c47cc18a79bc0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:YMI3632OMO4BCL6FKCJ3WTK2VR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Higher-spin symmetries of the free Schrodinger equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Mauricio Valenzuela","submitted_at":"2009-12-04T07:58:45Z","abstract_excerpt":"It is shown that the Schrodinger symmetry algebra of a free particle in d spatial dimensions can be embedded into a representation of the higher-spin algebra. The latter spans an infinite dimensional algebra of higher-order symmetry generators of the free Schrodinger equation. An explicit representation of the maximal finite dimensional subalgebra of the higher spin algebra is given in terms of non-relativistic generators. We show also how to convert Vasiliev's equations into an explicit non-relativistic covariant form, such that they might apply to non-relativistic systems. Our procedure reve"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.0789","kind":"arxiv","version":5},"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":"2026-05-18T01:10:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qKZD0KGRihqMzxzGm3sTMDdIx3TV9xPPK9m8xQK9T4mhhHVfIDQhBWEbpaYUoEiuBDPFIHm9zC0QL797p+xZCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T10:53:32.362433Z"},"content_sha256":"35580b3c729f880a587a93ffff40aa6ca2a19350ff964682c61c352a60f57f15","schema_version":"1.0","event_id":"sha256:35580b3c729f880a587a93ffff40aa6ca2a19350ff964682c61c352a60f57f15"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YMI3632OMO4BCL6FKCJ3WTK2VR/bundle.json","state_url":"https://pith.science/pith/YMI3632OMO4BCL6FKCJ3WTK2VR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YMI3632OMO4BCL6FKCJ3WTK2VR/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":"2026-06-25T10:53:32Z","links":{"resolver":"https://pith.science/pith/YMI3632OMO4BCL6FKCJ3WTK2VR","bundle":"https://pith.science/pith/YMI3632OMO4BCL6FKCJ3WTK2VR/bundle.json","state":"https://pith.science/pith/YMI3632OMO4BCL6FKCJ3WTK2VR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YMI3632OMO4BCL6FKCJ3WTK2VR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:YMI3632OMO4BCL6FKCJ3WTK2VR","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":"c2622361af4ec05d9bc1e1393386f53b77a92fbf7914a7086ca5d3d2adc5abfb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-12-04T07:58:45Z","title_canon_sha256":"746900a8ab3023323533a27841420cc0847cc72e91da82c9266a4d52409afec1"},"schema_version":"1.0","source":{"id":"0912.0789","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.0789","created_at":"2026-05-18T01:10:33Z"},{"alias_kind":"arxiv_version","alias_value":"0912.0789v5","created_at":"2026-05-18T01:10:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.0789","created_at":"2026-05-18T01:10:33Z"},{"alias_kind":"pith_short_12","alias_value":"YMI3632OMO4B","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"YMI3632OMO4BCL6F","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"YMI3632O","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:35580b3c729f880a587a93ffff40aa6ca2a19350ff964682c61c352a60f57f15","target":"graph","created_at":"2026-05-18T01:10:33Z","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":"It is shown that the Schrodinger symmetry algebra of a free particle in d spatial dimensions can be embedded into a representation of the higher-spin algebra. The latter spans an infinite dimensional algebra of higher-order symmetry generators of the free Schrodinger equation. An explicit representation of the maximal finite dimensional subalgebra of the higher spin algebra is given in terms of non-relativistic generators. We show also how to convert Vasiliev's equations into an explicit non-relativistic covariant form, such that they might apply to non-relativistic systems. Our procedure reve","authors_text":"Mauricio Valenzuela","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-12-04T07:58:45Z","title":"Higher-spin symmetries of the free Schrodinger equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.0789","kind":"arxiv","version":5},"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":"sha256:98dbd1c99804577cb55f0edabb244cee934a2d9d56c881f80c7c47cc18a79bc0","target":"record","created_at":"2026-05-18T01:10:33Z","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":"c2622361af4ec05d9bc1e1393386f53b77a92fbf7914a7086ca5d3d2adc5abfb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-12-04T07:58:45Z","title_canon_sha256":"746900a8ab3023323533a27841420cc0847cc72e91da82c9266a4d52409afec1"},"schema_version":"1.0","source":{"id":"0912.0789","kind":"arxiv","version":5}},"canonical_sha256":"c311bf6f4e63b8112fc55093bb4d5aac498203b910d3cffacd02a1d30a1e12c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c311bf6f4e63b8112fc55093bb4d5aac498203b910d3cffacd02a1d30a1e12c3","first_computed_at":"2026-05-18T01:10:33.931234Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:33.931234Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dN7yFThdZF+B7doYMJoa6NaHCJgAMExs3/nTYZU1H3yTtupJcwXP+7WYrA7I2qzsE+mNB2QMFqiYh2aC4q5NBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:33.931994Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.0789","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98dbd1c99804577cb55f0edabb244cee934a2d9d56c881f80c7c47cc18a79bc0","sha256:35580b3c729f880a587a93ffff40aa6ca2a19350ff964682c61c352a60f57f15"],"state_sha256":"48f799fb1522de6e861119474fa8d4c43d6495a05fd1bd2791694f57891f5e83"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V/v4nY1ntyYuw+rHBF+cIw0fXOBU0GQV0NoSwhNVQllXwieF2hiP1EOhEaPplZyU1Qen0pNOlK86QeXi+WIUAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T10:53:32.364369Z","bundle_sha256":"581f6577b39472ed03c6d22e0c8a155f23f09ca53b4eb536918e09e41c7631c3"}}