{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:EKX2XBLFWALNP73HEXCAMXGSMY","short_pith_number":"pith:EKX2XBLF","canonical_record":{"source":{"id":"1312.6673","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-23T20:52:13Z","cross_cats_sorted":[],"title_canon_sha256":"d683a56477c3e3da27e1a34ba61540fb71e12b2e0a4e6f57485920cd490a3da9","abstract_canon_sha256":"e5f9033734898b292f7b4053183ca6e2f0cc626d47c4c51fb38543d794f6077e"},"schema_version":"1.0"},"canonical_sha256":"22afab8565b016d7ff6725c4065cd266141ffb774114943d6ba900d876def786","source":{"kind":"arxiv","id":"1312.6673","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.6673","created_at":"2026-05-18T01:02:50Z"},{"alias_kind":"arxiv_version","alias_value":"1312.6673v3","created_at":"2026-05-18T01:02:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6673","created_at":"2026-05-18T01:02:50Z"},{"alias_kind":"pith_short_12","alias_value":"EKX2XBLFWALN","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EKX2XBLFWALNP73H","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EKX2XBLF","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:EKX2XBLFWALNP73HEXCAMXGSMY","target":"record","payload":{"canonical_record":{"source":{"id":"1312.6673","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-23T20:52:13Z","cross_cats_sorted":[],"title_canon_sha256":"d683a56477c3e3da27e1a34ba61540fb71e12b2e0a4e6f57485920cd490a3da9","abstract_canon_sha256":"e5f9033734898b292f7b4053183ca6e2f0cc626d47c4c51fb38543d794f6077e"},"schema_version":"1.0"},"canonical_sha256":"22afab8565b016d7ff6725c4065cd266141ffb774114943d6ba900d876def786","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:50.063038Z","signature_b64":"CYxZ/fLQvs88Q7zPA9/iVsWFheSaoEwPy4rK/KmvLIXGOFtdLxHG3M3LZUbM6jwnGSMThKuo4FXNchAuqgdKAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22afab8565b016d7ff6725c4065cd266141ffb774114943d6ba900d876def786","last_reissued_at":"2026-05-18T01:02:50.062649Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:50.062649Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.6673","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:02:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ps4bCCi/ifK9bTCY4QkomleBWmFYINLKXO58moxoUpWILk2l8xLplQ3aOW7Hgao0ljpOpi0VbqK9thqjPpMwCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T08:33:07.382564Z"},"content_sha256":"cb1977d16a1651821b57c266c48a980766376d384332ff065c0876443a2ae569","schema_version":"1.0","event_id":"sha256:cb1977d16a1651821b57c266c48a980766376d384332ff065c0876443a2ae569"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:EKX2XBLFWALNP73HEXCAMXGSMY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Higher-Rank Fields and Currents","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"M.A. Vasiliev, O.A. Gelfond","submitted_at":"2013-12-23T20:52:13Z","abstract_excerpt":"$Sp(2M)$ invariant field equations in the space ${\\cal M}_M$ with symmetric matrix coordinates are classified. Analogous results are obtained for Minkowski-like subspaces of ${\\cal M}_M$ which include usual $4d$ Minkowski space as a particular case. The constructed equations are associated with the tensor products of the Fock (singleton) representation of $Sp(2M)$ of any rank ${\\mathbf{r }}$. The infinite set of higher-spin conserved currents multilinear in rank-one fields in ${\\cal M}_M$ is found. The associated conserved charges are supported by $({\\mathbf{r }} M-\\frac{{\\mathbf{r }} ({\\mathb"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6673","kind":"arxiv","version":3},"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":"2026-05-18T01:02:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NhCTRATjD/zZM/g1i4PwabNBWYldlI12LLmW6ipTia3MhY2QKpn/fSajlrHAM21H1WP2Ws0ibOeCJLWYU8AsDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T08:33:07.383188Z"},"content_sha256":"415fe5f1365407f3bfe9b53dfbaa37c2a23f0e3b1bac284d42c6d393681c778a","schema_version":"1.0","event_id":"sha256:415fe5f1365407f3bfe9b53dfbaa37c2a23f0e3b1bac284d42c6d393681c778a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EKX2XBLFWALNP73HEXCAMXGSMY/bundle.json","state_url":"https://pith.science/pith/EKX2XBLFWALNP73HEXCAMXGSMY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EKX2XBLFWALNP73HEXCAMXGSMY/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":"2026-05-28T08:33:07Z","links":{"resolver":"https://pith.science/pith/EKX2XBLFWALNP73HEXCAMXGSMY","bundle":"https://pith.science/pith/EKX2XBLFWALNP73HEXCAMXGSMY/bundle.json","state":"https://pith.science/pith/EKX2XBLFWALNP73HEXCAMXGSMY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EKX2XBLFWALNP73HEXCAMXGSMY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:EKX2XBLFWALNP73HEXCAMXGSMY","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":"e5f9033734898b292f7b4053183ca6e2f0cc626d47c4c51fb38543d794f6077e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-23T20:52:13Z","title_canon_sha256":"d683a56477c3e3da27e1a34ba61540fb71e12b2e0a4e6f57485920cd490a3da9"},"schema_version":"1.0","source":{"id":"1312.6673","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.6673","created_at":"2026-05-18T01:02:50Z"},{"alias_kind":"arxiv_version","alias_value":"1312.6673v3","created_at":"2026-05-18T01:02:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6673","created_at":"2026-05-18T01:02:50Z"},{"alias_kind":"pith_short_12","alias_value":"EKX2XBLFWALN","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EKX2XBLFWALNP73H","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EKX2XBLF","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:415fe5f1365407f3bfe9b53dfbaa37c2a23f0e3b1bac284d42c6d393681c778a","target":"graph","created_at":"2026-05-18T01:02:50Z","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":"$Sp(2M)$ invariant field equations in the space ${\\cal M}_M$ with symmetric matrix coordinates are classified. Analogous results are obtained for Minkowski-like subspaces of ${\\cal M}_M$ which include usual $4d$ Minkowski space as a particular case. The constructed equations are associated with the tensor products of the Fock (singleton) representation of $Sp(2M)$ of any rank ${\\mathbf{r }}$. The infinite set of higher-spin conserved currents multilinear in rank-one fields in ${\\cal M}_M$ is found. The associated conserved charges are supported by $({\\mathbf{r }} M-\\frac{{\\mathbf{r }} ({\\mathb","authors_text":"M.A. Vasiliev, O.A. Gelfond","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-23T20:52:13Z","title":"Higher-Rank Fields and Currents"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6673","kind":"arxiv","version":3},"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:cb1977d16a1651821b57c266c48a980766376d384332ff065c0876443a2ae569","target":"record","created_at":"2026-05-18T01:02:50Z","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":"e5f9033734898b292f7b4053183ca6e2f0cc626d47c4c51fb38543d794f6077e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-23T20:52:13Z","title_canon_sha256":"d683a56477c3e3da27e1a34ba61540fb71e12b2e0a4e6f57485920cd490a3da9"},"schema_version":"1.0","source":{"id":"1312.6673","kind":"arxiv","version":3}},"canonical_sha256":"22afab8565b016d7ff6725c4065cd266141ffb774114943d6ba900d876def786","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22afab8565b016d7ff6725c4065cd266141ffb774114943d6ba900d876def786","first_computed_at":"2026-05-18T01:02:50.062649Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:50.062649Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CYxZ/fLQvs88Q7zPA9/iVsWFheSaoEwPy4rK/KmvLIXGOFtdLxHG3M3LZUbM6jwnGSMThKuo4FXNchAuqgdKAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:50.063038Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.6673","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb1977d16a1651821b57c266c48a980766376d384332ff065c0876443a2ae569","sha256:415fe5f1365407f3bfe9b53dfbaa37c2a23f0e3b1bac284d42c6d393681c778a"],"state_sha256":"19ca9de51872194e1313fb742d28ada5587b9ee606e7edc87456623da1c1acbf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hBBhvaD6sXe6s70GasVs0u7H3Lc4zbPWMT4vLnjxEZIeuIstSLeTcylLKrGy/gJB/ZWM/Mfibg78N7zHKFGOAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T08:33:07.386221Z","bundle_sha256":"8438664c484ef24889cdcf3093aeaa6923a5ac295a0e510ec6b7b4cd9927960e"}}