{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:4BZ3XQAHPRHXSCV5QO4FZY5P2K","short_pith_number":"pith:4BZ3XQAH","canonical_record":{"source":{"id":"1401.7977","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-30T20:43:45Z","cross_cats_sorted":[],"title_canon_sha256":"8a631937accc2f441060f58db80c03ff7eeaacdab9f32f8089ede740ceab0814","abstract_canon_sha256":"a98ccda050230cc59c0b1ff6430e72d94bfed250fbf07aade7e3fe67d449735d"},"schema_version":"1.0"},"canonical_sha256":"e073bbc0077c4f790abd83b85ce3afd2af5f250d18e6b70f2f8db75ac1ff5072","source":{"kind":"arxiv","id":"1401.7977","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.7977","created_at":"2026-05-18T01:34:35Z"},{"alias_kind":"arxiv_version","alias_value":"1401.7977v2","created_at":"2026-05-18T01:34:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.7977","created_at":"2026-05-18T01:34:35Z"},{"alias_kind":"pith_short_12","alias_value":"4BZ3XQAHPRHX","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4BZ3XQAHPRHXSCV5","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4BZ3XQAH","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:4BZ3XQAHPRHXSCV5QO4FZY5P2K","target":"record","payload":{"canonical_record":{"source":{"id":"1401.7977","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-30T20:43:45Z","cross_cats_sorted":[],"title_canon_sha256":"8a631937accc2f441060f58db80c03ff7eeaacdab9f32f8089ede740ceab0814","abstract_canon_sha256":"a98ccda050230cc59c0b1ff6430e72d94bfed250fbf07aade7e3fe67d449735d"},"schema_version":"1.0"},"canonical_sha256":"e073bbc0077c4f790abd83b85ce3afd2af5f250d18e6b70f2f8db75ac1ff5072","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:35.795601Z","signature_b64":"Fb/flz7GcmhP8/18yty7QIlreD5X10ZKoEfwfmB3mPraF5ttqWfDJD9hD8eNaPnqfK6+BD2eJa2pDUVvbBm6BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e073bbc0077c4f790abd83b85ce3afd2af5f250d18e6b70f2f8db75ac1ff5072","last_reissued_at":"2026-05-18T01:34:35.795058Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:35.795058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.7977","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":"2026-05-18T01:34:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aKUAz1nKxObgB1kj1Q0SJ7alN22J0KcwU7OH1gkq2Cwc6S3uBvO9COusbwCR2jKcsAdnbKK5akmF2aTIlHrhBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T05:09:35.585738Z"},"content_sha256":"2ab12f2e3af8d62642915031d1dde0fb440e01e9e2804564f11ddf691ffb37cb","schema_version":"1.0","event_id":"sha256:2ab12f2e3af8d62642915031d1dde0fb440e01e9e2804564f11ddf691ffb37cb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:4BZ3XQAHPRHXSCV5QO4FZY5P2K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Notes on higher-spin algebras: minimal representations and structure constants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Euihun Joung, Karapet Mkrtchyan","submitted_at":"2014-01-30T20:43:45Z","abstract_excerpt":"The higher-spin (HS) algebras so far known can be interpreted as the symmetries of the minimal representation of the isometry algebra. After discussing this connection briefly, we generalize this concept to any classical Lie algebras and consider the corresponding HS algebras. For sp(2N) and so(N), the minimal representations are unique so we get unique HS algebras. For sl(N), the minimal representation has one-parameter family, so does the corresponding HS algebra. The so(N) HS algebra is what underlies the Vasiliev theory while the sl(2) one coincides with the 3D HS algebra hs[lambda]. Final"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.7977","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":"2026-05-18T01:34:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9TTRNJO9SjOQVhs4pkh+y2b9lu9IX2HhnMFnDGc7Tbuw11tJOAhmNaxRJZtxGZ/rrr9s+eiqep5R1qjbyzzfCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T05:09:35.586232Z"},"content_sha256":"2b04cc78f6fbfe1eae905b5aa6000bde78cb926112ce51e15dba224ea6a653f7","schema_version":"1.0","event_id":"sha256:2b04cc78f6fbfe1eae905b5aa6000bde78cb926112ce51e15dba224ea6a653f7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4BZ3XQAHPRHXSCV5QO4FZY5P2K/bundle.json","state_url":"https://pith.science/pith/4BZ3XQAHPRHXSCV5QO4FZY5P2K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4BZ3XQAHPRHXSCV5QO4FZY5P2K/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":"2026-08-16T05:09:35Z","links":{"resolver":"https://pith.science/pith/4BZ3XQAHPRHXSCV5QO4FZY5P2K","bundle":"https://pith.science/pith/4BZ3XQAHPRHXSCV5QO4FZY5P2K/bundle.json","state":"https://pith.science/pith/4BZ3XQAHPRHXSCV5QO4FZY5P2K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4BZ3XQAHPRHXSCV5QO4FZY5P2K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4BZ3XQAHPRHXSCV5QO4FZY5P2K","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":"a98ccda050230cc59c0b1ff6430e72d94bfed250fbf07aade7e3fe67d449735d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-30T20:43:45Z","title_canon_sha256":"8a631937accc2f441060f58db80c03ff7eeaacdab9f32f8089ede740ceab0814"},"schema_version":"1.0","source":{"id":"1401.7977","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.7977","created_at":"2026-05-18T01:34:35Z"},{"alias_kind":"arxiv_version","alias_value":"1401.7977v2","created_at":"2026-05-18T01:34:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.7977","created_at":"2026-05-18T01:34:35Z"},{"alias_kind":"pith_short_12","alias_value":"4BZ3XQAHPRHX","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4BZ3XQAHPRHXSCV5","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4BZ3XQAH","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:2b04cc78f6fbfe1eae905b5aa6000bde78cb926112ce51e15dba224ea6a653f7","target":"graph","created_at":"2026-05-18T01:34:35Z","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 higher-spin (HS) algebras so far known can be interpreted as the symmetries of the minimal representation of the isometry algebra. After discussing this connection briefly, we generalize this concept to any classical Lie algebras and consider the corresponding HS algebras. For sp(2N) and so(N), the minimal representations are unique so we get unique HS algebras. For sl(N), the minimal representation has one-parameter family, so does the corresponding HS algebra. The so(N) HS algebra is what underlies the Vasiliev theory while the sl(2) one coincides with the 3D HS algebra hs[lambda]. Final","authors_text":"Euihun Joung, Karapet Mkrtchyan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-30T20:43:45Z","title":"Notes on higher-spin algebras: minimal representations and structure constants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.7977","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":"sha256:2ab12f2e3af8d62642915031d1dde0fb440e01e9e2804564f11ddf691ffb37cb","target":"record","created_at":"2026-05-18T01:34:35Z","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":"a98ccda050230cc59c0b1ff6430e72d94bfed250fbf07aade7e3fe67d449735d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-01-30T20:43:45Z","title_canon_sha256":"8a631937accc2f441060f58db80c03ff7eeaacdab9f32f8089ede740ceab0814"},"schema_version":"1.0","source":{"id":"1401.7977","kind":"arxiv","version":2}},"canonical_sha256":"e073bbc0077c4f790abd83b85ce3afd2af5f250d18e6b70f2f8db75ac1ff5072","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e073bbc0077c4f790abd83b85ce3afd2af5f250d18e6b70f2f8db75ac1ff5072","first_computed_at":"2026-05-18T01:34:35.795058Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:35.795058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Fb/flz7GcmhP8/18yty7QIlreD5X10ZKoEfwfmB3mPraF5ttqWfDJD9hD8eNaPnqfK6+BD2eJa2pDUVvbBm6BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:35.795601Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.7977","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ab12f2e3af8d62642915031d1dde0fb440e01e9e2804564f11ddf691ffb37cb","sha256:2b04cc78f6fbfe1eae905b5aa6000bde78cb926112ce51e15dba224ea6a653f7"],"state_sha256":"fec014bac51aa6d481b8e8d84a8928d3e2b8dc24158364eef4b4b88c1e263e48"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w2a9tac6d41jbtTGCAWoYrJARQ6HpeQYoDB67KlEMlWTv7PBH028hMC1vrb3c0b770N1DlHSw+s4cwzCXoDUDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T05:09:35.590093Z","bundle_sha256":"5918db2113e873f304992b51c596a925814c9dc60b3437570739704bea880722"}}