{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1992:YT5ALZ5RXCVMOC5EO7VQWCUT7M","short_pith_number":"pith:YT5ALZ5R","canonical_record":{"source":{"id":"hep-th/9204077","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1992-04-23T17:29:42Z","cross_cats_sorted":[],"title_canon_sha256":"492fa84bd85e16117a0a18137f6b8526af799312dd081485920111200f79ede7","abstract_canon_sha256":"1cdf6596d0d0a8a184bd0762ab9da16ced8823e89534394fb490fc791d8ec70b"},"schema_version":"1.0"},"canonical_sha256":"c4fa05e7b1b8aac70ba477eb0b0a93fb0c5931723db1e7374fa445d64057da5f","source":{"kind":"arxiv","id":"hep-th/9204077","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9204077","created_at":"2026-05-18T01:38:44Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9204077v1","created_at":"2026-05-18T01:38:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9204077","created_at":"2026-05-18T01:38:44Z"},{"alias_kind":"pith_short_12","alias_value":"YT5ALZ5RXCVM","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"YT5ALZ5RXCVMOC5E","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"YT5ALZ5R","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1992:YT5ALZ5RXCVMOC5EO7VQWCUT7M","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9204077","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1992-04-23T17:29:42Z","cross_cats_sorted":[],"title_canon_sha256":"492fa84bd85e16117a0a18137f6b8526af799312dd081485920111200f79ede7","abstract_canon_sha256":"1cdf6596d0d0a8a184bd0762ab9da16ced8823e89534394fb490fc791d8ec70b"},"schema_version":"1.0"},"canonical_sha256":"c4fa05e7b1b8aac70ba477eb0b0a93fb0c5931723db1e7374fa445d64057da5f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:44.852671Z","signature_b64":"YWNKa9bqY1feroa5PugZZ8eLnkbXKOd4ZPsSACElf1QDJldr6NK33Yk0EdZp5feLCroHD54bxSqKnvXvtAAHBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4fa05e7b1b8aac70ba477eb0b0a93fb0c5931723db1e7374fa445d64057da5f","last_reissued_at":"2026-05-18T01:38:44.852263Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:44.852263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9204077","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":"2026-05-18T01:38:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kirJnmtlRTQFyQUBrmqXJuUZOkHfMUb+o4YQEx15DLlJJX9O5LGl+kSUzOaA95lbHmRlKL+0My+loZEKzSLFDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T21:40:33.719657Z"},"content_sha256":"f0a3dcab97f1022f80b3a8c868e4affdb1047e94bc6cec01abd1653e4b61a9cc","schema_version":"1.0","event_id":"sha256:f0a3dcab97f1022f80b3a8c868e4affdb1047e94bc6cec01abd1653e4b61a9cc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1992:YT5ALZ5RXCVMOC5EO7VQWCUT7M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Signature Characters for A_2 and B_2","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Kent, G. Watts","submitted_at":"1992-04-23T17:29:42Z","abstract_excerpt":"The signatures of the inner product matrices on a Lie algebra's highest weight representation are encoded in the representation's signature character. We show that the signature characters of a finite-dimensional Lie algebra's highest weight representations obey simple difference equations that have a unique solution once appropriate boundary conditions are imposed. We use these results to derive the signature characters of all $A_2$ and $B_2$ highest weight representations. Our results extend, and explain, signature patterns analogous to those observed by Friedan, Qiu and Shenker in the Viras"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9204077","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":"2026-05-18T01:38:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B2H2ddMZIyyqdhSP8Bqcv3ggGW04kgzNaGsl7KlrHVfSNK+HXv5tHggJe0HD7h0SyZyB5IG1/x5C7cSuVzOFCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T21:40:33.720196Z"},"content_sha256":"d49d5a562452244cfa33e87636ef7a2908626394bfeda84d1fb5c7f3ce49890b","schema_version":"1.0","event_id":"sha256:d49d5a562452244cfa33e87636ef7a2908626394bfeda84d1fb5c7f3ce49890b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YT5ALZ5RXCVMOC5EO7VQWCUT7M/bundle.json","state_url":"https://pith.science/pith/YT5ALZ5RXCVMOC5EO7VQWCUT7M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YT5ALZ5RXCVMOC5EO7VQWCUT7M/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":"2026-06-04T21:40:33Z","links":{"resolver":"https://pith.science/pith/YT5ALZ5RXCVMOC5EO7VQWCUT7M","bundle":"https://pith.science/pith/YT5ALZ5RXCVMOC5EO7VQWCUT7M/bundle.json","state":"https://pith.science/pith/YT5ALZ5RXCVMOC5EO7VQWCUT7M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YT5ALZ5RXCVMOC5EO7VQWCUT7M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1992:YT5ALZ5RXCVMOC5EO7VQWCUT7M","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":"1cdf6596d0d0a8a184bd0762ab9da16ced8823e89534394fb490fc791d8ec70b","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1992-04-23T17:29:42Z","title_canon_sha256":"492fa84bd85e16117a0a18137f6b8526af799312dd081485920111200f79ede7"},"schema_version":"1.0","source":{"id":"hep-th/9204077","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9204077","created_at":"2026-05-18T01:38:44Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9204077v1","created_at":"2026-05-18T01:38:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9204077","created_at":"2026-05-18T01:38:44Z"},{"alias_kind":"pith_short_12","alias_value":"YT5ALZ5RXCVM","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"YT5ALZ5RXCVMOC5E","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"YT5ALZ5R","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:d49d5a562452244cfa33e87636ef7a2908626394bfeda84d1fb5c7f3ce49890b","target":"graph","created_at":"2026-05-18T01:38:44Z","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 signatures of the inner product matrices on a Lie algebra's highest weight representation are encoded in the representation's signature character. We show that the signature characters of a finite-dimensional Lie algebra's highest weight representations obey simple difference equations that have a unique solution once appropriate boundary conditions are imposed. We use these results to derive the signature characters of all $A_2$ and $B_2$ highest weight representations. Our results extend, and explain, signature patterns analogous to those observed by Friedan, Qiu and Shenker in the Viras","authors_text":"A. Kent, G. Watts","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1992-04-23T17:29:42Z","title":"Signature Characters for A_2 and B_2"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9204077","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:f0a3dcab97f1022f80b3a8c868e4affdb1047e94bc6cec01abd1653e4b61a9cc","target":"record","created_at":"2026-05-18T01:38:44Z","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":"1cdf6596d0d0a8a184bd0762ab9da16ced8823e89534394fb490fc791d8ec70b","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1992-04-23T17:29:42Z","title_canon_sha256":"492fa84bd85e16117a0a18137f6b8526af799312dd081485920111200f79ede7"},"schema_version":"1.0","source":{"id":"hep-th/9204077","kind":"arxiv","version":1}},"canonical_sha256":"c4fa05e7b1b8aac70ba477eb0b0a93fb0c5931723db1e7374fa445d64057da5f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4fa05e7b1b8aac70ba477eb0b0a93fb0c5931723db1e7374fa445d64057da5f","first_computed_at":"2026-05-18T01:38:44.852263Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:44.852263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YWNKa9bqY1feroa5PugZZ8eLnkbXKOd4ZPsSACElf1QDJldr6NK33Yk0EdZp5feLCroHD54bxSqKnvXvtAAHBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:44.852671Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9204077","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f0a3dcab97f1022f80b3a8c868e4affdb1047e94bc6cec01abd1653e4b61a9cc","sha256:d49d5a562452244cfa33e87636ef7a2908626394bfeda84d1fb5c7f3ce49890b"],"state_sha256":"15e66ebc1f984b15a168740555610b41bfc631a1508d7c4de1e4fc0b336350b5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pxm57nnN8libn6/IE1+aRMY5KOvAQVVftFYFT3nUURICOqa0wxw9Qi2/L6YVGD8S8FF9zH6ObIm6uMCauO4/DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T21:40:33.722764Z","bundle_sha256":"df48152b0d22ce1db3aca5e4bb0daafa064aad197eb50ea4af85cbb1fc3bcc73"}}