{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:ZVP2ZUWB56XHUVJZ7ROQEAWDTN","short_pith_number":"pith:ZVP2ZUWB","canonical_record":{"source":{"id":"2409.10624","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-16T18:00:39Z","cross_cats_sorted":[],"title_canon_sha256":"5b6dacbc1cd56768b8e13526a8eb5795de4d993d830640225171537808338aa3","abstract_canon_sha256":"f9a3d5068a05407a3f9b763b5976d9fbb394f9a4ff40c5664e47bd1e769fa9da"},"schema_version":"1.0"},"canonical_sha256":"cd5facd2c1efae7a5539fc5d0202c39b666789f46263a09522c9bb6cbd0575a8","source":{"kind":"arxiv","id":"2409.10624","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.10624","created_at":"2026-07-05T11:03:01Z"},{"alias_kind":"arxiv_version","alias_value":"2409.10624v3","created_at":"2026-07-05T11:03:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.10624","created_at":"2026-07-05T11:03:01Z"},{"alias_kind":"pith_short_12","alias_value":"ZVP2ZUWB56XH","created_at":"2026-07-05T11:03:01Z"},{"alias_kind":"pith_short_16","alias_value":"ZVP2ZUWB56XHUVJZ","created_at":"2026-07-05T11:03:01Z"},{"alias_kind":"pith_short_8","alias_value":"ZVP2ZUWB","created_at":"2026-07-05T11:03:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:ZVP2ZUWB56XHUVJZ7ROQEAWDTN","target":"record","payload":{"canonical_record":{"source":{"id":"2409.10624","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-16T18:00:39Z","cross_cats_sorted":[],"title_canon_sha256":"5b6dacbc1cd56768b8e13526a8eb5795de4d993d830640225171537808338aa3","abstract_canon_sha256":"f9a3d5068a05407a3f9b763b5976d9fbb394f9a4ff40c5664e47bd1e769fa9da"},"schema_version":"1.0"},"canonical_sha256":"cd5facd2c1efae7a5539fc5d0202c39b666789f46263a09522c9bb6cbd0575a8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:03:01.487909Z","signature_b64":"MYqcgdjSb6N9Onsc3sgqa0BqLevH/WdvbZ0U0tgYUTc1SGGutXZDAo3elVNGWrh+LtgPw9Gs6XNExsTLpOV3Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd5facd2c1efae7a5539fc5d0202c39b666789f46263a09522c9bb6cbd0575a8","last_reissued_at":"2026-07-05T11:03:01.487505Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:03:01.487505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.10624","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":"2026-07-05T11:03:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rscuZs93BgfA/R2ZduzfJ6JE5m67t4Mf64rdp44P86cacQvFUOtqayxUrFrApM/yXEgl0et4cmpYF2iD27GJCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T08:10:41.778622Z"},"content_sha256":"ee664bcf91278bd6c3f1011cbcc98efdc69f597b00079be33967464df476ff8c","schema_version":"1.0","event_id":"sha256:ee664bcf91278bd6c3f1011cbcc98efdc69f597b00079be33967464df476ff8c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:ZVP2ZUWB56XHUVJZ7ROQEAWDTN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Physical Representations of Corner Symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ludovic Varrin","submitted_at":"2024-09-16T18:00:39Z","abstract_excerpt":"We give the full representation theory of the gravitational extended corner symmetry group in two-dimensions. This includes projective representations, which correspond to representations of the quantum corner symmetry group. We find that they are described by one-dimensional conformal fields with an additional index in the Fock space of the harmonic oscillator. We begin with a review of Mackey's theory of induced representations and then proceed to its application to the corner symmetries. The field representations, induced from the irreducible representations of the special linear group are "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.10624","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2409.10624/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:03:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nTGKU2YyXej3twmTBYMOQraFRdYSZwEPb2Wji35XGDjlqrs94B9lSrmv2T7b4dL6s1ueVljWxcOM8XnPywiADg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T08:10:41.779495Z"},"content_sha256":"251b78cc259b04351404c57e18074dfad826c2d2fc88e280ba9487f8a8f5ae48","schema_version":"1.0","event_id":"sha256:251b78cc259b04351404c57e18074dfad826c2d2fc88e280ba9487f8a8f5ae48"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZVP2ZUWB56XHUVJZ7ROQEAWDTN/bundle.json","state_url":"https://pith.science/pith/ZVP2ZUWB56XHUVJZ7ROQEAWDTN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZVP2ZUWB56XHUVJZ7ROQEAWDTN/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":"2026-08-01T08:10:41Z","links":{"resolver":"https://pith.science/pith/ZVP2ZUWB56XHUVJZ7ROQEAWDTN","bundle":"https://pith.science/pith/ZVP2ZUWB56XHUVJZ7ROQEAWDTN/bundle.json","state":"https://pith.science/pith/ZVP2ZUWB56XHUVJZ7ROQEAWDTN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZVP2ZUWB56XHUVJZ7ROQEAWDTN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ZVP2ZUWB56XHUVJZ7ROQEAWDTN","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":"f9a3d5068a05407a3f9b763b5976d9fbb394f9a4ff40c5664e47bd1e769fa9da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-16T18:00:39Z","title_canon_sha256":"5b6dacbc1cd56768b8e13526a8eb5795de4d993d830640225171537808338aa3"},"schema_version":"1.0","source":{"id":"2409.10624","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.10624","created_at":"2026-07-05T11:03:01Z"},{"alias_kind":"arxiv_version","alias_value":"2409.10624v3","created_at":"2026-07-05T11:03:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.10624","created_at":"2026-07-05T11:03:01Z"},{"alias_kind":"pith_short_12","alias_value":"ZVP2ZUWB56XH","created_at":"2026-07-05T11:03:01Z"},{"alias_kind":"pith_short_16","alias_value":"ZVP2ZUWB56XHUVJZ","created_at":"2026-07-05T11:03:01Z"},{"alias_kind":"pith_short_8","alias_value":"ZVP2ZUWB","created_at":"2026-07-05T11:03:01Z"}],"graph_snapshots":[{"event_id":"sha256:251b78cc259b04351404c57e18074dfad826c2d2fc88e280ba9487f8a8f5ae48","target":"graph","created_at":"2026-07-05T11:03:01Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2409.10624/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give the full representation theory of the gravitational extended corner symmetry group in two-dimensions. This includes projective representations, which correspond to representations of the quantum corner symmetry group. We find that they are described by one-dimensional conformal fields with an additional index in the Fock space of the harmonic oscillator. We begin with a review of Mackey's theory of induced representations and then proceed to its application to the corner symmetries. The field representations, induced from the irreducible representations of the special linear group are ","authors_text":"Ludovic Varrin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-16T18:00:39Z","title":"Physical Representations of Corner Symmetries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.10624","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:ee664bcf91278bd6c3f1011cbcc98efdc69f597b00079be33967464df476ff8c","target":"record","created_at":"2026-07-05T11:03:01Z","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":"f9a3d5068a05407a3f9b763b5976d9fbb394f9a4ff40c5664e47bd1e769fa9da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-16T18:00:39Z","title_canon_sha256":"5b6dacbc1cd56768b8e13526a8eb5795de4d993d830640225171537808338aa3"},"schema_version":"1.0","source":{"id":"2409.10624","kind":"arxiv","version":3}},"canonical_sha256":"cd5facd2c1efae7a5539fc5d0202c39b666789f46263a09522c9bb6cbd0575a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd5facd2c1efae7a5539fc5d0202c39b666789f46263a09522c9bb6cbd0575a8","first_computed_at":"2026-07-05T11:03:01.487505Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:03:01.487505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MYqcgdjSb6N9Onsc3sgqa0BqLevH/WdvbZ0U0tgYUTc1SGGutXZDAo3elVNGWrh+LtgPw9Gs6XNExsTLpOV3Aw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:03:01.487909Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.10624","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee664bcf91278bd6c3f1011cbcc98efdc69f597b00079be33967464df476ff8c","sha256:251b78cc259b04351404c57e18074dfad826c2d2fc88e280ba9487f8a8f5ae48"],"state_sha256":"6c8877063a3d63fa7284b47d4ca5d7a193bcbfd0473bf11cc6fcdee088ba61f8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PxgeHSd/NaSfC/wzC/Vn9Q/QF/8d9M2zNXXuwBNXF9ZeDM3oes+QRxIroVZniPYYyRlBzAmG2ldj0qyNUjTsDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T08:10:41.788423Z","bundle_sha256":"249565152c168b20a95384b3696b7bb19e1162415462ec684337f0d4cc08b41a"}}