{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:HWP3EILWD7NUSSOKZHEWDCA5GE","short_pith_number":"pith:HWP3EILW","canonical_record":{"source":{"id":"1001.4779","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-26T19:22:38Z","cross_cats_sorted":[],"title_canon_sha256":"f8c1ff4c24397d2497acc743c74c6d4a6241e412c29afd4c36c6bdbd12b4cd1f","abstract_canon_sha256":"a4925d3f639dc43a70aff4f7853eecc4e360d9e2315e5fc04e40d70e8e1289d4"},"schema_version":"1.0"},"canonical_sha256":"3d9fb221761fdb4949cac9c961881d31105dc575b5627c378b8a606f79789ffd","source":{"kind":"arxiv","id":"1001.4779","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.4779","created_at":"2026-05-18T02:33:49Z"},{"alias_kind":"arxiv_version","alias_value":"1001.4779v3","created_at":"2026-05-18T02:33:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.4779","created_at":"2026-05-18T02:33:49Z"},{"alias_kind":"pith_short_12","alias_value":"HWP3EILWD7NU","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HWP3EILWD7NUSSOK","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HWP3EILW","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:HWP3EILWD7NUSSOKZHEWDCA5GE","target":"record","payload":{"canonical_record":{"source":{"id":"1001.4779","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-26T19:22:38Z","cross_cats_sorted":[],"title_canon_sha256":"f8c1ff4c24397d2497acc743c74c6d4a6241e412c29afd4c36c6bdbd12b4cd1f","abstract_canon_sha256":"a4925d3f639dc43a70aff4f7853eecc4e360d9e2315e5fc04e40d70e8e1289d4"},"schema_version":"1.0"},"canonical_sha256":"3d9fb221761fdb4949cac9c961881d31105dc575b5627c378b8a606f79789ffd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:49.176432Z","signature_b64":"PyMQGD4iWC7wm6TWjQgiH7AIJG7lQhb7JXn8tWbefns8cI5Hs9k3QrfQ6+Sy9Tjv4rMOJEdUIcyUQcoq0XuwBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d9fb221761fdb4949cac9c961881d31105dc575b5627c378b8a606f79789ffd","last_reissued_at":"2026-05-18T02:33:49.175900Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:49.175900Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1001.4779","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":"2026-05-18T02:33:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YMI2uXVal9ZgRWAcx0du2FNPab/xwQSqy9ttBEfk8Cc0pUXZ7PUqrqbogM9V6w8beyA0Aj/N1W3bJdxpm5oGDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T09:00:30.883480Z"},"content_sha256":"729268a61975c2069a3634f583ff8b0309b7f50c414a9f0c71528633ed1fbe11","schema_version":"1.0","event_id":"sha256:729268a61975c2069a3634f583ff8b0309b7f50c414a9f0c71528633ed1fbe11"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:HWP3EILWD7NUSSOKZHEWDCA5GE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relating U(N)xU(N) to SU(N)xSU(N) Chern-Simons Membrane theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Constantinos Papageorgakis, Neil Lambert","submitted_at":"2010-01-26T19:22:38Z","abstract_excerpt":"By integrating out the U(1)_B gauge field, we show that the U(n)xU(n) ABJM theory at level k is equivalent to a Z_k identification of the (SU(n)xSU(n))/Z_n Chern-Simons theory, but only when n and k are coprime. As a consequence, the k=1 ABJM model for two M2-branes in R^8 can be identified with the N=8 (SU(2)xSU(2))/Z_2 theory. We also conjecture that the U(2)xU(2) ABJM model at k=2 is equivalent to the N=8 SU(2)xSU(2)-theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.4779","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":"2026-05-18T02:33:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6bKzUGBKlu9dcfBa6AUD6J0cOeiugxjiP6o/SDOougp26fqv6rzYj/2PKVNeW9CRpBVJcWGHbKcda0qqRmtsDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T09:00:30.884166Z"},"content_sha256":"ef0bea72134f4c6e6b3353fbd8c882ce243748622a9b38da3cd609197e9510af","schema_version":"1.0","event_id":"sha256:ef0bea72134f4c6e6b3353fbd8c882ce243748622a9b38da3cd609197e9510af"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HWP3EILWD7NUSSOKZHEWDCA5GE/bundle.json","state_url":"https://pith.science/pith/HWP3EILWD7NUSSOKZHEWDCA5GE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HWP3EILWD7NUSSOKZHEWDCA5GE/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":"2026-05-30T09:00:30Z","links":{"resolver":"https://pith.science/pith/HWP3EILWD7NUSSOKZHEWDCA5GE","bundle":"https://pith.science/pith/HWP3EILWD7NUSSOKZHEWDCA5GE/bundle.json","state":"https://pith.science/pith/HWP3EILWD7NUSSOKZHEWDCA5GE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HWP3EILWD7NUSSOKZHEWDCA5GE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:HWP3EILWD7NUSSOKZHEWDCA5GE","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":"a4925d3f639dc43a70aff4f7853eecc4e360d9e2315e5fc04e40d70e8e1289d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-26T19:22:38Z","title_canon_sha256":"f8c1ff4c24397d2497acc743c74c6d4a6241e412c29afd4c36c6bdbd12b4cd1f"},"schema_version":"1.0","source":{"id":"1001.4779","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.4779","created_at":"2026-05-18T02:33:49Z"},{"alias_kind":"arxiv_version","alias_value":"1001.4779v3","created_at":"2026-05-18T02:33:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.4779","created_at":"2026-05-18T02:33:49Z"},{"alias_kind":"pith_short_12","alias_value":"HWP3EILWD7NU","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HWP3EILWD7NUSSOK","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HWP3EILW","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:ef0bea72134f4c6e6b3353fbd8c882ce243748622a9b38da3cd609197e9510af","target":"graph","created_at":"2026-05-18T02:33:49Z","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":"By integrating out the U(1)_B gauge field, we show that the U(n)xU(n) ABJM theory at level k is equivalent to a Z_k identification of the (SU(n)xSU(n))/Z_n Chern-Simons theory, but only when n and k are coprime. As a consequence, the k=1 ABJM model for two M2-branes in R^8 can be identified with the N=8 (SU(2)xSU(2))/Z_2 theory. We also conjecture that the U(2)xU(2) ABJM model at k=2 is equivalent to the N=8 SU(2)xSU(2)-theory.","authors_text":"Constantinos Papageorgakis, Neil Lambert","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-26T19:22:38Z","title":"Relating U(N)xU(N) to SU(N)xSU(N) Chern-Simons Membrane theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.4779","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":"sha256:729268a61975c2069a3634f583ff8b0309b7f50c414a9f0c71528633ed1fbe11","target":"record","created_at":"2026-05-18T02:33:49Z","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":"a4925d3f639dc43a70aff4f7853eecc4e360d9e2315e5fc04e40d70e8e1289d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-26T19:22:38Z","title_canon_sha256":"f8c1ff4c24397d2497acc743c74c6d4a6241e412c29afd4c36c6bdbd12b4cd1f"},"schema_version":"1.0","source":{"id":"1001.4779","kind":"arxiv","version":3}},"canonical_sha256":"3d9fb221761fdb4949cac9c961881d31105dc575b5627c378b8a606f79789ffd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d9fb221761fdb4949cac9c961881d31105dc575b5627c378b8a606f79789ffd","first_computed_at":"2026-05-18T02:33:49.175900Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:49.175900Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PyMQGD4iWC7wm6TWjQgiH7AIJG7lQhb7JXn8tWbefns8cI5Hs9k3QrfQ6+Sy9Tjv4rMOJEdUIcyUQcoq0XuwBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:49.176432Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.4779","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:729268a61975c2069a3634f583ff8b0309b7f50c414a9f0c71528633ed1fbe11","sha256:ef0bea72134f4c6e6b3353fbd8c882ce243748622a9b38da3cd609197e9510af"],"state_sha256":"05220f16e1301e77fcb2de4600316220d45c0f8f7621dd8655dafcd0a85ef33a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tbkKhyfF+/JVs32veO1K26UWrqQIjADsrdTgigZCV2EpkdHnFCEARhHBIAq9u5lpFSphvs+SlVaUJfC0q2/JAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T09:00:30.888870Z","bundle_sha256":"7f75f8829b9b36ec6c95fb7a86636b01437dce73fbd1e1145b960fd08e669fbd"}}