{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:GWMFWCSKD46YMKIWYXQ4Y67OOH","short_pith_number":"pith:GWMFWCSK","canonical_record":{"source":{"id":"hep-th/0106165","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2001-06-19T04:25:00Z","cross_cats_sorted":[],"title_canon_sha256":"d8741ff695e50da01bf70f149738bde3ec3820ca97aa503e2be54c219958985d","abstract_canon_sha256":"0a3759c8326fbd283392048156ff62a075deb6d6b6e909313102fe7937424952"},"schema_version":"1.0"},"canonical_sha256":"35985b0a4a1f3d862916c5e1cc7bee71dc0d39ba1a66a83719af0a06561d9774","source":{"kind":"arxiv","id":"hep-th/0106165","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0106165","created_at":"2026-07-04T16:27:54Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0106165v2","created_at":"2026-07-04T16:27:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0106165","created_at":"2026-07-04T16:27:54Z"},{"alias_kind":"pith_short_12","alias_value":"GWMFWCSKD46Y","created_at":"2026-07-04T16:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"GWMFWCSKD46YMKIW","created_at":"2026-07-04T16:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"GWMFWCSK","created_at":"2026-07-04T16:27:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:GWMFWCSKD46YMKIWYXQ4Y67OOH","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0106165","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2001-06-19T04:25:00Z","cross_cats_sorted":[],"title_canon_sha256":"d8741ff695e50da01bf70f149738bde3ec3820ca97aa503e2be54c219958985d","abstract_canon_sha256":"0a3759c8326fbd283392048156ff62a075deb6d6b6e909313102fe7937424952"},"schema_version":"1.0"},"canonical_sha256":"35985b0a4a1f3d862916c5e1cc7bee71dc0d39ba1a66a83719af0a06561d9774","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:27:54.895525Z","signature_b64":"bi/ej3xb4TvO9RJnL2uCBOeRxzEUKr0U3/Gmg3PJ+cA5Z3Ni/E3j4zyHsrz0/65/mT/yHAzpOMoqgD4D7+RkBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"35985b0a4a1f3d862916c5e1cc7bee71dc0d39ba1a66a83719af0a06561d9774","last_reissued_at":"2026-07-04T16:27:54.895156Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:27:54.895156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0106165","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":"2026-07-04T16:27:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3gui9gtfUTtgaTNX/F/8zI6NKLAGVq6KXsCTbDjyA3pvzSXiwjlpwThyUJwmsR6ZoEEpz3nMTIoylHvrE6WkBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T16:15:01.836181Z"},"content_sha256":"5206e1a0c6eda0bf3b37637a4964c518bcafaa186d62deb09a3107a41af154fc","schema_version":"1.0","event_id":"sha256:5206e1a0c6eda0bf3b37637a4964c518bcafaa186d62deb09a3107a41af154fc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:GWMFWCSKD46YMKIWYXQ4Y67OOH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anomaly of (2,0) Theories","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Piljin Yi","submitted_at":"2001-06-19T04:25:00Z","abstract_excerpt":"We compute gravitational and axial anomaly for D-type (2,0) theories realized on N pairs of coincident M5-branes at R^5/Z_2 orbifold fixed point. We first summarize work by Harvey, Minasian, and Moore on A-type (2,0) theories, and then extend it to include the effect of orbifold fixed point. The net anomaly inflow follows when we further take into account the consistency of T^5/Z_2 M-theory orbifold. We deduce that the world-volume anomaly is given by N{\\cal J}_8 + N(2N-1)(2N-2) p_2/24 where {\\cal J}_8 is the anomaly polynomial of a free tensor multiplet and p_2 is the second Pontryagin class "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0106165","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0106165/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":"2026-07-04T16:27:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l3lmLQqBntMr+WJFIik2NLVMEu3uCagMYbBamu741imj89NWa4DxjtqaOYHZeZBZcAbvJhHiTrcsx9stHRaIAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T16:15:01.838434Z"},"content_sha256":"81d656a3255c6893f81a53ea5cad1c50930829c1419a9084d9a64fa2893f19f7","schema_version":"1.0","event_id":"sha256:81d656a3255c6893f81a53ea5cad1c50930829c1419a9084d9a64fa2893f19f7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GWMFWCSKD46YMKIWYXQ4Y67OOH/bundle.json","state_url":"https://pith.science/pith/GWMFWCSKD46YMKIWYXQ4Y67OOH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GWMFWCSKD46YMKIWYXQ4Y67OOH/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":"2026-08-20T16:15:01Z","links":{"resolver":"https://pith.science/pith/GWMFWCSKD46YMKIWYXQ4Y67OOH","bundle":"https://pith.science/pith/GWMFWCSKD46YMKIWYXQ4Y67OOH/bundle.json","state":"https://pith.science/pith/GWMFWCSKD46YMKIWYXQ4Y67OOH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GWMFWCSKD46YMKIWYXQ4Y67OOH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:GWMFWCSKD46YMKIWYXQ4Y67OOH","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":"0a3759c8326fbd283392048156ff62a075deb6d6b6e909313102fe7937424952","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2001-06-19T04:25:00Z","title_canon_sha256":"d8741ff695e50da01bf70f149738bde3ec3820ca97aa503e2be54c219958985d"},"schema_version":"1.0","source":{"id":"hep-th/0106165","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0106165","created_at":"2026-07-04T16:27:54Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0106165v2","created_at":"2026-07-04T16:27:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0106165","created_at":"2026-07-04T16:27:54Z"},{"alias_kind":"pith_short_12","alias_value":"GWMFWCSKD46Y","created_at":"2026-07-04T16:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"GWMFWCSKD46YMKIW","created_at":"2026-07-04T16:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"GWMFWCSK","created_at":"2026-07-04T16:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:81d656a3255c6893f81a53ea5cad1c50930829c1419a9084d9a64fa2893f19f7","target":"graph","created_at":"2026-07-04T16:27:54Z","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/hep-th/0106165/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute gravitational and axial anomaly for D-type (2,0) theories realized on N pairs of coincident M5-branes at R^5/Z_2 orbifold fixed point. We first summarize work by Harvey, Minasian, and Moore on A-type (2,0) theories, and then extend it to include the effect of orbifold fixed point. The net anomaly inflow follows when we further take into account the consistency of T^5/Z_2 M-theory orbifold. We deduce that the world-volume anomaly is given by N{\\cal J}_8 + N(2N-1)(2N-2) p_2/24 where {\\cal J}_8 is the anomaly polynomial of a free tensor multiplet and p_2 is the second Pontryagin class ","authors_text":"Piljin Yi","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2001-06-19T04:25:00Z","title":"Anomaly of (2,0) Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0106165","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":"sha256:5206e1a0c6eda0bf3b37637a4964c518bcafaa186d62deb09a3107a41af154fc","target":"record","created_at":"2026-07-04T16:27:54Z","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":"0a3759c8326fbd283392048156ff62a075deb6d6b6e909313102fe7937424952","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2001-06-19T04:25:00Z","title_canon_sha256":"d8741ff695e50da01bf70f149738bde3ec3820ca97aa503e2be54c219958985d"},"schema_version":"1.0","source":{"id":"hep-th/0106165","kind":"arxiv","version":2}},"canonical_sha256":"35985b0a4a1f3d862916c5e1cc7bee71dc0d39ba1a66a83719af0a06561d9774","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"35985b0a4a1f3d862916c5e1cc7bee71dc0d39ba1a66a83719af0a06561d9774","first_computed_at":"2026-07-04T16:27:54.895156Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:27:54.895156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bi/ej3xb4TvO9RJnL2uCBOeRxzEUKr0U3/Gmg3PJ+cA5Z3Ni/E3j4zyHsrz0/65/mT/yHAzpOMoqgD4D7+RkBA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:27:54.895525Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0106165","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5206e1a0c6eda0bf3b37637a4964c518bcafaa186d62deb09a3107a41af154fc","sha256:81d656a3255c6893f81a53ea5cad1c50930829c1419a9084d9a64fa2893f19f7"],"state_sha256":"eae3934100577ca8359b87dc20b5bdd0bfc583094acb604456acf7aa1a0615ef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Id5MhsGSdeNXrg3uwnl+juw9kPbHclv6zYlch6EHTc4/8cwmIfSxIZcgVn3MjhRcK3PrQ7/uQzn4AjvvW+V8Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T16:15:01.846857Z","bundle_sha256":"85d496bc523f5c89b6bc1a74f2297d019eb30cf2bd4036b6df53e61c0b3a3d86"}}