{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:7XRZJZ5VRMFLZHBZ7LNRT3EHRT","short_pith_number":"pith:7XRZJZ5V","canonical_record":{"source":{"id":"2401.11484","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-01-21T13:13:45Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b8923f62b2b13cf8a1bba02d115e191202175793e488ef64b0a36e87dc95d632","abstract_canon_sha256":"74b05fb708cc2e1903034e06ee96f7b06e3667aa0a097ecf0fa57f39912d2efc"},"schema_version":"1.0"},"canonical_sha256":"fde394e7b58b0abc9c39fadb19ec878cc2ea46cf65ccd0471be230481f7ae117","source":{"kind":"arxiv","id":"2401.11484","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.11484","created_at":"2026-07-05T08:05:09Z"},{"alias_kind":"arxiv_version","alias_value":"2401.11484v3","created_at":"2026-07-05T08:05:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.11484","created_at":"2026-07-05T08:05:09Z"},{"alias_kind":"pith_short_12","alias_value":"7XRZJZ5VRMFL","created_at":"2026-07-05T08:05:09Z"},{"alias_kind":"pith_short_16","alias_value":"7XRZJZ5VRMFLZHBZ","created_at":"2026-07-05T08:05:09Z"},{"alias_kind":"pith_short_8","alias_value":"7XRZJZ5V","created_at":"2026-07-05T08:05:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:7XRZJZ5VRMFLZHBZ7LNRT3EHRT","target":"record","payload":{"canonical_record":{"source":{"id":"2401.11484","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-01-21T13:13:45Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b8923f62b2b13cf8a1bba02d115e191202175793e488ef64b0a36e87dc95d632","abstract_canon_sha256":"74b05fb708cc2e1903034e06ee96f7b06e3667aa0a097ecf0fa57f39912d2efc"},"schema_version":"1.0"},"canonical_sha256":"fde394e7b58b0abc9c39fadb19ec878cc2ea46cf65ccd0471be230481f7ae117","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:05:09.520748Z","signature_b64":"gSHFseAWq8r/FzWr1R1InEcA9ZaJmuZlN5y8BGX3f8gI5zweJtRpvkX+dJ0jK+Gsoz/bkIvFWMr89Pc4vAmvAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fde394e7b58b0abc9c39fadb19ec878cc2ea46cf65ccd0471be230481f7ae117","last_reissued_at":"2026-07-05T08:05:09.520274Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:05:09.520274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2401.11484","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":"2026-07-05T08:05:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yoMUEIJ85LwB+hA+hlvT/yY2+imY90bqKKk88LX3M3DnM9O8F5aBCOSLkDFinOOQvWo8eG68JphmRhBRVELRDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T15:37:38.897020Z"},"content_sha256":"9875d74b7b35eda9fc95bbbb43c942f653865d58978671c2083efb5bc1e41dc4","schema_version":"1.0","event_id":"sha256:9875d74b7b35eda9fc95bbbb43c942f653865d58978671c2083efb5bc1e41dc4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:7XRZJZ5VRMFLZHBZ7LNRT3EHRT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Large N expansion of mass deformed ABJM matrix model: M2-instanton condensation and beyond","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Tomoki Nosaka","submitted_at":"2024-01-21T13:13:45Z","abstract_excerpt":"We find new bilinear relations for the partition functions of U(N)_k x U(N+M)_{-k} ABJ theory with two parameter mass deformation (m_1,m_2), which generalize the q-Toda-like equation found previously for m_1=m_2. By combining the bilinear relations with the Seiberg-like dualities and the duality cascade relations, we can determine the exact values of the partition functions recursively with respect to N. This method is more efficient than the exact calculation by the standard TBA-like approach in the Fermi gas formalism. As an application we study the large N asymptotics of the partition funct"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.11484","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/2401.11484/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":"2026-07-05T08:05:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZCEvYbRTEP+wkYBY/tRJO3PfWgqUDtPJ99ujHvft/AmehfW53pK0OPrM8Hdq/ttfVKlFcPAdlhLCgg/+ccyEDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T15:37:38.897978Z"},"content_sha256":"ac01d7d598615122c990574edd0a10c668b73405c02c7f2019856a66d20e5cc5","schema_version":"1.0","event_id":"sha256:ac01d7d598615122c990574edd0a10c668b73405c02c7f2019856a66d20e5cc5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7XRZJZ5VRMFLZHBZ7LNRT3EHRT/bundle.json","state_url":"https://pith.science/pith/7XRZJZ5VRMFLZHBZ7LNRT3EHRT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7XRZJZ5VRMFLZHBZ7LNRT3EHRT/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":"2026-08-12T15:37:38Z","links":{"resolver":"https://pith.science/pith/7XRZJZ5VRMFLZHBZ7LNRT3EHRT","bundle":"https://pith.science/pith/7XRZJZ5VRMFLZHBZ7LNRT3EHRT/bundle.json","state":"https://pith.science/pith/7XRZJZ5VRMFLZHBZ7LNRT3EHRT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7XRZJZ5VRMFLZHBZ7LNRT3EHRT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:7XRZJZ5VRMFLZHBZ7LNRT3EHRT","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":"74b05fb708cc2e1903034e06ee96f7b06e3667aa0a097ecf0fa57f39912d2efc","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-01-21T13:13:45Z","title_canon_sha256":"b8923f62b2b13cf8a1bba02d115e191202175793e488ef64b0a36e87dc95d632"},"schema_version":"1.0","source":{"id":"2401.11484","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.11484","created_at":"2026-07-05T08:05:09Z"},{"alias_kind":"arxiv_version","alias_value":"2401.11484v3","created_at":"2026-07-05T08:05:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.11484","created_at":"2026-07-05T08:05:09Z"},{"alias_kind":"pith_short_12","alias_value":"7XRZJZ5VRMFL","created_at":"2026-07-05T08:05:09Z"},{"alias_kind":"pith_short_16","alias_value":"7XRZJZ5VRMFLZHBZ","created_at":"2026-07-05T08:05:09Z"},{"alias_kind":"pith_short_8","alias_value":"7XRZJZ5V","created_at":"2026-07-05T08:05:09Z"}],"graph_snapshots":[{"event_id":"sha256:ac01d7d598615122c990574edd0a10c668b73405c02c7f2019856a66d20e5cc5","target":"graph","created_at":"2026-07-05T08:05:09Z","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/2401.11484/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We find new bilinear relations for the partition functions of U(N)_k x U(N+M)_{-k} ABJ theory with two parameter mass deformation (m_1,m_2), which generalize the q-Toda-like equation found previously for m_1=m_2. By combining the bilinear relations with the Seiberg-like dualities and the duality cascade relations, we can determine the exact values of the partition functions recursively with respect to N. This method is more efficient than the exact calculation by the standard TBA-like approach in the Fermi gas formalism. As an application we study the large N asymptotics of the partition funct","authors_text":"Tomoki Nosaka","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-01-21T13:13:45Z","title":"Large N expansion of mass deformed ABJM matrix model: M2-instanton condensation and beyond"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.11484","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":"sha256:9875d74b7b35eda9fc95bbbb43c942f653865d58978671c2083efb5bc1e41dc4","target":"record","created_at":"2026-07-05T08:05:09Z","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":"74b05fb708cc2e1903034e06ee96f7b06e3667aa0a097ecf0fa57f39912d2efc","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-01-21T13:13:45Z","title_canon_sha256":"b8923f62b2b13cf8a1bba02d115e191202175793e488ef64b0a36e87dc95d632"},"schema_version":"1.0","source":{"id":"2401.11484","kind":"arxiv","version":3}},"canonical_sha256":"fde394e7b58b0abc9c39fadb19ec878cc2ea46cf65ccd0471be230481f7ae117","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fde394e7b58b0abc9c39fadb19ec878cc2ea46cf65ccd0471be230481f7ae117","first_computed_at":"2026-07-05T08:05:09.520274Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:05:09.520274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gSHFseAWq8r/FzWr1R1InEcA9ZaJmuZlN5y8BGX3f8gI5zweJtRpvkX+dJ0jK+Gsoz/bkIvFWMr89Pc4vAmvAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:05:09.520748Z","signed_message":"canonical_sha256_bytes"},"source_id":"2401.11484","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9875d74b7b35eda9fc95bbbb43c942f653865d58978671c2083efb5bc1e41dc4","sha256:ac01d7d598615122c990574edd0a10c668b73405c02c7f2019856a66d20e5cc5"],"state_sha256":"90ae0df79ba77a18c24f6501b7f01cadcfd8c2bb8796a30e9187e52c353fa292"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/PEwcY6K3yHrY0y18UiosRnyaT13Np2RQtu59vsiDI+Uyx2pr/N1huElh3TJp3QzgwQxllblSmM60oE4zerKCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T15:37:38.905563Z","bundle_sha256":"803f4731aa8dc9b51ad9af9887d81a992b167a8ce2559555b6a590455ac488ba"}}