{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:NFH3NR5BWGLUG7PXEC3CKEMPGP","short_pith_number":"pith:NFH3NR5B","canonical_record":{"source":{"id":"1601.02728","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-12T04:44:18Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b9d7a71a712f7b35c2304832db23a13285ab84d3a74375448b545095089c85f3","abstract_canon_sha256":"4b7784ef4f9ad211fc912054c6ffbadf6533102b942a4a09b1b8de82ea6b1f82"},"schema_version":"1.0"},"canonical_sha256":"694fb6c7a1b197437df720b625118f33ede300a6eb28aceb97a9a176a9d907cd","source":{"kind":"arxiv","id":"1601.02728","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.02728","created_at":"2026-05-18T01:10:07Z"},{"alias_kind":"arxiv_version","alias_value":"1601.02728v1","created_at":"2026-05-18T01:10:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.02728","created_at":"2026-05-18T01:10:07Z"},{"alias_kind":"pith_short_12","alias_value":"NFH3NR5BWGLU","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"NFH3NR5BWGLUG7PX","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"NFH3NR5B","created_at":"2026-05-18T12:30:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:NFH3NR5BWGLUG7PXEC3CKEMPGP","target":"record","payload":{"canonical_record":{"source":{"id":"1601.02728","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-12T04:44:18Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b9d7a71a712f7b35c2304832db23a13285ab84d3a74375448b545095089c85f3","abstract_canon_sha256":"4b7784ef4f9ad211fc912054c6ffbadf6533102b942a4a09b1b8de82ea6b1f82"},"schema_version":"1.0"},"canonical_sha256":"694fb6c7a1b197437df720b625118f33ede300a6eb28aceb97a9a176a9d907cd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:07.569109Z","signature_b64":"7zbuWpNruQVHw7BoyCD2/vp657Fl9RPy0gtyo5BKyDmps1OQP9KVUL5HiTmW+BVlkXxlJdX9EOsJ/HH1LXcUCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"694fb6c7a1b197437df720b625118f33ede300a6eb28aceb97a9a176a9d907cd","last_reissued_at":"2026-05-18T01:10:07.568566Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:07.568566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.02728","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":"2026-05-18T01:10:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VrkA3dh8W49bkjP7PkOmqMu/UZUROXoCsqi9j8tn2fPf76MkPgojjumjQyg4fJVX1eichhsIcpIl4qI/S2eUCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:24:42.643959Z"},"content_sha256":"f74c9ab2ee23e3c3deb3acdf5eddb6c95083e4896e379f7ff3b448cd0ff44dee","schema_version":"1.0","event_id":"sha256:f74c9ab2ee23e3c3deb3acdf5eddb6c95083e4896e379f7ff3b448cd0ff44dee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:NFH3NR5BWGLUG7PXEC3CKEMPGP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"ABJM on ellipsoid and topological strings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Yasuyuki Hatsuda","submitted_at":"2016-01-12T04:44:18Z","abstract_excerpt":"It is known that the large N expansion of the partition function in ABJM theory on a three-sphere is completely determined by the topological string on local Hirzebruch surface F_0. In this note, we investigate the ABJM partition function on an ellipsoid, which has a conventional deformation parameter b. Using 3d mirror symmetry, we find a remarkable relation between the ellipsoid partition function for b^2=3 (or b^2=1/3) in ABJM theory at k=1 and a matrix model for the topological string on another Calabi-Yau threefold, known as local P^2. As in the case of b=1, we can compute the full large "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.02728","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":"2026-05-18T01:10:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u5tdrQJ994yRq33mcoQUHT+TdcgtrTKvhp2MrrwJPphJwcchPulEqqjJFtaiNUewLw7IqVNiLRj+DpiH3GztCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:24:42.644809Z"},"content_sha256":"56b7adbbf9a287dd8e57152171c96896e96bf756b311970e0128b827fbef519a","schema_version":"1.0","event_id":"sha256:56b7adbbf9a287dd8e57152171c96896e96bf756b311970e0128b827fbef519a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NFH3NR5BWGLUG7PXEC3CKEMPGP/bundle.json","state_url":"https://pith.science/pith/NFH3NR5BWGLUG7PXEC3CKEMPGP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NFH3NR5BWGLUG7PXEC3CKEMPGP/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":"2026-06-10T05:24:42Z","links":{"resolver":"https://pith.science/pith/NFH3NR5BWGLUG7PXEC3CKEMPGP","bundle":"https://pith.science/pith/NFH3NR5BWGLUG7PXEC3CKEMPGP/bundle.json","state":"https://pith.science/pith/NFH3NR5BWGLUG7PXEC3CKEMPGP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NFH3NR5BWGLUG7PXEC3CKEMPGP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:NFH3NR5BWGLUG7PXEC3CKEMPGP","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":"4b7784ef4f9ad211fc912054c6ffbadf6533102b942a4a09b1b8de82ea6b1f82","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-12T04:44:18Z","title_canon_sha256":"b9d7a71a712f7b35c2304832db23a13285ab84d3a74375448b545095089c85f3"},"schema_version":"1.0","source":{"id":"1601.02728","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.02728","created_at":"2026-05-18T01:10:07Z"},{"alias_kind":"arxiv_version","alias_value":"1601.02728v1","created_at":"2026-05-18T01:10:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.02728","created_at":"2026-05-18T01:10:07Z"},{"alias_kind":"pith_short_12","alias_value":"NFH3NR5BWGLU","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"NFH3NR5BWGLUG7PX","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"NFH3NR5B","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:56b7adbbf9a287dd8e57152171c96896e96bf756b311970e0128b827fbef519a","target":"graph","created_at":"2026-05-18T01:10:07Z","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":"It is known that the large N expansion of the partition function in ABJM theory on a three-sphere is completely determined by the topological string on local Hirzebruch surface F_0. In this note, we investigate the ABJM partition function on an ellipsoid, which has a conventional deformation parameter b. Using 3d mirror symmetry, we find a remarkable relation between the ellipsoid partition function for b^2=3 (or b^2=1/3) in ABJM theory at k=1 and a matrix model for the topological string on another Calabi-Yau threefold, known as local P^2. As in the case of b=1, we can compute the full large ","authors_text":"Yasuyuki Hatsuda","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-12T04:44:18Z","title":"ABJM on ellipsoid and topological strings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.02728","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:f74c9ab2ee23e3c3deb3acdf5eddb6c95083e4896e379f7ff3b448cd0ff44dee","target":"record","created_at":"2026-05-18T01:10:07Z","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":"4b7784ef4f9ad211fc912054c6ffbadf6533102b942a4a09b1b8de82ea6b1f82","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-12T04:44:18Z","title_canon_sha256":"b9d7a71a712f7b35c2304832db23a13285ab84d3a74375448b545095089c85f3"},"schema_version":"1.0","source":{"id":"1601.02728","kind":"arxiv","version":1}},"canonical_sha256":"694fb6c7a1b197437df720b625118f33ede300a6eb28aceb97a9a176a9d907cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"694fb6c7a1b197437df720b625118f33ede300a6eb28aceb97a9a176a9d907cd","first_computed_at":"2026-05-18T01:10:07.568566Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:07.568566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7zbuWpNruQVHw7BoyCD2/vp657Fl9RPy0gtyo5BKyDmps1OQP9KVUL5HiTmW+BVlkXxlJdX9EOsJ/HH1LXcUCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:07.569109Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.02728","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f74c9ab2ee23e3c3deb3acdf5eddb6c95083e4896e379f7ff3b448cd0ff44dee","sha256:56b7adbbf9a287dd8e57152171c96896e96bf756b311970e0128b827fbef519a"],"state_sha256":"b4c9c57120afc1a0049fd1ccee4bfc30727040f1205a1d6738b061b985c7e2e8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T4wG4/4sNW8OyaghHUfN98THcsmJZ+VQao8zjjaZ80Bav27q+A6z/2foR2r1y8fKWRQfWTDmoPwNSNInAaN4DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T05:24:42.649461Z","bundle_sha256":"a12f76d9cf6276e80feececb68abf4a8dd2adccb8a609f2c52f964d9f7664813"}}