{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:YGVZJZA3IYDTN7ABWMLDRDLULV","short_pith_number":"pith:YGVZJZA3","canonical_record":{"source":{"id":"hep-th/0702120","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-02-15T08:24:50Z","cross_cats_sorted":[],"title_canon_sha256":"8aa03f88b52e540ae840ebfe8ea697257e483d094afd448d24e9b23dbdf0457d","abstract_canon_sha256":"c5f893ba6c37bde5588a364a16b55146812a55bb8e25dac0c918f627887fd110"},"schema_version":"1.0"},"canonical_sha256":"c1ab94e41b460736fc01b316388d745d614a9c0efd7a49603bba3bb281e5dca1","source":{"kind":"arxiv","id":"hep-th/0702120","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0702120","created_at":"2026-05-18T04:38:38Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0702120v1","created_at":"2026-05-18T04:38:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0702120","created_at":"2026-05-18T04:38:38Z"},{"alias_kind":"pith_short_12","alias_value":"YGVZJZA3IYDT","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"YGVZJZA3IYDTN7AB","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"YGVZJZA3","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:YGVZJZA3IYDTN7ABWMLDRDLULV","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0702120","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-02-15T08:24:50Z","cross_cats_sorted":[],"title_canon_sha256":"8aa03f88b52e540ae840ebfe8ea697257e483d094afd448d24e9b23dbdf0457d","abstract_canon_sha256":"c5f893ba6c37bde5588a364a16b55146812a55bb8e25dac0c918f627887fd110"},"schema_version":"1.0"},"canonical_sha256":"c1ab94e41b460736fc01b316388d745d614a9c0efd7a49603bba3bb281e5dca1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:38.082943Z","signature_b64":"5pGcocoDuoY9TlybetDqmlekogDg1cEm1eF8uSynL25iXCAqZ2JTTzewKpm5JulR2l1mCF8YTE5H5mSCtWXqCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1ab94e41b460736fc01b316388d745d614a9c0efd7a49603bba3bb281e5dca1","last_reissued_at":"2026-05-18T04:38:38.082277Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:38.082277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0702120","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":"2026-05-18T04:38:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JFF+lbaNPEgnpG8WJeZnD5BGieFzyv7YJVFmLhEPuh7nHG+0ki1lwIMgFO9ycrWszaZVP4O9h788iPHZ1fpXCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T02:39:39.378281Z"},"content_sha256":"356b582477e95363572730a1bfec8bb5cf891d19e00a1a19b095751e72f7c5f4","schema_version":"1.0","event_id":"sha256:356b582477e95363572730a1bfec8bb5cf891d19e00a1a19b095751e72f7c5f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:YGVZJZA3IYDTN7ABWMLDRDLULV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Toric AdS4/CFT3 duals and M-theory Crystals","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jaemo Park, Sangmin Lee, Sungjay Lee","submitted_at":"2007-02-15T08:24:50Z","abstract_excerpt":"We study the recently proposed crystal model for three dimensional superconformal field theories arising from M2-branes probing toric Calabi-Yau four-fold singularities. We explain the algorithms mapping a toric Calabi-Yau to a crystal and vice versa, and show how the spectrum of BPS meson states fits into the crystal model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0702120","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":"2026-05-18T04:38:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZV1x23qVBOdHswEIV8O6JzhVb7jr4Oww6JhZoLF08sCePqdLvohkQYUJKGIojr1N0RcDudyyQFjX7+qXQd89Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T02:39:39.378713Z"},"content_sha256":"aea8c1db6a4680a742f0268cab734a7f9935ecafa4ae1a107a91161d68165fae","schema_version":"1.0","event_id":"sha256:aea8c1db6a4680a742f0268cab734a7f9935ecafa4ae1a107a91161d68165fae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YGVZJZA3IYDTN7ABWMLDRDLULV/bundle.json","state_url":"https://pith.science/pith/YGVZJZA3IYDTN7ABWMLDRDLULV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YGVZJZA3IYDTN7ABWMLDRDLULV/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":"2026-05-26T02:39:39Z","links":{"resolver":"https://pith.science/pith/YGVZJZA3IYDTN7ABWMLDRDLULV","bundle":"https://pith.science/pith/YGVZJZA3IYDTN7ABWMLDRDLULV/bundle.json","state":"https://pith.science/pith/YGVZJZA3IYDTN7ABWMLDRDLULV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YGVZJZA3IYDTN7ABWMLDRDLULV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:YGVZJZA3IYDTN7ABWMLDRDLULV","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":"c5f893ba6c37bde5588a364a16b55146812a55bb8e25dac0c918f627887fd110","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2007-02-15T08:24:50Z","title_canon_sha256":"8aa03f88b52e540ae840ebfe8ea697257e483d094afd448d24e9b23dbdf0457d"},"schema_version":"1.0","source":{"id":"hep-th/0702120","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0702120","created_at":"2026-05-18T04:38:38Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0702120v1","created_at":"2026-05-18T04:38:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0702120","created_at":"2026-05-18T04:38:38Z"},{"alias_kind":"pith_short_12","alias_value":"YGVZJZA3IYDT","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"YGVZJZA3IYDTN7AB","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"YGVZJZA3","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:aea8c1db6a4680a742f0268cab734a7f9935ecafa4ae1a107a91161d68165fae","target":"graph","created_at":"2026-05-18T04:38:38Z","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":"We study the recently proposed crystal model for three dimensional superconformal field theories arising from M2-branes probing toric Calabi-Yau four-fold singularities. We explain the algorithms mapping a toric Calabi-Yau to a crystal and vice versa, and show how the spectrum of BPS meson states fits into the crystal model.","authors_text":"Jaemo Park, Sangmin Lee, Sungjay Lee","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2007-02-15T08:24:50Z","title":"Toric AdS4/CFT3 duals and M-theory Crystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0702120","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":"sha256:356b582477e95363572730a1bfec8bb5cf891d19e00a1a19b095751e72f7c5f4","target":"record","created_at":"2026-05-18T04:38:38Z","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":"c5f893ba6c37bde5588a364a16b55146812a55bb8e25dac0c918f627887fd110","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2007-02-15T08:24:50Z","title_canon_sha256":"8aa03f88b52e540ae840ebfe8ea697257e483d094afd448d24e9b23dbdf0457d"},"schema_version":"1.0","source":{"id":"hep-th/0702120","kind":"arxiv","version":1}},"canonical_sha256":"c1ab94e41b460736fc01b316388d745d614a9c0efd7a49603bba3bb281e5dca1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c1ab94e41b460736fc01b316388d745d614a9c0efd7a49603bba3bb281e5dca1","first_computed_at":"2026-05-18T04:38:38.082277Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:38.082277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5pGcocoDuoY9TlybetDqmlekogDg1cEm1eF8uSynL25iXCAqZ2JTTzewKpm5JulR2l1mCF8YTE5H5mSCtWXqCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:38.082943Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0702120","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:356b582477e95363572730a1bfec8bb5cf891d19e00a1a19b095751e72f7c5f4","sha256:aea8c1db6a4680a742f0268cab734a7f9935ecafa4ae1a107a91161d68165fae"],"state_sha256":"f4bac3c683c50c5b9d14d3961e117ee243f10571b4f42b7caebe56ac565c5498"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6KmnfHvAMe4+U0djJ3Wbt/78In1km+xSOQjNCFh0FLJ6ubsZcTswoCMah8j4+5kxNOsJxiiBgn5AqCgOOccfDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T02:39:39.381769Z","bundle_sha256":"7420b2f375ad72cf26f2d8f9bbb5d194a8f451ded9e06a938dac2c85d9abac46"}}