{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:ACBHNO5KAF3FYGTGNO3B4WUB6F","short_pith_number":"pith:ACBHNO5K","canonical_record":{"source":{"id":"2501.14320","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-01-24T08:27:54Z","cross_cats_sorted":[],"title_canon_sha256":"2c62d0f874a86c3fb211c12f18f562ec1837ae764944abe48a4a2ddf48e0581d","abstract_canon_sha256":"392c5854d7de97a83da28e103bb73d3c8949255bf5c18b767ea1dc3411fe5127"},"schema_version":"1.0"},"canonical_sha256":"008276bbaa01765c1a666bb61e5a81f16cafd4cd2befdebe74c8e720b98fd2bf","source":{"kind":"arxiv","id":"2501.14320","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.14320","created_at":"2026-07-05T10:04:48Z"},{"alias_kind":"arxiv_version","alias_value":"2501.14320v1","created_at":"2026-07-05T10:04:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.14320","created_at":"2026-07-05T10:04:48Z"},{"alias_kind":"pith_short_12","alias_value":"ACBHNO5KAF3F","created_at":"2026-07-05T10:04:48Z"},{"alias_kind":"pith_short_16","alias_value":"ACBHNO5KAF3FYGTG","created_at":"2026-07-05T10:04:48Z"},{"alias_kind":"pith_short_8","alias_value":"ACBHNO5K","created_at":"2026-07-05T10:04:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:ACBHNO5KAF3FYGTGNO3B4WUB6F","target":"record","payload":{"canonical_record":{"source":{"id":"2501.14320","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-01-24T08:27:54Z","cross_cats_sorted":[],"title_canon_sha256":"2c62d0f874a86c3fb211c12f18f562ec1837ae764944abe48a4a2ddf48e0581d","abstract_canon_sha256":"392c5854d7de97a83da28e103bb73d3c8949255bf5c18b767ea1dc3411fe5127"},"schema_version":"1.0"},"canonical_sha256":"008276bbaa01765c1a666bb61e5a81f16cafd4cd2befdebe74c8e720b98fd2bf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:04:48.753245Z","signature_b64":"sCSsbr5URubUW7hMNk6WrcTJ92crxivqozJkDc8bzAT6S3E1PhMwFQr76pIXrZJgqKQ7K/AP9PS3sqjlLqm+DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"008276bbaa01765c1a666bb61e5a81f16cafd4cd2befdebe74c8e720b98fd2bf","last_reissued_at":"2026-07-05T10:04:48.752720Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:04:48.752720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.14320","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":"2026-07-05T10:04:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qf++syG1aaRj/1v3rGdJSnjJvQCPS0tBlIT4wpPrJRXl3oQ+ka0sA8BejgASRZxHb7+1SmmhUF+OlBuzxR2gBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T23:51:27.915225Z"},"content_sha256":"4e3e92e031ae110dcfe5e7127c35c112d2a3be5db3815ae044fc15f180e0964a","schema_version":"1.0","event_id":"sha256:4e3e92e031ae110dcfe5e7127c35c112d2a3be5db3815ae044fc15f180e0964a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:ACBHNO5KAF3FYGTGNO3B4WUB6F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Microscopic study of 3D Potts phase transition via Fuzzy Sphere Regularization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Chao Han, Shuai Yang, W. Zhu, Yan Chen, Yan-Guang Yue, Yin Tang","submitted_at":"2025-01-24T08:27:54Z","abstract_excerpt":"The Potts model describes interacting spins with $Q$ different components, which is a direct generalization of the Ising model ($Q=2$). Compared to the existing exact solutions in 2D, the phase transitions and critical phenomena in the 3D Potts model have been less explored. Here, we systematically investigate a quantum $(2+1)$-D Potts model with $Q=3$ using a fuzzy sphere regularization scheme. We first construct a microscopic model capable of achieving a magnetic phase transition that separates a spin $S_3$ permutationally symmetric paramagnet and a spontaneous symmetry-breaking ferromagnet."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.14320","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2501.14320/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":"2026-07-05T10:04:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2WsbMOODJoqi546Oka5HlEpUoXes8I2Ka9PdNR9HxRYzytDJ8jW6DwojalgEG2m6dFfNwynqg9fZFG/dB4bhCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T23:51:27.915753Z"},"content_sha256":"9c9c4122782cea78771702af7487ead7ec25b6dfbcba09d2aaf1af6d5149733b","schema_version":"1.0","event_id":"sha256:9c9c4122782cea78771702af7487ead7ec25b6dfbcba09d2aaf1af6d5149733b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ACBHNO5KAF3FYGTGNO3B4WUB6F/bundle.json","state_url":"https://pith.science/pith/ACBHNO5KAF3FYGTGNO3B4WUB6F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ACBHNO5KAF3FYGTGNO3B4WUB6F/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":"2026-08-07T23:51:27Z","links":{"resolver":"https://pith.science/pith/ACBHNO5KAF3FYGTGNO3B4WUB6F","bundle":"https://pith.science/pith/ACBHNO5KAF3FYGTGNO3B4WUB6F/bundle.json","state":"https://pith.science/pith/ACBHNO5KAF3FYGTGNO3B4WUB6F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ACBHNO5KAF3FYGTGNO3B4WUB6F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ACBHNO5KAF3FYGTGNO3B4WUB6F","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":"392c5854d7de97a83da28e103bb73d3c8949255bf5c18b767ea1dc3411fe5127","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-01-24T08:27:54Z","title_canon_sha256":"2c62d0f874a86c3fb211c12f18f562ec1837ae764944abe48a4a2ddf48e0581d"},"schema_version":"1.0","source":{"id":"2501.14320","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.14320","created_at":"2026-07-05T10:04:48Z"},{"alias_kind":"arxiv_version","alias_value":"2501.14320v1","created_at":"2026-07-05T10:04:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.14320","created_at":"2026-07-05T10:04:48Z"},{"alias_kind":"pith_short_12","alias_value":"ACBHNO5KAF3F","created_at":"2026-07-05T10:04:48Z"},{"alias_kind":"pith_short_16","alias_value":"ACBHNO5KAF3FYGTG","created_at":"2026-07-05T10:04:48Z"},{"alias_kind":"pith_short_8","alias_value":"ACBHNO5K","created_at":"2026-07-05T10:04:48Z"}],"graph_snapshots":[{"event_id":"sha256:9c9c4122782cea78771702af7487ead7ec25b6dfbcba09d2aaf1af6d5149733b","target":"graph","created_at":"2026-07-05T10:04:48Z","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/2501.14320/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Potts model describes interacting spins with $Q$ different components, which is a direct generalization of the Ising model ($Q=2$). Compared to the existing exact solutions in 2D, the phase transitions and critical phenomena in the 3D Potts model have been less explored. Here, we systematically investigate a quantum $(2+1)$-D Potts model with $Q=3$ using a fuzzy sphere regularization scheme. We first construct a microscopic model capable of achieving a magnetic phase transition that separates a spin $S_3$ permutationally symmetric paramagnet and a spontaneous symmetry-breaking ferromagnet.","authors_text":"Chao Han, Shuai Yang, W. Zhu, Yan Chen, Yan-Guang Yue, Yin Tang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-01-24T08:27:54Z","title":"Microscopic study of 3D Potts phase transition via Fuzzy Sphere Regularization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.14320","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":"sha256:4e3e92e031ae110dcfe5e7127c35c112d2a3be5db3815ae044fc15f180e0964a","target":"record","created_at":"2026-07-05T10:04:48Z","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":"392c5854d7de97a83da28e103bb73d3c8949255bf5c18b767ea1dc3411fe5127","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-01-24T08:27:54Z","title_canon_sha256":"2c62d0f874a86c3fb211c12f18f562ec1837ae764944abe48a4a2ddf48e0581d"},"schema_version":"1.0","source":{"id":"2501.14320","kind":"arxiv","version":1}},"canonical_sha256":"008276bbaa01765c1a666bb61e5a81f16cafd4cd2befdebe74c8e720b98fd2bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"008276bbaa01765c1a666bb61e5a81f16cafd4cd2befdebe74c8e720b98fd2bf","first_computed_at":"2026-07-05T10:04:48.752720Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:04:48.752720Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sCSsbr5URubUW7hMNk6WrcTJ92crxivqozJkDc8bzAT6S3E1PhMwFQr76pIXrZJgqKQ7K/AP9PS3sqjlLqm+DA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:04:48.753245Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.14320","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e3e92e031ae110dcfe5e7127c35c112d2a3be5db3815ae044fc15f180e0964a","sha256:9c9c4122782cea78771702af7487ead7ec25b6dfbcba09d2aaf1af6d5149733b"],"state_sha256":"1868d6a1c30e28b5502adb97e19b41a2437fc98a9db4ce0efff535e85255091c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CDalDsQv7oT+MsJpEaEDohuY/fSFKl9qCvaC7uRq7+4/QmkStaqtSRmcTZe1pwb5wAbchFhl38YC2E6S5+0mBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T23:51:27.919795Z","bundle_sha256":"637ff6df9257ad2002f11aaee46a27ac4b2fb54aaa50b572b98d8d843e02f623"}}