{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:VCEHGK3BODECKN3UXLUNP3Y72R","short_pith_number":"pith:VCEHGK3B","canonical_record":{"source":{"id":"hep-lat/0110069","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"2001-10-12T17:52:14Z","cross_cats_sorted":[],"title_canon_sha256":"97f1741a489d5d9b83d933e90c7795815d2d36b3beec8d7d16ed54b24cc8e3f4","abstract_canon_sha256":"82dcb536b07c785dd1fbab37ab88db06f49f52d9ae7977a58c7a54dba0387d9e"},"schema_version":"1.0"},"canonical_sha256":"a888732b6170c8253774bae8d7ef1fd476c6b9c9102865b21d0ce9eb70d5d592","source":{"kind":"arxiv","id":"hep-lat/0110069","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/0110069","created_at":"2026-05-18T01:39:14Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/0110069v1","created_at":"2026-05-18T01:39:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/0110069","created_at":"2026-05-18T01:39:14Z"},{"alias_kind":"pith_short_12","alias_value":"VCEHGK3BODEC","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"VCEHGK3BODECKN3U","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"VCEHGK3B","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:VCEHGK3BODECKN3UXLUNP3Y72R","target":"record","payload":{"canonical_record":{"source":{"id":"hep-lat/0110069","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"2001-10-12T17:52:14Z","cross_cats_sorted":[],"title_canon_sha256":"97f1741a489d5d9b83d933e90c7795815d2d36b3beec8d7d16ed54b24cc8e3f4","abstract_canon_sha256":"82dcb536b07c785dd1fbab37ab88db06f49f52d9ae7977a58c7a54dba0387d9e"},"schema_version":"1.0"},"canonical_sha256":"a888732b6170c8253774bae8d7ef1fd476c6b9c9102865b21d0ce9eb70d5d592","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:14.972301Z","signature_b64":"as6YEXz/RBK5a4Hu1bJUenee2hzw9A6OsfyU2qSXAlV3aARTDGs0xHWj0HRDEReTBb3dh98qbchgpl9c5yeTDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a888732b6170c8253774bae8d7ef1fd476c6b9c9102865b21d0ce9eb70d5d592","last_reissued_at":"2026-05-18T01:39:14.971777Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:14.971777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-lat/0110069","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":"2026-05-18T01:39:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vPSH7NPh0MN2b19Luh0sOSAqkv7hPSYgkON/Y/y3du2QyN1ajQ2C8v/C+v5IRjPg5CnJ7eN3+cMIKc120df/CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T16:54:22.566190Z"},"content_sha256":"5570ffdacb4655d62dfcb35c52bac48c079cacd4e03590a379cc49a631d14a15","schema_version":"1.0","event_id":"sha256:5570ffdacb4655d62dfcb35c52bac48c079cacd4e03590a379cc49a631d14a15"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:VCEHGK3BODECKN3UXLUNP3Y72R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spin models on Platonic solids and asymptotic freedom","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Andrea Montanari, Andrea Pelissetto, Sergio Caracciolo","submitted_at":"2001-10-12T17:52:14Z","abstract_excerpt":"We consider a two-dimensional sigma-model with discrete icosahedral/dodecahedral symmetry. We present high-precision finite-size numerical results that show that the continuum limit of this model is different from the continuum limit of the rotationally invariant O(3) sigma-model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/0110069","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":"2026-05-18T01:39:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FCZWqsN5/8jlz2AXY9A8muBSCJ7phO2ZZ7srQrzcY0KwS7so32E7/B3plIID2wThkz2O6unci+ZZVtVHqYdEDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T16:54:22.566575Z"},"content_sha256":"0a218912599b119297a67384b25bc1c4275571b0669d34afb9bb33a563797d79","schema_version":"1.0","event_id":"sha256:0a218912599b119297a67384b25bc1c4275571b0669d34afb9bb33a563797d79"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VCEHGK3BODECKN3UXLUNP3Y72R/bundle.json","state_url":"https://pith.science/pith/VCEHGK3BODECKN3UXLUNP3Y72R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VCEHGK3BODECKN3UXLUNP3Y72R/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":"2026-05-27T16:54:22Z","links":{"resolver":"https://pith.science/pith/VCEHGK3BODECKN3UXLUNP3Y72R","bundle":"https://pith.science/pith/VCEHGK3BODECKN3UXLUNP3Y72R/bundle.json","state":"https://pith.science/pith/VCEHGK3BODECKN3UXLUNP3Y72R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VCEHGK3BODECKN3UXLUNP3Y72R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:VCEHGK3BODECKN3UXLUNP3Y72R","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":"82dcb536b07c785dd1fbab37ab88db06f49f52d9ae7977a58c7a54dba0387d9e","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"2001-10-12T17:52:14Z","title_canon_sha256":"97f1741a489d5d9b83d933e90c7795815d2d36b3beec8d7d16ed54b24cc8e3f4"},"schema_version":"1.0","source":{"id":"hep-lat/0110069","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/0110069","created_at":"2026-05-18T01:39:14Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/0110069v1","created_at":"2026-05-18T01:39:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/0110069","created_at":"2026-05-18T01:39:14Z"},{"alias_kind":"pith_short_12","alias_value":"VCEHGK3BODEC","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"VCEHGK3BODECKN3U","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"VCEHGK3B","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:0a218912599b119297a67384b25bc1c4275571b0669d34afb9bb33a563797d79","target":"graph","created_at":"2026-05-18T01:39:14Z","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 consider a two-dimensional sigma-model with discrete icosahedral/dodecahedral symmetry. We present high-precision finite-size numerical results that show that the continuum limit of this model is different from the continuum limit of the rotationally invariant O(3) sigma-model.","authors_text":"Andrea Montanari, Andrea Pelissetto, Sergio Caracciolo","cross_cats":[],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"2001-10-12T17:52:14Z","title":"Spin models on Platonic solids and asymptotic freedom"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/0110069","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":"sha256:5570ffdacb4655d62dfcb35c52bac48c079cacd4e03590a379cc49a631d14a15","target":"record","created_at":"2026-05-18T01:39:14Z","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":"82dcb536b07c785dd1fbab37ab88db06f49f52d9ae7977a58c7a54dba0387d9e","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"2001-10-12T17:52:14Z","title_canon_sha256":"97f1741a489d5d9b83d933e90c7795815d2d36b3beec8d7d16ed54b24cc8e3f4"},"schema_version":"1.0","source":{"id":"hep-lat/0110069","kind":"arxiv","version":1}},"canonical_sha256":"a888732b6170c8253774bae8d7ef1fd476c6b9c9102865b21d0ce9eb70d5d592","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a888732b6170c8253774bae8d7ef1fd476c6b9c9102865b21d0ce9eb70d5d592","first_computed_at":"2026-05-18T01:39:14.971777Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:14.971777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"as6YEXz/RBK5a4Hu1bJUenee2hzw9A6OsfyU2qSXAlV3aARTDGs0xHWj0HRDEReTBb3dh98qbchgpl9c5yeTDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:14.972301Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/0110069","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5570ffdacb4655d62dfcb35c52bac48c079cacd4e03590a379cc49a631d14a15","sha256:0a218912599b119297a67384b25bc1c4275571b0669d34afb9bb33a563797d79"],"state_sha256":"8f2005782e5ce7f34b7cd5e6e195cd00c2db7f1fc8c8194ecad167a8c270ca51"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B87+nYopJfiq+kICQL3fPb7G9SP7VB6oKzfV2oEgxJmpUHH4nQvfHwnP4PFnPLutmEunU32ucc3s7R36hltbCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T16:54:22.569040Z","bundle_sha256":"ff7d35996b150c01a6ac754405b4aeb13cbb839dfa7e82b86d73a563645b0eb4"}}