{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:SK6UUYBYMVAWF3RLT5VF2A3EOV","short_pith_number":"pith:SK6UUYBY","canonical_record":{"source":{"id":"2501.04769","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2025-01-08T19:00:00Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"07c3ba425821fccc6118533a0ffe1a66d819525ebaad4200cb34247d01f2c372","abstract_canon_sha256":"ab7dc37841dbdb1d09fc39355f8c18e3aabcb70e3333fcc4f41b483c5867fdc2"},"schema_version":"1.0"},"canonical_sha256":"92bd4a6038654162ee2b9f6a5d03647542c378a781bddeb423e66c4857d611ec","source":{"kind":"arxiv","id":"2501.04769","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.04769","created_at":"2026-07-05T09:58:46Z"},{"alias_kind":"arxiv_version","alias_value":"2501.04769v1","created_at":"2026-07-05T09:58:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.04769","created_at":"2026-07-05T09:58:46Z"},{"alias_kind":"pith_short_12","alias_value":"SK6UUYBYMVAW","created_at":"2026-07-05T09:58:46Z"},{"alias_kind":"pith_short_16","alias_value":"SK6UUYBYMVAWF3RL","created_at":"2026-07-05T09:58:46Z"},{"alias_kind":"pith_short_8","alias_value":"SK6UUYBY","created_at":"2026-07-05T09:58:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:SK6UUYBYMVAWF3RLT5VF2A3EOV","target":"record","payload":{"canonical_record":{"source":{"id":"2501.04769","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2025-01-08T19:00:00Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"07c3ba425821fccc6118533a0ffe1a66d819525ebaad4200cb34247d01f2c372","abstract_canon_sha256":"ab7dc37841dbdb1d09fc39355f8c18e3aabcb70e3333fcc4f41b483c5867fdc2"},"schema_version":"1.0"},"canonical_sha256":"92bd4a6038654162ee2b9f6a5d03647542c378a781bddeb423e66c4857d611ec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:58:46.055421Z","signature_b64":"BLw6Id8Re5jB8/dqdzmA0E6K4XnL+Te++iMo11r9DgZfp8XUlh6a+Ay0ik19OzhBAO2vmUXFJ4WWfj3qb1IDDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92bd4a6038654162ee2b9f6a5d03647542c378a781bddeb423e66c4857d611ec","last_reissued_at":"2026-07-05T09:58:46.054953Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:58:46.054953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.04769","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":"2026-07-05T09:58:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ruD9PW2MbbWmmRj+uvndN6LRvlZi54Qeh1wvgMyLFaL7vl9drN7zaMqS8NfGQ1fSrgIbdlwJ8dLo6CK7dCEJBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T20:29:45.863359Z"},"content_sha256":"f1ed97281e748b927b196103853d6fb3174d2fd9f93fa4cbae095246768d5c1f","schema_version":"1.0","event_id":"sha256:f1ed97281e748b927b196103853d6fb3174d2fd9f93fa4cbae095246768d5c1f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:SK6UUYBYMVAWF3RLT5VF2A3EOV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase diagram, confining strings, and a new universality class in nematopolar matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Amin Doostmohammadi, Farzan Vafa","submitted_at":"2025-01-08T19:00:00Z","abstract_excerpt":"We study a minimal model of a system with coexisting nematic and polar orientational orders, where one field tends to order and the other prefers isotropy. For strong coupling, the ordered field aligns the isotropic one, locking their orientations. The phase diagram reveals three distinct phases--nematopolar (aligned orders), nematic (independent orders), and isotropic (vanishing orders)--separated by continuous and discontinuous transitions, including a triple and a tricritical point. We find unique critical scaling for the nematopolar-nematic transition, distinct from standard nematic or pol"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.04769","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/2501.04769/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":"2026-07-05T09:58:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HCz+PsUIFcEAP1RCESj7dJc8j8Ik6/pV0da04AhAWyJKP8bXzvAUhuHEHeTpIOBRO3d/iMKgYRiajq3USZpMAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T20:29:45.864310Z"},"content_sha256":"0818dd2da02f1abe64095e8177c83d138e5fd1844b2da9199c03126473a5b55f","schema_version":"1.0","event_id":"sha256:0818dd2da02f1abe64095e8177c83d138e5fd1844b2da9199c03126473a5b55f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SK6UUYBYMVAWF3RLT5VF2A3EOV/bundle.json","state_url":"https://pith.science/pith/SK6UUYBYMVAWF3RLT5VF2A3EOV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SK6UUYBYMVAWF3RLT5VF2A3EOV/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":"2026-08-13T20:29:45Z","links":{"resolver":"https://pith.science/pith/SK6UUYBYMVAWF3RLT5VF2A3EOV","bundle":"https://pith.science/pith/SK6UUYBYMVAWF3RLT5VF2A3EOV/bundle.json","state":"https://pith.science/pith/SK6UUYBYMVAWF3RLT5VF2A3EOV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SK6UUYBYMVAWF3RLT5VF2A3EOV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:SK6UUYBYMVAWF3RLT5VF2A3EOV","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":"ab7dc37841dbdb1d09fc39355f8c18e3aabcb70e3333fcc4f41b483c5867fdc2","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2025-01-08T19:00:00Z","title_canon_sha256":"07c3ba425821fccc6118533a0ffe1a66d819525ebaad4200cb34247d01f2c372"},"schema_version":"1.0","source":{"id":"2501.04769","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.04769","created_at":"2026-07-05T09:58:46Z"},{"alias_kind":"arxiv_version","alias_value":"2501.04769v1","created_at":"2026-07-05T09:58:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.04769","created_at":"2026-07-05T09:58:46Z"},{"alias_kind":"pith_short_12","alias_value":"SK6UUYBYMVAW","created_at":"2026-07-05T09:58:46Z"},{"alias_kind":"pith_short_16","alias_value":"SK6UUYBYMVAWF3RL","created_at":"2026-07-05T09:58:46Z"},{"alias_kind":"pith_short_8","alias_value":"SK6UUYBY","created_at":"2026-07-05T09:58:46Z"}],"graph_snapshots":[{"event_id":"sha256:0818dd2da02f1abe64095e8177c83d138e5fd1844b2da9199c03126473a5b55f","target":"graph","created_at":"2026-07-05T09:58:46Z","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/2501.04769/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a minimal model of a system with coexisting nematic and polar orientational orders, where one field tends to order and the other prefers isotropy. For strong coupling, the ordered field aligns the isotropic one, locking their orientations. The phase diagram reveals three distinct phases--nematopolar (aligned orders), nematic (independent orders), and isotropic (vanishing orders)--separated by continuous and discontinuous transitions, including a triple and a tricritical point. We find unique critical scaling for the nematopolar-nematic transition, distinct from standard nematic or pol","authors_text":"Amin Doostmohammadi, Farzan Vafa","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2025-01-08T19:00:00Z","title":"Phase diagram, confining strings, and a new universality class in nematopolar matter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.04769","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:f1ed97281e748b927b196103853d6fb3174d2fd9f93fa4cbae095246768d5c1f","target":"record","created_at":"2026-07-05T09:58:46Z","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":"ab7dc37841dbdb1d09fc39355f8c18e3aabcb70e3333fcc4f41b483c5867fdc2","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2025-01-08T19:00:00Z","title_canon_sha256":"07c3ba425821fccc6118533a0ffe1a66d819525ebaad4200cb34247d01f2c372"},"schema_version":"1.0","source":{"id":"2501.04769","kind":"arxiv","version":1}},"canonical_sha256":"92bd4a6038654162ee2b9f6a5d03647542c378a781bddeb423e66c4857d611ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92bd4a6038654162ee2b9f6a5d03647542c378a781bddeb423e66c4857d611ec","first_computed_at":"2026-07-05T09:58:46.054953Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:58:46.054953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BLw6Id8Re5jB8/dqdzmA0E6K4XnL+Te++iMo11r9DgZfp8XUlh6a+Ay0ik19OzhBAO2vmUXFJ4WWfj3qb1IDDA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:58:46.055421Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.04769","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1ed97281e748b927b196103853d6fb3174d2fd9f93fa4cbae095246768d5c1f","sha256:0818dd2da02f1abe64095e8177c83d138e5fd1844b2da9199c03126473a5b55f"],"state_sha256":"56e1c9f9b0c75bcaa9ebc7445b80229a1f368a1a6fdf80d86de857ed63d541a5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TrGylUXvsLoYFGxbHLUeA8KmucSqoCR7fBmhMPbiuLMlBQfn2IkGva3AuAR/ufcNW3pR4iOCVClp+LqCDaQVCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T20:29:45.882038Z","bundle_sha256":"9219e95a1e207a13cd03af82c38f634a5d8ca2311f0503c905dd5e4de53d8619"}}