{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:4CY2D65MK6ESMGWM5JSURDU62N","short_pith_number":"pith:4CY2D65M","canonical_record":{"source":{"id":"2412.02995","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-12-04T03:21:36Z","cross_cats_sorted":[],"title_canon_sha256":"b967e1f208e99e1c64ffd5f177a516b71c65bae3061f349f4006d8ab0161ff01","abstract_canon_sha256":"c1d9eddd16e8f4f488867a906f9e1472868cb9bf79ad95a38d4ab87aaad27ddf"},"schema_version":"1.0"},"canonical_sha256":"e0b1a1fbac5789261accea65488e9ed35d59987884b30338eb39ecf366659732","source":{"kind":"arxiv","id":"2412.02995","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.02995","created_at":"2026-07-05T09:44:23Z"},{"alias_kind":"arxiv_version","alias_value":"2412.02995v1","created_at":"2026-07-05T09:44:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.02995","created_at":"2026-07-05T09:44:23Z"},{"alias_kind":"pith_short_12","alias_value":"4CY2D65MK6ES","created_at":"2026-07-05T09:44:23Z"},{"alias_kind":"pith_short_16","alias_value":"4CY2D65MK6ESMGWM","created_at":"2026-07-05T09:44:23Z"},{"alias_kind":"pith_short_8","alias_value":"4CY2D65M","created_at":"2026-07-05T09:44:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:4CY2D65MK6ESMGWM5JSURDU62N","target":"record","payload":{"canonical_record":{"source":{"id":"2412.02995","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-12-04T03:21:36Z","cross_cats_sorted":[],"title_canon_sha256":"b967e1f208e99e1c64ffd5f177a516b71c65bae3061f349f4006d8ab0161ff01","abstract_canon_sha256":"c1d9eddd16e8f4f488867a906f9e1472868cb9bf79ad95a38d4ab87aaad27ddf"},"schema_version":"1.0"},"canonical_sha256":"e0b1a1fbac5789261accea65488e9ed35d59987884b30338eb39ecf366659732","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:44:23.247086Z","signature_b64":"9YP8CZ8hV3aQ2ghbxQPL/8toUZwfg+Le+slualrBqhTyAgXLP1sFT8WvdIyn3884Yo1ubk4WL+zcKsOo9FJbDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e0b1a1fbac5789261accea65488e9ed35d59987884b30338eb39ecf366659732","last_reissued_at":"2026-07-05T09:44:23.246607Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:44:23.246607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.02995","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":"2026-07-05T09:44:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QLBPiy4o29L8dZy7OW7cLcwhmYbc99QFJ2jk4l7CEhh7m8KeRMF8MU5UQVAST2vOhhHPwrkLP5rE5yauDVcEAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T12:55:38.536006Z"},"content_sha256":"0b75028a95ae17190e9464dd4b8f4a729f5ef65741230aa7c153b0dab9420c34","schema_version":"1.0","event_id":"sha256:0b75028a95ae17190e9464dd4b8f4a729f5ef65741230aa7c153b0dab9420c34"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:4CY2D65MK6ESMGWM5JSURDU62N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tensor renormalization group study of (1+1)-dimensional O(3) nonlinear sigma model with and without finite chemical potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Xiao Luo, Yoshinobu Kuramashi","submitted_at":"2024-12-04T03:21:36Z","abstract_excerpt":"We study (1+1)-dimensional O(3) nonlinear sigma model using the tensor renormalization group method with the infinite limit of the bond dimension $D_{\\rm cut}\\rightarrow \\infty$. At the vanishing chemical potential $\\mu=0$, we investigate the von Neumann and R\\'enyi types of entanglement entropies. The central charge is determined to be $c=1.97(9)$ by using the asymptotic scaling properties of the entropies. We also examine the consistency between two entropies. In the finite density region with $\\mu\\ne 0$, where this model suffers from the sign problem in the standard Monte Carlo approach, we"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.02995","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/2412.02995/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":"2026-07-05T09:44:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FZ8gZywiFhg1kJxwjL4BJVxQwYuLnHrOeIUm7SGrkA7CAb1vhwj1h7MkZgKhNC3TM34ZH/hMNE+LlJqSRvgPCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T12:55:38.536533Z"},"content_sha256":"d37e09d27dd65f1ee17fd35809f56803758c5525a0b7912deb30c94ad8f0c139","schema_version":"1.0","event_id":"sha256:d37e09d27dd65f1ee17fd35809f56803758c5525a0b7912deb30c94ad8f0c139"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4CY2D65MK6ESMGWM5JSURDU62N/bundle.json","state_url":"https://pith.science/pith/4CY2D65MK6ESMGWM5JSURDU62N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4CY2D65MK6ESMGWM5JSURDU62N/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":"2026-08-12T12:55:38Z","links":{"resolver":"https://pith.science/pith/4CY2D65MK6ESMGWM5JSURDU62N","bundle":"https://pith.science/pith/4CY2D65MK6ESMGWM5JSURDU62N/bundle.json","state":"https://pith.science/pith/4CY2D65MK6ESMGWM5JSURDU62N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4CY2D65MK6ESMGWM5JSURDU62N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:4CY2D65MK6ESMGWM5JSURDU62N","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":"c1d9eddd16e8f4f488867a906f9e1472868cb9bf79ad95a38d4ab87aaad27ddf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-12-04T03:21:36Z","title_canon_sha256":"b967e1f208e99e1c64ffd5f177a516b71c65bae3061f349f4006d8ab0161ff01"},"schema_version":"1.0","source":{"id":"2412.02995","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.02995","created_at":"2026-07-05T09:44:23Z"},{"alias_kind":"arxiv_version","alias_value":"2412.02995v1","created_at":"2026-07-05T09:44:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.02995","created_at":"2026-07-05T09:44:23Z"},{"alias_kind":"pith_short_12","alias_value":"4CY2D65MK6ES","created_at":"2026-07-05T09:44:23Z"},{"alias_kind":"pith_short_16","alias_value":"4CY2D65MK6ESMGWM","created_at":"2026-07-05T09:44:23Z"},{"alias_kind":"pith_short_8","alias_value":"4CY2D65M","created_at":"2026-07-05T09:44:23Z"}],"graph_snapshots":[{"event_id":"sha256:d37e09d27dd65f1ee17fd35809f56803758c5525a0b7912deb30c94ad8f0c139","target":"graph","created_at":"2026-07-05T09:44:23Z","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/2412.02995/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study (1+1)-dimensional O(3) nonlinear sigma model using the tensor renormalization group method with the infinite limit of the bond dimension $D_{\\rm cut}\\rightarrow \\infty$. At the vanishing chemical potential $\\mu=0$, we investigate the von Neumann and R\\'enyi types of entanglement entropies. The central charge is determined to be $c=1.97(9)$ by using the asymptotic scaling properties of the entropies. We also examine the consistency between two entropies. In the finite density region with $\\mu\\ne 0$, where this model suffers from the sign problem in the standard Monte Carlo approach, we","authors_text":"Xiao Luo, Yoshinobu Kuramashi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-12-04T03:21:36Z","title":"Tensor renormalization group study of (1+1)-dimensional O(3) nonlinear sigma model with and without finite chemical potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.02995","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":"sha256:0b75028a95ae17190e9464dd4b8f4a729f5ef65741230aa7c153b0dab9420c34","target":"record","created_at":"2026-07-05T09:44:23Z","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":"c1d9eddd16e8f4f488867a906f9e1472868cb9bf79ad95a38d4ab87aaad27ddf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-12-04T03:21:36Z","title_canon_sha256":"b967e1f208e99e1c64ffd5f177a516b71c65bae3061f349f4006d8ab0161ff01"},"schema_version":"1.0","source":{"id":"2412.02995","kind":"arxiv","version":1}},"canonical_sha256":"e0b1a1fbac5789261accea65488e9ed35d59987884b30338eb39ecf366659732","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e0b1a1fbac5789261accea65488e9ed35d59987884b30338eb39ecf366659732","first_computed_at":"2026-07-05T09:44:23.246607Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:44:23.246607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9YP8CZ8hV3aQ2ghbxQPL/8toUZwfg+Le+slualrBqhTyAgXLP1sFT8WvdIyn3884Yo1ubk4WL+zcKsOo9FJbDg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:44:23.247086Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.02995","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b75028a95ae17190e9464dd4b8f4a729f5ef65741230aa7c153b0dab9420c34","sha256:d37e09d27dd65f1ee17fd35809f56803758c5525a0b7912deb30c94ad8f0c139"],"state_sha256":"8bbb75b63459a1900ef7fb01d0280cb69e71973cf6d253f5bfb267381aff1ba6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b+RnxZy6sU3QriFL9VM46ilkZJH8w8PAwTErWOaVm0VGnrCYxsTnMReEjoKt+EbeFKZW3lYltJy5f+aAEfYvDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T12:55:38.542007Z","bundle_sha256":"3785dbd8bcd38dea8ea0e839b4c70867d7a88bcc1d7fc70798e128c700336497"}}