{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:DB4XLDANHIYNMRAM4U7YSZ5ZYQ","short_pith_number":"pith:DB4XLDAN","canonical_record":{"source":{"id":"1109.1377","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-09-07T07:54:02Z","cross_cats_sorted":[],"title_canon_sha256":"2158880f4bfe2f7f052f2c6aabcde8fa6ce98622851df1bf19ed4a0733b33e76","abstract_canon_sha256":"cdb3d03b90ec7939f9d226c2e3281544a5658e8f5a867b0af4c2158d8615a854"},"schema_version":"1.0"},"canonical_sha256":"1879758c0d3a30d6440ce53f8967b9c43b3816926043915dc766d2ff42484caf","source":{"kind":"arxiv","id":"1109.1377","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.1377","created_at":"2026-05-18T02:00:38Z"},{"alias_kind":"arxiv_version","alias_value":"1109.1377v1","created_at":"2026-05-18T02:00:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.1377","created_at":"2026-05-18T02:00:38Z"},{"alias_kind":"pith_short_12","alias_value":"DB4XLDANHIYN","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"DB4XLDANHIYNMRAM","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"DB4XLDAN","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:DB4XLDANHIYNMRAM4U7YSZ5ZYQ","target":"record","payload":{"canonical_record":{"source":{"id":"1109.1377","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-09-07T07:54:02Z","cross_cats_sorted":[],"title_canon_sha256":"2158880f4bfe2f7f052f2c6aabcde8fa6ce98622851df1bf19ed4a0733b33e76","abstract_canon_sha256":"cdb3d03b90ec7939f9d226c2e3281544a5658e8f5a867b0af4c2158d8615a854"},"schema_version":"1.0"},"canonical_sha256":"1879758c0d3a30d6440ce53f8967b9c43b3816926043915dc766d2ff42484caf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:38.579019Z","signature_b64":"dtRncSdRBBhy58sFqfIXB1S9crZYGgB0kgTRz6qL9ZAFrLE27Eite5nZmxNKNUivOXKKk2V01fh6yHvHv0FhBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1879758c0d3a30d6440ce53f8967b9c43b3816926043915dc766d2ff42484caf","last_reissued_at":"2026-05-18T02:00:38.578472Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:38.578472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.1377","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":"2026-05-18T02:00:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8Bs49ROIPIwhlHDsmSh6UPKgD/aYMIDa6yMwDfH8/D49JpBEwo5yBs01VA/H/yDL17RNFnD4EHVzG0emn49iCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T10:37:05.852978Z"},"content_sha256":"d5b813fd2260947cf96869a8f5ce2db7cb380644eee97ecee50b2e11201a1cb7","schema_version":"1.0","event_id":"sha256:d5b813fd2260947cf96869a8f5ce2db7cb380644eee97ecee50b2e11201a1cb7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:DB4XLDANHIYNMRAM4U7YSZ5ZYQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Domain Wall Renormalization Group Analysis of 2-dimensional Ising Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Hiroshi Tomita, Ken-Ichi Aoki, Tamao Kobayashi","submitted_at":"2011-09-07T07:54:02Z","abstract_excerpt":"Using a recently proposed new renormalization group method (tensor renormalization group), we analyze the Ising model on the 2-dimensional square lattice. For the lowest order approximation with two domain wall states, it realizes the idea of coarse graining of domain walls. We write down explicit analytic renormalization transformation and prove that the picture of the coarse graining of the physical domain walls does hold for all physical renormalization group flows. We solve it to get the fixed point structure and obtain the critical exponents and the critical temperature. These results are"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.1377","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":"2026-05-18T02:00:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hMih5NnH+VjD2bPnKzsxrVMJ/xl2wV4Q19BGr9jGRNrAfhNvNrbF+UoT0emr2zUVwhMwfTitt908dssAN5NEDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T10:37:05.853328Z"},"content_sha256":"ee1f0a26dbea58a45ca9ff51f8c95770fcac3aad8c147d2f48192234bf78ec5e","schema_version":"1.0","event_id":"sha256:ee1f0a26dbea58a45ca9ff51f8c95770fcac3aad8c147d2f48192234bf78ec5e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DB4XLDANHIYNMRAM4U7YSZ5ZYQ/bundle.json","state_url":"https://pith.science/pith/DB4XLDANHIYNMRAM4U7YSZ5ZYQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DB4XLDANHIYNMRAM4U7YSZ5ZYQ/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":"2026-06-28T10:37:05Z","links":{"resolver":"https://pith.science/pith/DB4XLDANHIYNMRAM4U7YSZ5ZYQ","bundle":"https://pith.science/pith/DB4XLDANHIYNMRAM4U7YSZ5ZYQ/bundle.json","state":"https://pith.science/pith/DB4XLDANHIYNMRAM4U7YSZ5ZYQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DB4XLDANHIYNMRAM4U7YSZ5ZYQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:DB4XLDANHIYNMRAM4U7YSZ5ZYQ","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":"cdb3d03b90ec7939f9d226c2e3281544a5658e8f5a867b0af4c2158d8615a854","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-09-07T07:54:02Z","title_canon_sha256":"2158880f4bfe2f7f052f2c6aabcde8fa6ce98622851df1bf19ed4a0733b33e76"},"schema_version":"1.0","source":{"id":"1109.1377","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.1377","created_at":"2026-05-18T02:00:38Z"},{"alias_kind":"arxiv_version","alias_value":"1109.1377v1","created_at":"2026-05-18T02:00:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.1377","created_at":"2026-05-18T02:00:38Z"},{"alias_kind":"pith_short_12","alias_value":"DB4XLDANHIYN","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"DB4XLDANHIYNMRAM","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"DB4XLDAN","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:ee1f0a26dbea58a45ca9ff51f8c95770fcac3aad8c147d2f48192234bf78ec5e","target":"graph","created_at":"2026-05-18T02:00:38Z","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":"Using a recently proposed new renormalization group method (tensor renormalization group), we analyze the Ising model on the 2-dimensional square lattice. For the lowest order approximation with two domain wall states, it realizes the idea of coarse graining of domain walls. We write down explicit analytic renormalization transformation and prove that the picture of the coarse graining of the physical domain walls does hold for all physical renormalization group flows. We solve it to get the fixed point structure and obtain the critical exponents and the critical temperature. These results are","authors_text":"Hiroshi Tomita, Ken-Ichi Aoki, Tamao Kobayashi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-09-07T07:54:02Z","title":"Domain Wall Renormalization Group Analysis of 2-dimensional Ising Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.1377","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:d5b813fd2260947cf96869a8f5ce2db7cb380644eee97ecee50b2e11201a1cb7","target":"record","created_at":"2026-05-18T02:00:38Z","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":"cdb3d03b90ec7939f9d226c2e3281544a5658e8f5a867b0af4c2158d8615a854","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-09-07T07:54:02Z","title_canon_sha256":"2158880f4bfe2f7f052f2c6aabcde8fa6ce98622851df1bf19ed4a0733b33e76"},"schema_version":"1.0","source":{"id":"1109.1377","kind":"arxiv","version":1}},"canonical_sha256":"1879758c0d3a30d6440ce53f8967b9c43b3816926043915dc766d2ff42484caf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1879758c0d3a30d6440ce53f8967b9c43b3816926043915dc766d2ff42484caf","first_computed_at":"2026-05-18T02:00:38.578472Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:38.578472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dtRncSdRBBhy58sFqfIXB1S9crZYGgB0kgTRz6qL9ZAFrLE27Eite5nZmxNKNUivOXKKk2V01fh6yHvHv0FhBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:38.579019Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.1377","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5b813fd2260947cf96869a8f5ce2db7cb380644eee97ecee50b2e11201a1cb7","sha256:ee1f0a26dbea58a45ca9ff51f8c95770fcac3aad8c147d2f48192234bf78ec5e"],"state_sha256":"c95f1a7b14c0404ae737750e7916cdf42428d590b93c7b153dc718c2257771a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mkXdCL4DahXxJ9nU94B5w3d+KRrpohyZalAdApatVzHrd8VTpqUYGEKAU8Y22wv9E4YCRZ3+4kNa8050HwMvAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T10:37:05.855185Z","bundle_sha256":"8fa43cd816765b1cc7bf6e861caf4695c52ce5ef45313b9a6adccee5fa0f162a"}}