{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:IBESDJHVPZYK7KZ6CBMSM5ELIS","short_pith_number":"pith:IBESDJHV","canonical_record":{"source":{"id":"cond-mat/0606329","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-06-13T13:46:40Z","cross_cats_sorted":[],"title_canon_sha256":"daacf3d85431d0a6d40b2406cd44168b14ad2becb5e0144438020cf14f096de7","abstract_canon_sha256":"fb26bf22c712a82aea779abcd35a03f66e4edcb8e4bf580f05ac45ec2f7a3632"},"schema_version":"1.0"},"canonical_sha256":"404921a4f57e70afab3e105926748b44b41aa046197c0df6e17d977c2705e39f","source":{"kind":"arxiv","id":"cond-mat/0606329","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0606329","created_at":"2026-07-04T17:00:41Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0606329v1","created_at":"2026-07-04T17:00:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0606329","created_at":"2026-07-04T17:00:41Z"},{"alias_kind":"pith_short_12","alias_value":"IBESDJHVPZYK","created_at":"2026-07-04T17:00:41Z"},{"alias_kind":"pith_short_16","alias_value":"IBESDJHVPZYK7KZ6","created_at":"2026-07-04T17:00:41Z"},{"alias_kind":"pith_short_8","alias_value":"IBESDJHV","created_at":"2026-07-04T17:00:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:IBESDJHVPZYK7KZ6CBMSM5ELIS","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0606329","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-06-13T13:46:40Z","cross_cats_sorted":[],"title_canon_sha256":"daacf3d85431d0a6d40b2406cd44168b14ad2becb5e0144438020cf14f096de7","abstract_canon_sha256":"fb26bf22c712a82aea779abcd35a03f66e4edcb8e4bf580f05ac45ec2f7a3632"},"schema_version":"1.0"},"canonical_sha256":"404921a4f57e70afab3e105926748b44b41aa046197c0df6e17d977c2705e39f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:00:41.322079Z","signature_b64":"l88WCCOxj0mkUzRnXXc8UQyYdbzm9pArRcsO52LbIvCJ6G3bASR+7YxrLiq0YJHnaz9UfZYNleRPTB7/g10PAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"404921a4f57e70afab3e105926748b44b41aa046197c0df6e17d977c2705e39f","last_reissued_at":"2026-07-04T17:00:41.321723Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:00:41.321723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0606329","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":"2026-07-04T17:00:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jEy7B6snWVGxGqSGJLZpbJPoKhOa/rWnlDjmKooMi/SVUDHSuOoQveugucNOpSHvF2LdmlUrJr60SY/OR5OEAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T11:29:54.174055Z"},"content_sha256":"f85eff3a147672e5c624f853f898bd7ed5ff13b458b2e46d9d25035345efd263","schema_version":"1.0","event_id":"sha256:f85eff3a147672e5c624f853f898bd7ed5ff13b458b2e46d9d25035345efd263"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:IBESDJHVPZYK7KZ6CBMSM5ELIS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Numerical entropy and phason elastic constants of plane random tilings with any 2D-fold symmetry","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Nicolas Destainville","submitted_at":"2006-06-13T13:46:40Z","abstract_excerpt":"We perform Transition matrix Monte Carlo simulations to evaluate the entropy of rhombus tilings with fixed polygonal boundaries and 2D-fold rotational symmetry. We estimate the large-size limit of this entropy for D=4 to 10. We confirm analytic predictions of N. Destainville et al., J. Stat. Phys. 120, 799 (2005) and M. Widom et al., J. Stat. Phys. 120, 837 (2005), in particular that the large size and large D limits commute, and that entropy becomes insensible to size, phason strain and boundary conditions at large D. We are able to infer finite D and finite size scalings of entropy. We also "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0606329","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/cond-mat/0606329/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":"2026-07-04T17:00:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UhCZNprgyKC+ZTKpRVYNWVrS2vtDpew+RkKyu0MP2U1nW6ZRdnW7eL9mBfAApdhfzvmj+x9gE/9B3erkC4wBAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T11:29:54.174448Z"},"content_sha256":"cb13bd1de4b55a6d6e58383d660c97b5d04f7a2d851d1252a802154d71d44f0f","schema_version":"1.0","event_id":"sha256:cb13bd1de4b55a6d6e58383d660c97b5d04f7a2d851d1252a802154d71d44f0f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IBESDJHVPZYK7KZ6CBMSM5ELIS/bundle.json","state_url":"https://pith.science/pith/IBESDJHVPZYK7KZ6CBMSM5ELIS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IBESDJHVPZYK7KZ6CBMSM5ELIS/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":"2026-07-06T11:29:54Z","links":{"resolver":"https://pith.science/pith/IBESDJHVPZYK7KZ6CBMSM5ELIS","bundle":"https://pith.science/pith/IBESDJHVPZYK7KZ6CBMSM5ELIS/bundle.json","state":"https://pith.science/pith/IBESDJHVPZYK7KZ6CBMSM5ELIS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IBESDJHVPZYK7KZ6CBMSM5ELIS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:IBESDJHVPZYK7KZ6CBMSM5ELIS","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":"fb26bf22c712a82aea779abcd35a03f66e4edcb8e4bf580f05ac45ec2f7a3632","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-06-13T13:46:40Z","title_canon_sha256":"daacf3d85431d0a6d40b2406cd44168b14ad2becb5e0144438020cf14f096de7"},"schema_version":"1.0","source":{"id":"cond-mat/0606329","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0606329","created_at":"2026-07-04T17:00:41Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0606329v1","created_at":"2026-07-04T17:00:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0606329","created_at":"2026-07-04T17:00:41Z"},{"alias_kind":"pith_short_12","alias_value":"IBESDJHVPZYK","created_at":"2026-07-04T17:00:41Z"},{"alias_kind":"pith_short_16","alias_value":"IBESDJHVPZYK7KZ6","created_at":"2026-07-04T17:00:41Z"},{"alias_kind":"pith_short_8","alias_value":"IBESDJHV","created_at":"2026-07-04T17:00:41Z"}],"graph_snapshots":[{"event_id":"sha256:cb13bd1de4b55a6d6e58383d660c97b5d04f7a2d851d1252a802154d71d44f0f","target":"graph","created_at":"2026-07-04T17:00:41Z","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/cond-mat/0606329/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We perform Transition matrix Monte Carlo simulations to evaluate the entropy of rhombus tilings with fixed polygonal boundaries and 2D-fold rotational symmetry. We estimate the large-size limit of this entropy for D=4 to 10. We confirm analytic predictions of N. Destainville et al., J. Stat. Phys. 120, 799 (2005) and M. Widom et al., J. Stat. Phys. 120, 837 (2005), in particular that the large size and large D limits commute, and that entropy becomes insensible to size, phason strain and boundary conditions at large D. We are able to infer finite D and finite size scalings of entropy. We also ","authors_text":"Nicolas Destainville","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-06-13T13:46:40Z","title":"Numerical entropy and phason elastic constants of plane random tilings with any 2D-fold symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0606329","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:f85eff3a147672e5c624f853f898bd7ed5ff13b458b2e46d9d25035345efd263","target":"record","created_at":"2026-07-04T17:00:41Z","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":"fb26bf22c712a82aea779abcd35a03f66e4edcb8e4bf580f05ac45ec2f7a3632","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-06-13T13:46:40Z","title_canon_sha256":"daacf3d85431d0a6d40b2406cd44168b14ad2becb5e0144438020cf14f096de7"},"schema_version":"1.0","source":{"id":"cond-mat/0606329","kind":"arxiv","version":1}},"canonical_sha256":"404921a4f57e70afab3e105926748b44b41aa046197c0df6e17d977c2705e39f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"404921a4f57e70afab3e105926748b44b41aa046197c0df6e17d977c2705e39f","first_computed_at":"2026-07-04T17:00:41.321723Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:00:41.321723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l88WCCOxj0mkUzRnXXc8UQyYdbzm9pArRcsO52LbIvCJ6G3bASR+7YxrLiq0YJHnaz9UfZYNleRPTB7/g10PAg==","signature_status":"signed_v1","signed_at":"2026-07-04T17:00:41.322079Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0606329","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f85eff3a147672e5c624f853f898bd7ed5ff13b458b2e46d9d25035345efd263","sha256:cb13bd1de4b55a6d6e58383d660c97b5d04f7a2d851d1252a802154d71d44f0f"],"state_sha256":"fe83386ee50a6c19ad2ae53ee36ac48deddf58946157874bf394ec65716a7cf7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PNDesDtBH4dq6ElXq+n8MTV4yJjUWI1x6xSFk3XWEENeY9qooVIH7N2zSxzjhJNz0JP81gxel3z4vthS/1xoBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T11:29:54.176442Z","bundle_sha256":"6a2220009e250090f782f16dd1911c1144dd518eba54b82b5bb90f8113af3d41"}}