{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:TNVGYGZGPN46W2EZ6Z4ZZXLA22","short_pith_number":"pith:TNVGYGZG","canonical_record":{"source":{"id":"1401.7910","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-01-30T16:27:46Z","cross_cats_sorted":[],"title_canon_sha256":"c792d839ea77232376a2358997af22ee1e57803affc309d5fd9ade2f46a7b275","abstract_canon_sha256":"254a6562cf2d78f587f38e57dcf31d8757982959b53c5f67ce5f435db5f536d7"},"schema_version":"1.0"},"canonical_sha256":"9b6a6c1b267b79eb6899f6799cdd60d6bb84f49d93967aea77eea5d760f11029","source":{"kind":"arxiv","id":"1401.7910","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.7910","created_at":"2026-05-18T01:44:54Z"},{"alias_kind":"arxiv_version","alias_value":"1401.7910v1","created_at":"2026-05-18T01:44:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.7910","created_at":"2026-05-18T01:44:54Z"},{"alias_kind":"pith_short_12","alias_value":"TNVGYGZGPN46","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TNVGYGZGPN46W2EZ","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TNVGYGZG","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:TNVGYGZGPN46W2EZ6Z4ZZXLA22","target":"record","payload":{"canonical_record":{"source":{"id":"1401.7910","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-01-30T16:27:46Z","cross_cats_sorted":[],"title_canon_sha256":"c792d839ea77232376a2358997af22ee1e57803affc309d5fd9ade2f46a7b275","abstract_canon_sha256":"254a6562cf2d78f587f38e57dcf31d8757982959b53c5f67ce5f435db5f536d7"},"schema_version":"1.0"},"canonical_sha256":"9b6a6c1b267b79eb6899f6799cdd60d6bb84f49d93967aea77eea5d760f11029","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:44:54.438063Z","signature_b64":"dKIdFWrbTYM3BfcmZOJZpy/m/Z7oTGNgayPA9jXUcHMaCTemfdnd3uUoEtKqnpY792pJwetftdsDLpOwtRKNAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b6a6c1b267b79eb6899f6799cdd60d6bb84f49d93967aea77eea5d760f11029","last_reissued_at":"2026-05-18T01:44:54.437510Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:44:54.437510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.7910","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":"2026-05-18T01:44:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2DKUMrW19fNu8s3mdA1cgmnO8Jdta9cQZ5uTh23iHUSEYrpIISGwcCK4di5LdCQl9xwoJuA/PVa73SSn+hozCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T18:39:18.961865Z"},"content_sha256":"fb78c9034cbd19768d5b23aae43e6668775bff68e1ad8258bfd8baaa36f94d8d","schema_version":"1.0","event_id":"sha256:fb78c9034cbd19768d5b23aae43e6668775bff68e1ad8258bfd8baaa36f94d8d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:TNVGYGZGPN46W2EZ6Z4ZZXLA22","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Expressing the entropy of lattice systems as sums of conditional entropies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Kristian Lindgren, Torbj{\\o}rn Helvik","submitted_at":"2014-01-30T16:27:46Z","abstract_excerpt":"Whether a system is to be considered complex or not depends on how one searches for correlations. We propose a general scheme for calculation of entropies in lattice systems that has high flexibility in how correlations are successively taken into account. Compared to the traditional approach for estimating the entropy density, in which successive approximations builds on step-wise extensions of blocks of symbols, we show that one can take larger steps when collecting the statistics necessary to calculate the entropy density of the system. In one dimension this means that, instead of a single "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.7910","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":"2026-05-18T01:44:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IyXlqwfbcPsIr0lTB+oM+uvELJvIDO0pKLdwYGt6PpDMUk99a2fKH3OTjXHUvEFywkleaKbYgc4I7N5SnlUgAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T18:39:18.962485Z"},"content_sha256":"9a02269947fa4c20a6a0d6e53d5842ee2dacdd0f51f51baa83cf4b5cd92d4379","schema_version":"1.0","event_id":"sha256:9a02269947fa4c20a6a0d6e53d5842ee2dacdd0f51f51baa83cf4b5cd92d4379"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TNVGYGZGPN46W2EZ6Z4ZZXLA22/bundle.json","state_url":"https://pith.science/pith/TNVGYGZGPN46W2EZ6Z4ZZXLA22/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TNVGYGZGPN46W2EZ6Z4ZZXLA22/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":"2026-06-09T18:39:18Z","links":{"resolver":"https://pith.science/pith/TNVGYGZGPN46W2EZ6Z4ZZXLA22","bundle":"https://pith.science/pith/TNVGYGZGPN46W2EZ6Z4ZZXLA22/bundle.json","state":"https://pith.science/pith/TNVGYGZGPN46W2EZ6Z4ZZXLA22/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TNVGYGZGPN46W2EZ6Z4ZZXLA22/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TNVGYGZGPN46W2EZ6Z4ZZXLA22","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":"254a6562cf2d78f587f38e57dcf31d8757982959b53c5f67ce5f435db5f536d7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-01-30T16:27:46Z","title_canon_sha256":"c792d839ea77232376a2358997af22ee1e57803affc309d5fd9ade2f46a7b275"},"schema_version":"1.0","source":{"id":"1401.7910","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.7910","created_at":"2026-05-18T01:44:54Z"},{"alias_kind":"arxiv_version","alias_value":"1401.7910v1","created_at":"2026-05-18T01:44:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.7910","created_at":"2026-05-18T01:44:54Z"},{"alias_kind":"pith_short_12","alias_value":"TNVGYGZGPN46","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TNVGYGZGPN46W2EZ","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TNVGYGZG","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:9a02269947fa4c20a6a0d6e53d5842ee2dacdd0f51f51baa83cf4b5cd92d4379","target":"graph","created_at":"2026-05-18T01:44:54Z","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":"Whether a system is to be considered complex or not depends on how one searches for correlations. We propose a general scheme for calculation of entropies in lattice systems that has high flexibility in how correlations are successively taken into account. Compared to the traditional approach for estimating the entropy density, in which successive approximations builds on step-wise extensions of blocks of symbols, we show that one can take larger steps when collecting the statistics necessary to calculate the entropy density of the system. In one dimension this means that, instead of a single ","authors_text":"Kristian Lindgren, Torbj{\\o}rn Helvik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-01-30T16:27:46Z","title":"Expressing the entropy of lattice systems as sums of conditional entropies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.7910","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:fb78c9034cbd19768d5b23aae43e6668775bff68e1ad8258bfd8baaa36f94d8d","target":"record","created_at":"2026-05-18T01:44:54Z","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":"254a6562cf2d78f587f38e57dcf31d8757982959b53c5f67ce5f435db5f536d7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-01-30T16:27:46Z","title_canon_sha256":"c792d839ea77232376a2358997af22ee1e57803affc309d5fd9ade2f46a7b275"},"schema_version":"1.0","source":{"id":"1401.7910","kind":"arxiv","version":1}},"canonical_sha256":"9b6a6c1b267b79eb6899f6799cdd60d6bb84f49d93967aea77eea5d760f11029","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b6a6c1b267b79eb6899f6799cdd60d6bb84f49d93967aea77eea5d760f11029","first_computed_at":"2026-05-18T01:44:54.437510Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:54.437510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dKIdFWrbTYM3BfcmZOJZpy/m/Z7oTGNgayPA9jXUcHMaCTemfdnd3uUoEtKqnpY792pJwetftdsDLpOwtRKNAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:54.438063Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.7910","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb78c9034cbd19768d5b23aae43e6668775bff68e1ad8258bfd8baaa36f94d8d","sha256:9a02269947fa4c20a6a0d6e53d5842ee2dacdd0f51f51baa83cf4b5cd92d4379"],"state_sha256":"995332e0969c8551f3464cd5aa2da3896f4fc169b7694294c55f9fcea42a780a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2a5a2vBbW376Wy0FDTM6fPEa1+TtG91j+O6csu2nnmdgJ2QSeSCKmmUnmpOQ+Q6ScyCbOEkEp8rRZHGpix3PCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T18:39:18.965698Z","bundle_sha256":"54d7e1a271a288e7bd2b5bee7d7176d75ccbcc6ca6597670d8f9f8bfe3e65e7d"}}