{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:FHFVPRUOS6SVA45LCQYMO5A3RA","short_pith_number":"pith:FHFVPRUO","canonical_record":{"source":{"id":"1204.4191","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-04-18T20:03:40Z","cross_cats_sorted":[],"title_canon_sha256":"739c38151e4f8d5410bf9f438a42bd94400c46db6ecc80afeddea035ef607a49","abstract_canon_sha256":"f5324f586df39ed0c12b4cef9f76b4030161445b8de62f4952ab9d51d3e5ddb2"},"schema_version":"1.0"},"canonical_sha256":"29cb57c68e97a55073ab1430c7741b88367abb48f466965a2d8d2a8cf8033edd","source":{"kind":"arxiv","id":"1204.4191","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.4191","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"arxiv_version","alias_value":"1204.4191v2","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.4191","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"pith_short_12","alias_value":"FHFVPRUOS6SV","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FHFVPRUOS6SVA45L","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FHFVPRUO","created_at":"2026-05-18T12:27:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:FHFVPRUOS6SVA45LCQYMO5A3RA","target":"record","payload":{"canonical_record":{"source":{"id":"1204.4191","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-04-18T20:03:40Z","cross_cats_sorted":[],"title_canon_sha256":"739c38151e4f8d5410bf9f438a42bd94400c46db6ecc80afeddea035ef607a49","abstract_canon_sha256":"f5324f586df39ed0c12b4cef9f76b4030161445b8de62f4952ab9d51d3e5ddb2"},"schema_version":"1.0"},"canonical_sha256":"29cb57c68e97a55073ab1430c7741b88367abb48f466965a2d8d2a8cf8033edd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:32.108870Z","signature_b64":"fbiaja0kVO9Bd5QqFCKda04m2A6q8wpaY+lourIN5N8cyuJ+mWRKDKI5MIFb9U+bVRySdS8kFuyJHbsIp/tiCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29cb57c68e97a55073ab1430c7741b88367abb48f466965a2d8d2a8cf8033edd","last_reissued_at":"2026-05-18T02:26:32.108476Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:32.108476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.4191","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:26:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+RpKHtBesVrSF88pDf5aSb+2x/hTpRRfJlM18SZykOp26daRRowZoJ9sSPwkq+/Y0DQmeH20AebBY9SRtJXKCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T05:31:06.747425Z"},"content_sha256":"cc6804a0c08a4934cb1dc62e6f4e67e2c960f3a93663a306ab9e22e32dc11277","schema_version":"1.0","event_id":"sha256:cc6804a0c08a4934cb1dc62e6f4e67e2c960f3a93663a306ab9e22e32dc11277"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:FHFVPRUOS6SVA45LCQYMO5A3RA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universality of modulation length (and time) exponents","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Alexander Seidel, Saurish Chakrabarty, Vladimir Dobrosavljevic, Zohar Nussinov","submitted_at":"2012-04-18T20:03:40Z","abstract_excerpt":"We study systems with a crossover parameter lambda, such as the temperature T, which has a threshold value lambda* across which the correlation function changes from exhibiting fixed wavelength (or time period) modulations to continuously varying modulation lengths (or times). We report on a new exponent, nuL, characterizing the universal nature of this crossover. These exponents, similar to standard correlation length exponents, are obtained from motion of the poles of the momentum (or frequency) space correlation functions in the complex k-plane (or omega-plane) as the parameter lambda is va"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.4191","kind":"arxiv","version":2},"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":"2026-05-18T02:26:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WG67n12ka/veFa2xreGUaxItMmaCGi6875Xc8ViOHbjBGBpwzQLoO+aRHdU7hQuPK16yem6VECgzxQMdA3HyDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T05:31:06.748113Z"},"content_sha256":"a609e9b873d6b83151def52d5af8ca4aa06d4c1d679733a5303e122bcaaa7f43","schema_version":"1.0","event_id":"sha256:a609e9b873d6b83151def52d5af8ca4aa06d4c1d679733a5303e122bcaaa7f43"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FHFVPRUOS6SVA45LCQYMO5A3RA/bundle.json","state_url":"https://pith.science/pith/FHFVPRUOS6SVA45LCQYMO5A3RA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FHFVPRUOS6SVA45LCQYMO5A3RA/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":"2026-05-24T05:31:06Z","links":{"resolver":"https://pith.science/pith/FHFVPRUOS6SVA45LCQYMO5A3RA","bundle":"https://pith.science/pith/FHFVPRUOS6SVA45LCQYMO5A3RA/bundle.json","state":"https://pith.science/pith/FHFVPRUOS6SVA45LCQYMO5A3RA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FHFVPRUOS6SVA45LCQYMO5A3RA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FHFVPRUOS6SVA45LCQYMO5A3RA","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":"f5324f586df39ed0c12b4cef9f76b4030161445b8de62f4952ab9d51d3e5ddb2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-04-18T20:03:40Z","title_canon_sha256":"739c38151e4f8d5410bf9f438a42bd94400c46db6ecc80afeddea035ef607a49"},"schema_version":"1.0","source":{"id":"1204.4191","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.4191","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"arxiv_version","alias_value":"1204.4191v2","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.4191","created_at":"2026-05-18T02:26:32Z"},{"alias_kind":"pith_short_12","alias_value":"FHFVPRUOS6SV","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FHFVPRUOS6SVA45L","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FHFVPRUO","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:a609e9b873d6b83151def52d5af8ca4aa06d4c1d679733a5303e122bcaaa7f43","target":"graph","created_at":"2026-05-18T02:26:32Z","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":"We study systems with a crossover parameter lambda, such as the temperature T, which has a threshold value lambda* across which the correlation function changes from exhibiting fixed wavelength (or time period) modulations to continuously varying modulation lengths (or times). We report on a new exponent, nuL, characterizing the universal nature of this crossover. These exponents, similar to standard correlation length exponents, are obtained from motion of the poles of the momentum (or frequency) space correlation functions in the complex k-plane (or omega-plane) as the parameter lambda is va","authors_text":"Alexander Seidel, Saurish Chakrabarty, Vladimir Dobrosavljevic, Zohar Nussinov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-04-18T20:03:40Z","title":"Universality of modulation length (and time) exponents"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.4191","kind":"arxiv","version":2},"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:cc6804a0c08a4934cb1dc62e6f4e67e2c960f3a93663a306ab9e22e32dc11277","target":"record","created_at":"2026-05-18T02:26:32Z","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":"f5324f586df39ed0c12b4cef9f76b4030161445b8de62f4952ab9d51d3e5ddb2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-04-18T20:03:40Z","title_canon_sha256":"739c38151e4f8d5410bf9f438a42bd94400c46db6ecc80afeddea035ef607a49"},"schema_version":"1.0","source":{"id":"1204.4191","kind":"arxiv","version":2}},"canonical_sha256":"29cb57c68e97a55073ab1430c7741b88367abb48f466965a2d8d2a8cf8033edd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29cb57c68e97a55073ab1430c7741b88367abb48f466965a2d8d2a8cf8033edd","first_computed_at":"2026-05-18T02:26:32.108476Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:32.108476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fbiaja0kVO9Bd5QqFCKda04m2A6q8wpaY+lourIN5N8cyuJ+mWRKDKI5MIFb9U+bVRySdS8kFuyJHbsIp/tiCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:32.108870Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.4191","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc6804a0c08a4934cb1dc62e6f4e67e2c960f3a93663a306ab9e22e32dc11277","sha256:a609e9b873d6b83151def52d5af8ca4aa06d4c1d679733a5303e122bcaaa7f43"],"state_sha256":"df7811114602aad384aa0daf02393cf5b464576dade09d1ed0d695e96b3d2d95"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qp9HXF0Az7RzETvcQmbNnv+AIB+Wkyq+/KrQsKt7WaWsHPSDrtArUbwNpv/wxrxdK0jsBVXwRgto2W5jX49CCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T05:31:06.751644Z","bundle_sha256":"b44cdc55575443e19f9ebba4026185a676e0b0be99d0e6566a8de21bb5bcf969"}}