{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:ZIKDQUIDKJGL6IP6Q4EW4HJJT5","short_pith_number":"pith:ZIKDQUID","canonical_record":{"source":{"id":"1606.03990","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-06-13T15:15:29Z","cross_cats_sorted":[],"title_canon_sha256":"c67cf103f7e7647d331c2bf0c673d41c91542cae389277e8e9807cfa28f878e0","abstract_canon_sha256":"2d3700df1702ff8b313a1eb52bfd40b3ecb356dd96559364f4762b47f6bf48af"},"schema_version":"1.0"},"canonical_sha256":"ca14385103524cbf21fe87096e1d299f6ad69da61878b2df609dcfa2c3a8cb8e","source":{"kind":"arxiv","id":"1606.03990","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.03990","created_at":"2026-05-18T01:09:29Z"},{"alias_kind":"arxiv_version","alias_value":"1606.03990v2","created_at":"2026-05-18T01:09:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.03990","created_at":"2026-05-18T01:09:29Z"},{"alias_kind":"pith_short_12","alias_value":"ZIKDQUIDKJGL","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"ZIKDQUIDKJGL6IP6","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"ZIKDQUID","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:ZIKDQUIDKJGL6IP6Q4EW4HJJT5","target":"record","payload":{"canonical_record":{"source":{"id":"1606.03990","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-06-13T15:15:29Z","cross_cats_sorted":[],"title_canon_sha256":"c67cf103f7e7647d331c2bf0c673d41c91542cae389277e8e9807cfa28f878e0","abstract_canon_sha256":"2d3700df1702ff8b313a1eb52bfd40b3ecb356dd96559364f4762b47f6bf48af"},"schema_version":"1.0"},"canonical_sha256":"ca14385103524cbf21fe87096e1d299f6ad69da61878b2df609dcfa2c3a8cb8e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:29.379874Z","signature_b64":"zYrQKsx0EXV7UbkDJYQM3XBQR8CJ2naHsq5oxF+iGx0Q3LfqdTtSOmGkae94ElrXua0tQQKjHEksEDVcQ6moDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca14385103524cbf21fe87096e1d299f6ad69da61878b2df609dcfa2c3a8cb8e","last_reissued_at":"2026-05-18T01:09:29.379277Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:29.379277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.03990","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":"2026-05-18T01:09:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1HcUyQ17xm8BXVYPZWXq2Byz0uaUswSGdqsA7Mv+df97IkEQnKwGSCkSB/kv99WXkv7JKkY3Wula32usJDr+CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:47:53.392058Z"},"content_sha256":"517f343a935643b730457664b52f84f0c221a498b7a2df543a5e7722e91f373c","schema_version":"1.0","event_id":"sha256:517f343a935643b730457664b52f84f0c221a498b7a2df543a5e7722e91f373c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:ZIKDQUIDKJGL6IP6Q4EW4HJJT5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Interface free-energy exponent in the one-dimensional Ising spin glass with long-range interactions in both the droplet and broken replica symmetry regions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Helmut G. Katzgraber, M. A. Moore, T. Aspelmeier, Wenlong Wang","submitted_at":"2016-06-13T15:15:29Z","abstract_excerpt":"The one-dimensional Ising spin-glass model with power-law long-range interactions is a useful proxy model for studying spin glasses in higher space dimensions and for finding the dimension at which the spin-glass state changes from having broken replica symmetry to that of droplet behavior. To this end we have calculated the exponent that describes the difference in free energy between periodic and antiperiodic boundary conditions. Numerical work is done to support some of the assumptions made in the calculations and to determine the behavior of the interface free-energy exponent of the power "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03990","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":"2026-05-18T01:09:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NXpCQEE4XPdaWvoyK8oZBxKWJ+BL8e9KzgjimPpX5YNqmdI/s3WwUChBSta0KZKFiNjxJS9vO43PXjiGcQaDCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:47:53.392762Z"},"content_sha256":"39c1928a3ff8f5ed68f5a73bced1b8de584d1f55025bc77ddff4085092226d2c","schema_version":"1.0","event_id":"sha256:39c1928a3ff8f5ed68f5a73bced1b8de584d1f55025bc77ddff4085092226d2c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZIKDQUIDKJGL6IP6Q4EW4HJJT5/bundle.json","state_url":"https://pith.science/pith/ZIKDQUIDKJGL6IP6Q4EW4HJJT5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZIKDQUIDKJGL6IP6Q4EW4HJJT5/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":"2026-05-26T00:47:53Z","links":{"resolver":"https://pith.science/pith/ZIKDQUIDKJGL6IP6Q4EW4HJJT5","bundle":"https://pith.science/pith/ZIKDQUIDKJGL6IP6Q4EW4HJJT5/bundle.json","state":"https://pith.science/pith/ZIKDQUIDKJGL6IP6Q4EW4HJJT5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZIKDQUIDKJGL6IP6Q4EW4HJJT5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ZIKDQUIDKJGL6IP6Q4EW4HJJT5","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":"2d3700df1702ff8b313a1eb52bfd40b3ecb356dd96559364f4762b47f6bf48af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-06-13T15:15:29Z","title_canon_sha256":"c67cf103f7e7647d331c2bf0c673d41c91542cae389277e8e9807cfa28f878e0"},"schema_version":"1.0","source":{"id":"1606.03990","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.03990","created_at":"2026-05-18T01:09:29Z"},{"alias_kind":"arxiv_version","alias_value":"1606.03990v2","created_at":"2026-05-18T01:09:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.03990","created_at":"2026-05-18T01:09:29Z"},{"alias_kind":"pith_short_12","alias_value":"ZIKDQUIDKJGL","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"ZIKDQUIDKJGL6IP6","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"ZIKDQUID","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:39c1928a3ff8f5ed68f5a73bced1b8de584d1f55025bc77ddff4085092226d2c","target":"graph","created_at":"2026-05-18T01:09:29Z","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":"The one-dimensional Ising spin-glass model with power-law long-range interactions is a useful proxy model for studying spin glasses in higher space dimensions and for finding the dimension at which the spin-glass state changes from having broken replica symmetry to that of droplet behavior. To this end we have calculated the exponent that describes the difference in free energy between periodic and antiperiodic boundary conditions. Numerical work is done to support some of the assumptions made in the calculations and to determine the behavior of the interface free-energy exponent of the power ","authors_text":"Helmut G. Katzgraber, M. A. Moore, T. Aspelmeier, Wenlong Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-06-13T15:15:29Z","title":"Interface free-energy exponent in the one-dimensional Ising spin glass with long-range interactions in both the droplet and broken replica symmetry regions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03990","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":"sha256:517f343a935643b730457664b52f84f0c221a498b7a2df543a5e7722e91f373c","target":"record","created_at":"2026-05-18T01:09:29Z","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":"2d3700df1702ff8b313a1eb52bfd40b3ecb356dd96559364f4762b47f6bf48af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-06-13T15:15:29Z","title_canon_sha256":"c67cf103f7e7647d331c2bf0c673d41c91542cae389277e8e9807cfa28f878e0"},"schema_version":"1.0","source":{"id":"1606.03990","kind":"arxiv","version":2}},"canonical_sha256":"ca14385103524cbf21fe87096e1d299f6ad69da61878b2df609dcfa2c3a8cb8e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca14385103524cbf21fe87096e1d299f6ad69da61878b2df609dcfa2c3a8cb8e","first_computed_at":"2026-05-18T01:09:29.379277Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:29.379277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zYrQKsx0EXV7UbkDJYQM3XBQR8CJ2naHsq5oxF+iGx0Q3LfqdTtSOmGkae94ElrXua0tQQKjHEksEDVcQ6moDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:29.379874Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.03990","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:517f343a935643b730457664b52f84f0c221a498b7a2df543a5e7722e91f373c","sha256:39c1928a3ff8f5ed68f5a73bced1b8de584d1f55025bc77ddff4085092226d2c"],"state_sha256":"b909a16b7cb67037df6c7139a56bb7231974f4cebd0f822c8d8c6710f57e0408"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gqPLEdjuszS/yi3olTPPY7isZu7Px9DgIlIiA2SN2AYwuUmAHMfvJ1Duy5KVBmTN51UCu5mQHaP2XdspRKOQCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T00:47:53.396659Z","bundle_sha256":"d0f17a43e55b1c0daa70947c1ac7dc27ce5d81d3cb5ad21638c28e0aa41737bb"}}