{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:J47NKBA4XKPM2R4EZEVOWFE5RW","short_pith_number":"pith:J47NKBA4","canonical_record":{"source":{"id":"0801.1756","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2008-01-11T11:12:15Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"e664c24b9697e2699bb4d78f6e21d72786fa786d56e27fc26263e62dea4d4bac","abstract_canon_sha256":"b183423f68f81b14dcc113afbd28b4e24749e36a78f42e967c7485540029a805"},"schema_version":"1.0"},"canonical_sha256":"4f3ed5041cba9ecd4784c92aeb149d8db325315b96657bf86588b7c19cb65ed9","source":{"kind":"arxiv","id":"0801.1756","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.1756","created_at":"2026-05-18T03:24:43Z"},{"alias_kind":"arxiv_version","alias_value":"0801.1756v1","created_at":"2026-05-18T03:24:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.1756","created_at":"2026-05-18T03:24:43Z"},{"alias_kind":"pith_short_12","alias_value":"J47NKBA4XKPM","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"J47NKBA4XKPM2R4E","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"J47NKBA4","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:J47NKBA4XKPM2R4EZEVOWFE5RW","target":"record","payload":{"canonical_record":{"source":{"id":"0801.1756","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2008-01-11T11:12:15Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"e664c24b9697e2699bb4d78f6e21d72786fa786d56e27fc26263e62dea4d4bac","abstract_canon_sha256":"b183423f68f81b14dcc113afbd28b4e24749e36a78f42e967c7485540029a805"},"schema_version":"1.0"},"canonical_sha256":"4f3ed5041cba9ecd4784c92aeb149d8db325315b96657bf86588b7c19cb65ed9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:43.135117Z","signature_b64":"UgoZggeA8MxE/rwERBxXIHzdV9ipHXhj9ZGV79lykqztIS8gDEXYWwV1PolZdVN7O5hC6pexy/raOEJ1mXalAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f3ed5041cba9ecd4784c92aeb149d8db325315b96657bf86588b7c19cb65ed9","last_reissued_at":"2026-05-18T03:24:43.134437Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:43.134437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0801.1756","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":"2026-05-18T03:24:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C7lRgdc7KIOj+72P/4MTkAxi0Rmj012nJgGcgo/06/9rDncS08J81HW6sadkyjqdG46ubOPjfBarIxT87vpaAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:51:42.011019Z"},"content_sha256":"27a2ebdc3f1bd25f4e0bcc68decd0a31a0ceaf383ddfb28e0946295f517b5714","schema_version":"1.0","event_id":"sha256:27a2ebdc3f1bd25f4e0bcc68decd0a31a0ceaf383ddfb28e0946295f517b5714"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:J47NKBA4XKPM2R4EZEVOWFE5RW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New technique for replica symmetry breaking with application to the SK-model at and near T=0","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Manuel J. Schmidt, Reinhold Oppermann","submitted_at":"2008-01-11T11:12:15Z","abstract_excerpt":"We describe a novel method which allows the treatment of high orders of replica-symmetry-breaking (RSB) at low temperatures as well as at T=0 directly, without a need for approximations or scaling assumptions. It yields the low temperature order function q(a,T) in the full range $0\\leq a <\\infty$ and is complete in the sense that all observables can be calculated from it. The behavior of some observables and the finite RSB theory itself is analyzed as one approaches continuous RSB. The validity and applicability of the traditional continuous formulation is then scrutinized and a new continuous"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.1756","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":"2026-05-18T03:24:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g5eKPnQEgHq2cEGYNGNdjj5Dyj1qUWbAB5fdjVhgWIo4sV59zJ9DOU/XBgfrJUrgidAGCk0tgjIz06a0bZWuDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:51:42.011735Z"},"content_sha256":"91901ea6e66914f27a8d50df6c787b713e55a24b86b180453c4dba66159e7dc8","schema_version":"1.0","event_id":"sha256:91901ea6e66914f27a8d50df6c787b713e55a24b86b180453c4dba66159e7dc8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J47NKBA4XKPM2R4EZEVOWFE5RW/bundle.json","state_url":"https://pith.science/pith/J47NKBA4XKPM2R4EZEVOWFE5RW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J47NKBA4XKPM2R4EZEVOWFE5RW/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":"2026-05-26T07:51:42Z","links":{"resolver":"https://pith.science/pith/J47NKBA4XKPM2R4EZEVOWFE5RW","bundle":"https://pith.science/pith/J47NKBA4XKPM2R4EZEVOWFE5RW/bundle.json","state":"https://pith.science/pith/J47NKBA4XKPM2R4EZEVOWFE5RW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J47NKBA4XKPM2R4EZEVOWFE5RW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:J47NKBA4XKPM2R4EZEVOWFE5RW","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":"b183423f68f81b14dcc113afbd28b4e24749e36a78f42e967c7485540029a805","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2008-01-11T11:12:15Z","title_canon_sha256":"e664c24b9697e2699bb4d78f6e21d72786fa786d56e27fc26263e62dea4d4bac"},"schema_version":"1.0","source":{"id":"0801.1756","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.1756","created_at":"2026-05-18T03:24:43Z"},{"alias_kind":"arxiv_version","alias_value":"0801.1756v1","created_at":"2026-05-18T03:24:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.1756","created_at":"2026-05-18T03:24:43Z"},{"alias_kind":"pith_short_12","alias_value":"J47NKBA4XKPM","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"J47NKBA4XKPM2R4E","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"J47NKBA4","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:91901ea6e66914f27a8d50df6c787b713e55a24b86b180453c4dba66159e7dc8","target":"graph","created_at":"2026-05-18T03:24:43Z","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 describe a novel method which allows the treatment of high orders of replica-symmetry-breaking (RSB) at low temperatures as well as at T=0 directly, without a need for approximations or scaling assumptions. It yields the low temperature order function q(a,T) in the full range $0\\leq a <\\infty$ and is complete in the sense that all observables can be calculated from it. The behavior of some observables and the finite RSB theory itself is analyzed as one approaches continuous RSB. The validity and applicability of the traditional continuous formulation is then scrutinized and a new continuous","authors_text":"Manuel J. Schmidt, Reinhold Oppermann","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2008-01-11T11:12:15Z","title":"New technique for replica symmetry breaking with application to the SK-model at and near T=0"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.1756","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":"sha256:27a2ebdc3f1bd25f4e0bcc68decd0a31a0ceaf383ddfb28e0946295f517b5714","target":"record","created_at":"2026-05-18T03:24:43Z","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":"b183423f68f81b14dcc113afbd28b4e24749e36a78f42e967c7485540029a805","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2008-01-11T11:12:15Z","title_canon_sha256":"e664c24b9697e2699bb4d78f6e21d72786fa786d56e27fc26263e62dea4d4bac"},"schema_version":"1.0","source":{"id":"0801.1756","kind":"arxiv","version":1}},"canonical_sha256":"4f3ed5041cba9ecd4784c92aeb149d8db325315b96657bf86588b7c19cb65ed9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f3ed5041cba9ecd4784c92aeb149d8db325315b96657bf86588b7c19cb65ed9","first_computed_at":"2026-05-18T03:24:43.134437Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:43.134437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UgoZggeA8MxE/rwERBxXIHzdV9ipHXhj9ZGV79lykqztIS8gDEXYWwV1PolZdVN7O5hC6pexy/raOEJ1mXalAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:43.135117Z","signed_message":"canonical_sha256_bytes"},"source_id":"0801.1756","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27a2ebdc3f1bd25f4e0bcc68decd0a31a0ceaf383ddfb28e0946295f517b5714","sha256:91901ea6e66914f27a8d50df6c787b713e55a24b86b180453c4dba66159e7dc8"],"state_sha256":"e21255048895bba790ecf79222bede2f4ab382e7031100f68614b3ba2fa2a073"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nyv18NuypeEJhp4hIc7nvNy+vK3mSggof5vb4NrxiY8iWg31qAqgwcD12h6lzI4l6goS6aN5fAYMt482yvkLAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T07:51:42.015458Z","bundle_sha256":"4ffa28dd2b6a4bd6b8ded582ee021657dc9a652d3f2ea3f57002a7f7ee163644"}}