{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:V5UKJRRWBA4FDMI3RYKHY2FQUE","short_pith_number":"pith:V5UKJRRW","canonical_record":{"source":{"id":"2504.11532","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-04-15T18:00:12Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.supr-con","math.MP"],"title_canon_sha256":"f1953e00cb8b3e93e1ca12a0013c7862d772db48c905e6b8cf0666d82c8fd6b3","abstract_canon_sha256":"0877ea44d36c04799b3d9bbfef8569e9a0b994d5e7cb894810e60ec7b12b7c31"},"schema_version":"1.0"},"canonical_sha256":"af68a4c636083851b11b8e147c68b0a11c7d2a752c63b5572f78557174fb01c1","source":{"kind":"arxiv","id":"2504.11532","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.11532","created_at":"2026-06-10T01:09:16Z"},{"alias_kind":"arxiv_version","alias_value":"2504.11532v1","created_at":"2026-06-10T01:09:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.11532","created_at":"2026-06-10T01:09:16Z"},{"alias_kind":"pith_short_12","alias_value":"V5UKJRRWBA4F","created_at":"2026-06-10T01:09:16Z"},{"alias_kind":"pith_short_16","alias_value":"V5UKJRRWBA4FDMI3","created_at":"2026-06-10T01:09:16Z"},{"alias_kind":"pith_short_8","alias_value":"V5UKJRRW","created_at":"2026-06-10T01:09:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:V5UKJRRWBA4FDMI3RYKHY2FQUE","target":"record","payload":{"canonical_record":{"source":{"id":"2504.11532","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-04-15T18:00:12Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.supr-con","math.MP"],"title_canon_sha256":"f1953e00cb8b3e93e1ca12a0013c7862d772db48c905e6b8cf0666d82c8fd6b3","abstract_canon_sha256":"0877ea44d36c04799b3d9bbfef8569e9a0b994d5e7cb894810e60ec7b12b7c31"},"schema_version":"1.0"},"canonical_sha256":"af68a4c636083851b11b8e147c68b0a11c7d2a752c63b5572f78557174fb01c1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-10T01:09:16.309342Z","signature_b64":"WGwSJhlrDKokaJF/VSYlGco3I4xV+qeoHa7K6d9RKnnr20lIrIeUQuZLyawHwRSpghSVYB/Qt7ZXxzg4S9TcCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af68a4c636083851b11b8e147c68b0a11c7d2a752c63b5572f78557174fb01c1","last_reissued_at":"2026-06-10T01:09:16.308237Z","signature_status":"signed_v1","first_computed_at":"2026-06-10T01:09:16.308237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.11532","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":"2026-06-10T01:09:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZTq+UHIwJATeesrQvSmbN+DZknAine7Rp2Y4rqDw1fbp3T7nttaWIxuC+dX+oR+JF1Rbubnvgu7BcQrm8WC8Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T05:11:55.445142Z"},"content_sha256":"f73c7a8b9ee4fe42dc3da8165449acaedf7a22b533932b2a25d4ad3ba60e0e90","schema_version":"1.0","event_id":"sha256:f73c7a8b9ee4fe42dc3da8165449acaedf7a22b533932b2a25d4ad3ba60e0e90"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:V5UKJRRWBA4FDMI3RYKHY2FQUE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Infinite Stability in Disordered Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.supr-con","math.MP"],"primary_cat":"math-ph","authors_text":"Andrew C. Yuan, Nick Crawford","submitted_at":"2025-04-15T18:00:12Z","abstract_excerpt":"In quenched disordered systems, the existence of ordering is generally believed to be only possible in the weak disorder regime (disregarding models of spin-glass type). In particular, sufficiently large random fields is expected to prohibit any finite temperature ordering. Here, we prove that this is not necessarily true, and show rigorously that for physically relevant systems in $\\mathbb{Z}^d$ with $d\\ge 3$, disorder can induce ordering that is \\textit{infinitely stable}, in the sense that (1) there exists ordering at arbitrarily large disorder strength and (2) the transition temperature is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.11532","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/2504.11532/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":"2026-06-10T01:09:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"//d3CGBCgWGC6yCp8s4gdoTGdgqjyU5LScepXacZg2VYg7XFGTE8g5NiJXkFBAaNlO9EcdPRU6xLlkwtKCG6Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T05:11:55.445750Z"},"content_sha256":"a4c4fb73a2273127c91459ebf070d117a2a2f9d47ecd5ca8cc18d001cce9f00c","schema_version":"1.0","event_id":"sha256:a4c4fb73a2273127c91459ebf070d117a2a2f9d47ecd5ca8cc18d001cce9f00c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V5UKJRRWBA4FDMI3RYKHY2FQUE/bundle.json","state_url":"https://pith.science/pith/V5UKJRRWBA4FDMI3RYKHY2FQUE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V5UKJRRWBA4FDMI3RYKHY2FQUE/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":"2026-06-11T05:11:55Z","links":{"resolver":"https://pith.science/pith/V5UKJRRWBA4FDMI3RYKHY2FQUE","bundle":"https://pith.science/pith/V5UKJRRWBA4FDMI3RYKHY2FQUE/bundle.json","state":"https://pith.science/pith/V5UKJRRWBA4FDMI3RYKHY2FQUE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V5UKJRRWBA4FDMI3RYKHY2FQUE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:V5UKJRRWBA4FDMI3RYKHY2FQUE","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":"0877ea44d36c04799b3d9bbfef8569e9a0b994d5e7cb894810e60ec7b12b7c31","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.supr-con","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-04-15T18:00:12Z","title_canon_sha256":"f1953e00cb8b3e93e1ca12a0013c7862d772db48c905e6b8cf0666d82c8fd6b3"},"schema_version":"1.0","source":{"id":"2504.11532","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.11532","created_at":"2026-06-10T01:09:16Z"},{"alias_kind":"arxiv_version","alias_value":"2504.11532v1","created_at":"2026-06-10T01:09:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.11532","created_at":"2026-06-10T01:09:16Z"},{"alias_kind":"pith_short_12","alias_value":"V5UKJRRWBA4F","created_at":"2026-06-10T01:09:16Z"},{"alias_kind":"pith_short_16","alias_value":"V5UKJRRWBA4FDMI3","created_at":"2026-06-10T01:09:16Z"},{"alias_kind":"pith_short_8","alias_value":"V5UKJRRW","created_at":"2026-06-10T01:09:16Z"}],"graph_snapshots":[{"event_id":"sha256:a4c4fb73a2273127c91459ebf070d117a2a2f9d47ecd5ca8cc18d001cce9f00c","target":"graph","created_at":"2026-06-10T01:09:16Z","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/2504.11532/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In quenched disordered systems, the existence of ordering is generally believed to be only possible in the weak disorder regime (disregarding models of spin-glass type). In particular, sufficiently large random fields is expected to prohibit any finite temperature ordering. Here, we prove that this is not necessarily true, and show rigorously that for physically relevant systems in $\\mathbb{Z}^d$ with $d\\ge 3$, disorder can induce ordering that is \\textit{infinitely stable}, in the sense that (1) there exists ordering at arbitrarily large disorder strength and (2) the transition temperature is","authors_text":"Andrew C. Yuan, Nick Crawford","cross_cats":["cond-mat.stat-mech","cond-mat.supr-con","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-04-15T18:00:12Z","title":"Infinite Stability in Disordered Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.11532","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:f73c7a8b9ee4fe42dc3da8165449acaedf7a22b533932b2a25d4ad3ba60e0e90","target":"record","created_at":"2026-06-10T01:09:16Z","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":"0877ea44d36c04799b3d9bbfef8569e9a0b994d5e7cb894810e60ec7b12b7c31","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.supr-con","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-04-15T18:00:12Z","title_canon_sha256":"f1953e00cb8b3e93e1ca12a0013c7862d772db48c905e6b8cf0666d82c8fd6b3"},"schema_version":"1.0","source":{"id":"2504.11532","kind":"arxiv","version":1}},"canonical_sha256":"af68a4c636083851b11b8e147c68b0a11c7d2a752c63b5572f78557174fb01c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af68a4c636083851b11b8e147c68b0a11c7d2a752c63b5572f78557174fb01c1","first_computed_at":"2026-06-10T01:09:16.308237Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T01:09:16.308237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WGwSJhlrDKokaJF/VSYlGco3I4xV+qeoHa7K6d9RKnnr20lIrIeUQuZLyawHwRSpghSVYB/Qt7ZXxzg4S9TcCA==","signature_status":"signed_v1","signed_at":"2026-06-10T01:09:16.309342Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.11532","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f73c7a8b9ee4fe42dc3da8165449acaedf7a22b533932b2a25d4ad3ba60e0e90","sha256:a4c4fb73a2273127c91459ebf070d117a2a2f9d47ecd5ca8cc18d001cce9f00c"],"state_sha256":"11a7ff97eb29653854157d9fb346cb7c87f1313fb4b809c8772980a0a95b2d8d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QlzwNc/wSh2p/LgcJPc/g1WfoYwlBre+yG0EvfHN/tCCxMLV1lD1qnuXath9Z7GnFd/5jTj7eM8/C3bYEjP+Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T05:11:55.449209Z","bundle_sha256":"1ed3368e2717fd7060085b2eaac65273b650020986a124a5d77073bdfafb1dd3"}}