{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:ROWGU5UFALBCZNWJNSNG4FLNYG","short_pith_number":"pith:ROWGU5UF","canonical_record":{"source":{"id":"2607.12096","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-07-13T19:14:01Z","cross_cats_sorted":[],"title_canon_sha256":"6d67e8d73ac7d9422419e6246f1c93f8babb2041bbef0d838861427a7450955e","abstract_canon_sha256":"abed62015d2dc49cf62c79d09e54497a5e8ae66a81d5d98ee0bf966357095291"},"schema_version":"1.0"},"canonical_sha256":"8bac6a768502c22cb6c96c9a6e156dc1a787773dd12ea617ee18af5b33c8e1d7","source":{"kind":"arxiv","id":"2607.12096","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.12096","created_at":"2026-07-15T00:21:33Z"},{"alias_kind":"arxiv_version","alias_value":"2607.12096v1","created_at":"2026-07-15T00:21:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.12096","created_at":"2026-07-15T00:21:33Z"},{"alias_kind":"pith_short_12","alias_value":"ROWGU5UFALBC","created_at":"2026-07-15T00:21:33Z"},{"alias_kind":"pith_short_16","alias_value":"ROWGU5UFALBCZNWJ","created_at":"2026-07-15T00:21:33Z"},{"alias_kind":"pith_short_8","alias_value":"ROWGU5UF","created_at":"2026-07-15T00:21:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:ROWGU5UFALBCZNWJNSNG4FLNYG","target":"record","payload":{"canonical_record":{"source":{"id":"2607.12096","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-07-13T19:14:01Z","cross_cats_sorted":[],"title_canon_sha256":"6d67e8d73ac7d9422419e6246f1c93f8babb2041bbef0d838861427a7450955e","abstract_canon_sha256":"abed62015d2dc49cf62c79d09e54497a5e8ae66a81d5d98ee0bf966357095291"},"schema_version":"1.0"},"canonical_sha256":"8bac6a768502c22cb6c96c9a6e156dc1a787773dd12ea617ee18af5b33c8e1d7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-15T00:21:33.042096Z","signature_b64":"/fsKONiZ5Quue13arZwnBveH62AIccUBCKL6p1zXshHBw6J1ioeuaAN8gf8VH7KY7GmfSG9xp/v3x31Fnb80BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8bac6a768502c22cb6c96c9a6e156dc1a787773dd12ea617ee18af5b33c8e1d7","last_reissued_at":"2026-07-15T00:21:33.041344Z","signature_status":"signed_v1","first_computed_at":"2026-07-15T00:21:33.041344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.12096","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":"2026-07-15T00:21:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nKcXGYrIulQ5dr0Nt+5DB4wuD/Q7fCbUuXztvDYveLL+1qydzYBpsE1RydUvnyJStyJA+fGPuMAOmJiYJhn1Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:28:40.180471Z"},"content_sha256":"e0067e6d8b2c87281036f663d0ae3f6a896b8560f0cda0d208af81548d4fb9e6","schema_version":"1.0","event_id":"sha256:e0067e6d8b2c87281036f663d0ae3f6a896b8560f0cda0d208af81548d4fb9e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:ROWGU5UFALBCZNWJNSNG4FLNYG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological building blocks of nonequilibrium response","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Jordan Horowitz, Sean Fancher","submitted_at":"2026-07-13T19:14:01Z","abstract_excerpt":"Nonequilibrium systems can exploit energy to amplify their sensitivity to external stimuli, allowing them to be harnessed for a variety of functions in both engineered devices and living organisms. An assortment of theoretical results capture different facets of this nonequilibrium amplification, including fluctuation-response relations as well as bounds and constraints that limit the potential behavior. Here, we take a broader perspective, aiming for a systematic characterization of the full range of possible response behaviors. For a wide class of nonequilibrium dynamics, we identify a colle"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.12096","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/2607.12096/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":"2026-07-15T00:21:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zispx3TVOJgLeDv616UOJZYpmgStQ9t9VsJbW3zwc7y3Nghf/ZFaxdrDsdCR92jgGVzhxSWXsXy7Mdh6JYLoBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:28:40.180860Z"},"content_sha256":"cb55787e9a965285c3320c7112c74ec940cd9bd01477a8f382d43b84d80f2d9a","schema_version":"1.0","event_id":"sha256:cb55787e9a965285c3320c7112c74ec940cd9bd01477a8f382d43b84d80f2d9a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ROWGU5UFALBCZNWJNSNG4FLNYG/bundle.json","state_url":"https://pith.science/pith/ROWGU5UFALBCZNWJNSNG4FLNYG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ROWGU5UFALBCZNWJNSNG4FLNYG/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":"2026-08-03T17:28:40Z","links":{"resolver":"https://pith.science/pith/ROWGU5UFALBCZNWJNSNG4FLNYG","bundle":"https://pith.science/pith/ROWGU5UFALBCZNWJNSNG4FLNYG/bundle.json","state":"https://pith.science/pith/ROWGU5UFALBCZNWJNSNG4FLNYG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ROWGU5UFALBCZNWJNSNG4FLNYG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ROWGU5UFALBCZNWJNSNG4FLNYG","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":"abed62015d2dc49cf62c79d09e54497a5e8ae66a81d5d98ee0bf966357095291","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-07-13T19:14:01Z","title_canon_sha256":"6d67e8d73ac7d9422419e6246f1c93f8babb2041bbef0d838861427a7450955e"},"schema_version":"1.0","source":{"id":"2607.12096","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.12096","created_at":"2026-07-15T00:21:33Z"},{"alias_kind":"arxiv_version","alias_value":"2607.12096v1","created_at":"2026-07-15T00:21:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.12096","created_at":"2026-07-15T00:21:33Z"},{"alias_kind":"pith_short_12","alias_value":"ROWGU5UFALBC","created_at":"2026-07-15T00:21:33Z"},{"alias_kind":"pith_short_16","alias_value":"ROWGU5UFALBCZNWJ","created_at":"2026-07-15T00:21:33Z"},{"alias_kind":"pith_short_8","alias_value":"ROWGU5UF","created_at":"2026-07-15T00:21:33Z"}],"graph_snapshots":[{"event_id":"sha256:cb55787e9a965285c3320c7112c74ec940cd9bd01477a8f382d43b84d80f2d9a","target":"graph","created_at":"2026-07-15T00:21:33Z","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/2607.12096/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Nonequilibrium systems can exploit energy to amplify their sensitivity to external stimuli, allowing them to be harnessed for a variety of functions in both engineered devices and living organisms. An assortment of theoretical results capture different facets of this nonequilibrium amplification, including fluctuation-response relations as well as bounds and constraints that limit the potential behavior. Here, we take a broader perspective, aiming for a systematic characterization of the full range of possible response behaviors. For a wide class of nonequilibrium dynamics, we identify a colle","authors_text":"Jordan Horowitz, Sean Fancher","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-07-13T19:14:01Z","title":"Topological building blocks of nonequilibrium response"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.12096","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:e0067e6d8b2c87281036f663d0ae3f6a896b8560f0cda0d208af81548d4fb9e6","target":"record","created_at":"2026-07-15T00:21:33Z","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":"abed62015d2dc49cf62c79d09e54497a5e8ae66a81d5d98ee0bf966357095291","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-07-13T19:14:01Z","title_canon_sha256":"6d67e8d73ac7d9422419e6246f1c93f8babb2041bbef0d838861427a7450955e"},"schema_version":"1.0","source":{"id":"2607.12096","kind":"arxiv","version":1}},"canonical_sha256":"8bac6a768502c22cb6c96c9a6e156dc1a787773dd12ea617ee18af5b33c8e1d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8bac6a768502c22cb6c96c9a6e156dc1a787773dd12ea617ee18af5b33c8e1d7","first_computed_at":"2026-07-15T00:21:33.041344Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-15T00:21:33.041344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/fsKONiZ5Quue13arZwnBveH62AIccUBCKL6p1zXshHBw6J1ioeuaAN8gf8VH7KY7GmfSG9xp/v3x31Fnb80BA==","signature_status":"signed_v1","signed_at":"2026-07-15T00:21:33.042096Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.12096","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0067e6d8b2c87281036f663d0ae3f6a896b8560f0cda0d208af81548d4fb9e6","sha256:cb55787e9a965285c3320c7112c74ec940cd9bd01477a8f382d43b84d80f2d9a"],"state_sha256":"f4249f20e7aa5ac379e2b7f1995ab978b218801ef73fb5f9a2f33f139342661b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V12tCn2JRgiYGXTaei0HLx3AvqRCDq8Ksjf18sTipNDr738hCkK+Jvm5uNxDCuPABWT65EDBDErzACBAh+tYBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T17:28:40.183963Z","bundle_sha256":"011e5190476068ec35976e3c1c524fa28adbba2950d23ec38a053242c13d7f23"}}