{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:BZQORLNPKYFQHLUHLTNHG3RSMR","short_pith_number":"pith:BZQORLNP","canonical_record":{"source":{"id":"2607.14451","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-07-16T00:59:17Z","cross_cats_sorted":["physics.bio-ph","q-bio.BM"],"title_canon_sha256":"bce4e474c3c180d74a8b759ec532a6a74a5386c2213fac2784f7b2c9563e7f42","abstract_canon_sha256":"b9ae1190080adea0910213de7c7e14edbcf5d7a64e359e3c30bad8a5c55e5aa3"},"schema_version":"1.0"},"canonical_sha256":"0e60e8adaf560b03ae875cda736e326444d516a02ddab7778ef2822707704446","source":{"kind":"arxiv","id":"2607.14451","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.14451","created_at":"2026-07-17T00:21:13Z"},{"alias_kind":"arxiv_version","alias_value":"2607.14451v1","created_at":"2026-07-17T00:21:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.14451","created_at":"2026-07-17T00:21:13Z"},{"alias_kind":"pith_short_12","alias_value":"BZQORLNPKYFQ","created_at":"2026-07-17T00:21:13Z"},{"alias_kind":"pith_short_16","alias_value":"BZQORLNPKYFQHLUH","created_at":"2026-07-17T00:21:13Z"},{"alias_kind":"pith_short_8","alias_value":"BZQORLNP","created_at":"2026-07-17T00:21:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:BZQORLNPKYFQHLUHLTNHG3RSMR","target":"record","payload":{"canonical_record":{"source":{"id":"2607.14451","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-07-16T00:59:17Z","cross_cats_sorted":["physics.bio-ph","q-bio.BM"],"title_canon_sha256":"bce4e474c3c180d74a8b759ec532a6a74a5386c2213fac2784f7b2c9563e7f42","abstract_canon_sha256":"b9ae1190080adea0910213de7c7e14edbcf5d7a64e359e3c30bad8a5c55e5aa3"},"schema_version":"1.0"},"canonical_sha256":"0e60e8adaf560b03ae875cda736e326444d516a02ddab7778ef2822707704446","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-17T00:21:13.043413Z","signature_b64":"LTFl9fVc70Ho2/kiB9YB1s9VXWZchTiFFUMCjEsqGVIl0aqgS231NbryOboFpaYbE92dSgonr47jFZgpPGl1Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e60e8adaf560b03ae875cda736e326444d516a02ddab7778ef2822707704446","last_reissued_at":"2026-07-17T00:21:13.042525Z","signature_status":"signed_v1","first_computed_at":"2026-07-17T00:21:13.042525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.14451","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":"2026-07-17T00:21:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SAflFotnZ678JcQ/8RodktdYuKzEub/+PwR3j0cVPOqG5VDLoyhR68P8Y/+gQtj6J/uB05Wcz5mlROr6nHzBBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T07:15:54.420400Z"},"content_sha256":"5c5e44ec5466955c101516bed1eedc61840855273a2c915ee3dc0e0c9fd8cde0","schema_version":"1.0","event_id":"sha256:5c5e44ec5466955c101516bed1eedc61840855273a2c915ee3dc0e0c9fd8cde0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:BZQORLNPKYFQHLUHLTNHG3RSMR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Memory-Driven Self-Propulsion and Flocking of Chemically Active Droplets","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["physics.bio-ph","q-bio.BM"],"primary_cat":"cond-mat.soft","authors_text":"Samuel Kovach, Trevor GrandPre","submitted_at":"2026-07-16T00:59:17Z","abstract_excerpt":"Biomolecular condensates are continually remodeled by biochemical reactions that can exhibit non-Markovian, history-dependent dynamics. We develop a theory of active phase separation with non-Markovian reactions and show that delayed reaction feedback destabilizes stationary droplets: when the memory time becomes comparable to the reaction turnover time, condensates deform and spontaneously acquire a polar, self-propelled state. In multidroplet systems, persistent memory wakes mediate alignment, producing polar flocks and, at higher concentrations, traveling labyrinths. These results establish"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.14451","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/2607.14451/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":"2026-07-17T00:21:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tm+INN7WhhIimrcoTFsY2Fnv28Yl/WLMilenztXCVzdJimG/Zw2JV6R14IGlIa5bd7NgsKJFmmUUcyD1spC1AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T07:15:54.420901Z"},"content_sha256":"4195abd8fe716c23eb17493a8a270da823bd2d8499e8bc3944b8d77e065a7b73","schema_version":"1.0","event_id":"sha256:4195abd8fe716c23eb17493a8a270da823bd2d8499e8bc3944b8d77e065a7b73"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BZQORLNPKYFQHLUHLTNHG3RSMR/bundle.json","state_url":"https://pith.science/pith/BZQORLNPKYFQHLUHLTNHG3RSMR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BZQORLNPKYFQHLUHLTNHG3RSMR/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":"2026-08-05T07:15:54Z","links":{"resolver":"https://pith.science/pith/BZQORLNPKYFQHLUHLTNHG3RSMR","bundle":"https://pith.science/pith/BZQORLNPKYFQHLUHLTNHG3RSMR/bundle.json","state":"https://pith.science/pith/BZQORLNPKYFQHLUHLTNHG3RSMR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BZQORLNPKYFQHLUHLTNHG3RSMR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:BZQORLNPKYFQHLUHLTNHG3RSMR","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":"b9ae1190080adea0910213de7c7e14edbcf5d7a64e359e3c30bad8a5c55e5aa3","cross_cats_sorted":["physics.bio-ph","q-bio.BM"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-07-16T00:59:17Z","title_canon_sha256":"bce4e474c3c180d74a8b759ec532a6a74a5386c2213fac2784f7b2c9563e7f42"},"schema_version":"1.0","source":{"id":"2607.14451","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.14451","created_at":"2026-07-17T00:21:13Z"},{"alias_kind":"arxiv_version","alias_value":"2607.14451v1","created_at":"2026-07-17T00:21:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.14451","created_at":"2026-07-17T00:21:13Z"},{"alias_kind":"pith_short_12","alias_value":"BZQORLNPKYFQ","created_at":"2026-07-17T00:21:13Z"},{"alias_kind":"pith_short_16","alias_value":"BZQORLNPKYFQHLUH","created_at":"2026-07-17T00:21:13Z"},{"alias_kind":"pith_short_8","alias_value":"BZQORLNP","created_at":"2026-07-17T00:21:13Z"}],"graph_snapshots":[{"event_id":"sha256:4195abd8fe716c23eb17493a8a270da823bd2d8499e8bc3944b8d77e065a7b73","target":"graph","created_at":"2026-07-17T00:21:13Z","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/2607.14451/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Biomolecular condensates are continually remodeled by biochemical reactions that can exhibit non-Markovian, history-dependent dynamics. We develop a theory of active phase separation with non-Markovian reactions and show that delayed reaction feedback destabilizes stationary droplets: when the memory time becomes comparable to the reaction turnover time, condensates deform and spontaneously acquire a polar, self-propelled state. In multidroplet systems, persistent memory wakes mediate alignment, producing polar flocks and, at higher concentrations, traveling labyrinths. These results establish","authors_text":"Samuel Kovach, Trevor GrandPre","cross_cats":["physics.bio-ph","q-bio.BM"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-07-16T00:59:17Z","title":"Memory-Driven Self-Propulsion and Flocking of Chemically Active Droplets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.14451","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":"sha256:5c5e44ec5466955c101516bed1eedc61840855273a2c915ee3dc0e0c9fd8cde0","target":"record","created_at":"2026-07-17T00:21:13Z","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":"b9ae1190080adea0910213de7c7e14edbcf5d7a64e359e3c30bad8a5c55e5aa3","cross_cats_sorted":["physics.bio-ph","q-bio.BM"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-07-16T00:59:17Z","title_canon_sha256":"bce4e474c3c180d74a8b759ec532a6a74a5386c2213fac2784f7b2c9563e7f42"},"schema_version":"1.0","source":{"id":"2607.14451","kind":"arxiv","version":1}},"canonical_sha256":"0e60e8adaf560b03ae875cda736e326444d516a02ddab7778ef2822707704446","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0e60e8adaf560b03ae875cda736e326444d516a02ddab7778ef2822707704446","first_computed_at":"2026-07-17T00:21:13.042525Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-17T00:21:13.042525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LTFl9fVc70Ho2/kiB9YB1s9VXWZchTiFFUMCjEsqGVIl0aqgS231NbryOboFpaYbE92dSgonr47jFZgpPGl1Dw==","signature_status":"signed_v1","signed_at":"2026-07-17T00:21:13.043413Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.14451","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c5e44ec5466955c101516bed1eedc61840855273a2c915ee3dc0e0c9fd8cde0","sha256:4195abd8fe716c23eb17493a8a270da823bd2d8499e8bc3944b8d77e065a7b73"],"state_sha256":"3429bf63f781f48419bc75b1f1e6bb5b22d71a0b9d53be392fb49f49088138b9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LXflzboFZzQW2X6F7dw73MbxzbXzpi92gGn4CsyJjpMwQ4gR8uHqzuIsaz2UyxcBPrKKI+9wKBxryEHqFSHJBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T07:15:54.430975Z","bundle_sha256":"6c4749c949fc4d986265d2ee0237fd915e8b0d8aee1a0c2a8fc43058569f519b"}}