{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:B4GGJREGUO5XNC4SAJX2OKOUEG","short_pith_number":"pith:B4GGJREG","canonical_record":{"source":{"id":"1908.07881","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2019-08-21T14:04:39Z","cross_cats_sorted":["cond-mat.mtrl-sci","physics.chem-ph"],"title_canon_sha256":"404250787bc5b177e6f7d4eb2f4cc8fae7c4eecafa8fa96402dc0697fe1ad983","abstract_canon_sha256":"6c701db3be3129202259dd582588808bbd56f8af77f10334678ee1c979daa1cb"},"schema_version":"1.0"},"canonical_sha256":"0f0c64c486a3bb768b92026fa729d421adcaa08083feda40f578920f4ccbbe11","source":{"kind":"arxiv","id":"1908.07881","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.07881","created_at":"2026-07-05T00:47:58Z"},{"alias_kind":"arxiv_version","alias_value":"1908.07881v3","created_at":"2026-07-05T00:47:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.07881","created_at":"2026-07-05T00:47:58Z"},{"alias_kind":"pith_short_12","alias_value":"B4GGJREGUO5X","created_at":"2026-07-05T00:47:58Z"},{"alias_kind":"pith_short_16","alias_value":"B4GGJREGUO5XNC4S","created_at":"2026-07-05T00:47:58Z"},{"alias_kind":"pith_short_8","alias_value":"B4GGJREG","created_at":"2026-07-05T00:47:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:B4GGJREGUO5XNC4SAJX2OKOUEG","target":"record","payload":{"canonical_record":{"source":{"id":"1908.07881","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2019-08-21T14:04:39Z","cross_cats_sorted":["cond-mat.mtrl-sci","physics.chem-ph"],"title_canon_sha256":"404250787bc5b177e6f7d4eb2f4cc8fae7c4eecafa8fa96402dc0697fe1ad983","abstract_canon_sha256":"6c701db3be3129202259dd582588808bbd56f8af77f10334678ee1c979daa1cb"},"schema_version":"1.0"},"canonical_sha256":"0f0c64c486a3bb768b92026fa729d421adcaa08083feda40f578920f4ccbbe11","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:47:58.845246Z","signature_b64":"++PCPVrHyqZx14+AscrSWq+b4BlemkF/bGwb1DiKFAbTyopscKb1RvnkzpMRZLIpYQOzv5CZN7E+JDNbkaLHAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f0c64c486a3bb768b92026fa729d421adcaa08083feda40f578920f4ccbbe11","last_reissued_at":"2026-07-05T00:47:58.844838Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:47:58.844838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.07881","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:47:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/ZehqHI26/0YnW1yUwqu4MD9jZhGiyr5hE9MlQZXKQulcoWPMCsD5fT4+KIcHQ1XvjVBhbbTrd85pU8SITWoCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T07:25:03.693734Z"},"content_sha256":"32a51a39057c5b65364f0980e6a1dcd8661b19eaff664177718651caff170e58","schema_version":"1.0","event_id":"sha256:32a51a39057c5b65364f0980e6a1dcd8661b19eaff664177718651caff170e58"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:B4GGJREGUO5XNC4SAJX2OKOUEG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Apollonian Packing in Polydisperse Emulsions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","physics.chem-ph"],"primary_cat":"cond-mat.soft","authors_text":"Bernard Cabane, Lewis Sharpnack, Robert Botet, Sylvie Kwok","submitted_at":"2019-08-21T14:04:39Z","abstract_excerpt":"We have discovered the existence of polydisperse High Internal-Phase-Ratio Emulsions (HIPE) in which the internal-phase droplets, present at 95% volume fraction, remain spherical and organize themselves in the available space according to Apollonian packing rules. These polydisperse HIPE are formed during emulsification of surfactant-poor compositions of oil-surfactant-water two-phase systems. Their droplet size-distributions evolve spontaneously towards power laws with the Apollonian exponent. Small-Angle X-Ray Scattering performed on aged HIPEs demonstrated that the droplet packing structure"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.07881","kind":"arxiv","version":3},"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/1908.07881/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":"2026-07-05T00:47:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RFeKpgYU4pKyz7qTVNXzTL7Ay1s6QLWtCluc56EDUzKmwD8ilrCvip/f5FGYvApIe1pJ+JsJpIk5Mqe3GUOoBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T07:25:03.694273Z"},"content_sha256":"faabadd26535a8cb76c95780224043511b0bb3174afe03eeb9460396dedac061","schema_version":"1.0","event_id":"sha256:faabadd26535a8cb76c95780224043511b0bb3174afe03eeb9460396dedac061"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B4GGJREGUO5XNC4SAJX2OKOUEG/bundle.json","state_url":"https://pith.science/pith/B4GGJREGUO5XNC4SAJX2OKOUEG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B4GGJREGUO5XNC4SAJX2OKOUEG/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":"2026-08-16T07:25:03Z","links":{"resolver":"https://pith.science/pith/B4GGJREGUO5XNC4SAJX2OKOUEG","bundle":"https://pith.science/pith/B4GGJREGUO5XNC4SAJX2OKOUEG/bundle.json","state":"https://pith.science/pith/B4GGJREGUO5XNC4SAJX2OKOUEG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B4GGJREGUO5XNC4SAJX2OKOUEG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:B4GGJREGUO5XNC4SAJX2OKOUEG","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":"6c701db3be3129202259dd582588808bbd56f8af77f10334678ee1c979daa1cb","cross_cats_sorted":["cond-mat.mtrl-sci","physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2019-08-21T14:04:39Z","title_canon_sha256":"404250787bc5b177e6f7d4eb2f4cc8fae7c4eecafa8fa96402dc0697fe1ad983"},"schema_version":"1.0","source":{"id":"1908.07881","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.07881","created_at":"2026-07-05T00:47:58Z"},{"alias_kind":"arxiv_version","alias_value":"1908.07881v3","created_at":"2026-07-05T00:47:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.07881","created_at":"2026-07-05T00:47:58Z"},{"alias_kind":"pith_short_12","alias_value":"B4GGJREGUO5X","created_at":"2026-07-05T00:47:58Z"},{"alias_kind":"pith_short_16","alias_value":"B4GGJREGUO5XNC4S","created_at":"2026-07-05T00:47:58Z"},{"alias_kind":"pith_short_8","alias_value":"B4GGJREG","created_at":"2026-07-05T00:47:58Z"}],"graph_snapshots":[{"event_id":"sha256:faabadd26535a8cb76c95780224043511b0bb3174afe03eeb9460396dedac061","target":"graph","created_at":"2026-07-05T00:47:58Z","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/1908.07881/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We have discovered the existence of polydisperse High Internal-Phase-Ratio Emulsions (HIPE) in which the internal-phase droplets, present at 95% volume fraction, remain spherical and organize themselves in the available space according to Apollonian packing rules. These polydisperse HIPE are formed during emulsification of surfactant-poor compositions of oil-surfactant-water two-phase systems. Their droplet size-distributions evolve spontaneously towards power laws with the Apollonian exponent. Small-Angle X-Ray Scattering performed on aged HIPEs demonstrated that the droplet packing structure","authors_text":"Bernard Cabane, Lewis Sharpnack, Robert Botet, Sylvie Kwok","cross_cats":["cond-mat.mtrl-sci","physics.chem-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2019-08-21T14:04:39Z","title":"Apollonian Packing in Polydisperse Emulsions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.07881","kind":"arxiv","version":3},"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":"sha256:32a51a39057c5b65364f0980e6a1dcd8661b19eaff664177718651caff170e58","target":"record","created_at":"2026-07-05T00:47:58Z","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":"6c701db3be3129202259dd582588808bbd56f8af77f10334678ee1c979daa1cb","cross_cats_sorted":["cond-mat.mtrl-sci","physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2019-08-21T14:04:39Z","title_canon_sha256":"404250787bc5b177e6f7d4eb2f4cc8fae7c4eecafa8fa96402dc0697fe1ad983"},"schema_version":"1.0","source":{"id":"1908.07881","kind":"arxiv","version":3}},"canonical_sha256":"0f0c64c486a3bb768b92026fa729d421adcaa08083feda40f578920f4ccbbe11","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f0c64c486a3bb768b92026fa729d421adcaa08083feda40f578920f4ccbbe11","first_computed_at":"2026-07-05T00:47:58.844838Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:47:58.844838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"++PCPVrHyqZx14+AscrSWq+b4BlemkF/bGwb1DiKFAbTyopscKb1RvnkzpMRZLIpYQOzv5CZN7E+JDNbkaLHAA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:47:58.845246Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.07881","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32a51a39057c5b65364f0980e6a1dcd8661b19eaff664177718651caff170e58","sha256:faabadd26535a8cb76c95780224043511b0bb3174afe03eeb9460396dedac061"],"state_sha256":"4b64f93a8fed44147f1805230202ba1ffe6e59afc02b0ebad968572930ff3de7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LqI2PPH9h+xpQFC0MppIRdV+HpqfNKc0qgcV2NJtxDRaYiwWutKorGJDzpLkuc2cSQU5FR9pVYs45vOyREigDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T07:25:03.698191Z","bundle_sha256":"7a36685e641a913084548ba8e5c93793dca9386d478b9e17a31cf77aa1aa64ae"}}