{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:AJMDYJR77KQIN2WQXQZDNZ2ZG5","short_pith_number":"pith:AJMDYJR7","canonical_record":{"source":{"id":"1606.06583","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-06-21T14:13:21Z","cross_cats_sorted":[],"title_canon_sha256":"1550cfa474e02cf90d5b455a254b08a4a7eef2f8ac99581cdc5a382c22b8a282","abstract_canon_sha256":"8b5850e359e3699a2a4e797a4d9c09b9ef847355aedfc5f1182ae2a0d75c8889"},"schema_version":"1.0"},"canonical_sha256":"02583c263ffaa086ead0bc3236e75937797fa0ca43b70933c4b8c181ab99197b","source":{"kind":"arxiv","id":"1606.06583","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.06583","created_at":"2026-05-18T01:11:47Z"},{"alias_kind":"arxiv_version","alias_value":"1606.06583v1","created_at":"2026-05-18T01:11:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.06583","created_at":"2026-05-18T01:11:47Z"},{"alias_kind":"pith_short_12","alias_value":"AJMDYJR77KQI","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AJMDYJR77KQIN2WQ","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AJMDYJR7","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:AJMDYJR77KQIN2WQXQZDNZ2ZG5","target":"record","payload":{"canonical_record":{"source":{"id":"1606.06583","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-06-21T14:13:21Z","cross_cats_sorted":[],"title_canon_sha256":"1550cfa474e02cf90d5b455a254b08a4a7eef2f8ac99581cdc5a382c22b8a282","abstract_canon_sha256":"8b5850e359e3699a2a4e797a4d9c09b9ef847355aedfc5f1182ae2a0d75c8889"},"schema_version":"1.0"},"canonical_sha256":"02583c263ffaa086ead0bc3236e75937797fa0ca43b70933c4b8c181ab99197b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:47.727424Z","signature_b64":"3yQV4UC+F/9J9koWSTlWkIDpANpHz2TM/PE1uzG5EkdWZpTz5cqnnjthk5op7FFr6KqlSbwaNTGbj5EIZd7VDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"02583c263ffaa086ead0bc3236e75937797fa0ca43b70933c4b8c181ab99197b","last_reissued_at":"2026-05-18T01:11:47.726860Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:47.726860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.06583","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":"2026-05-18T01:11:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kEMZYWVwHRpk/3sdWPouT1eLfBL0eR+RODUJxd6Pw5pprrBg3sa4q+cRkETSC+gSpW/dd2JTQxj+3xxzusp2DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:37:52.689445Z"},"content_sha256":"b0c893402461e088fa73619126a36d6e0663635cbdc9b2264c62a89f3559cd55","schema_version":"1.0","event_id":"sha256:b0c893402461e088fa73619126a36d6e0663635cbdc9b2264c62a89f3559cd55"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:AJMDYJR77KQIN2WQXQZDNZ2ZG5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Domain formation in membranes near the onset of instability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Barbara Zwicknagl, Giovanni Leoni, Gurgen Hayrapetyan, Irene Fonseca","submitted_at":"2016-06-21T14:13:21Z","abstract_excerpt":"The formation of microdomains, also called rafts, in biomembranes can be attributed to the surface tension of the membrane. In order to model this phenomenon, a model involving a coupling between the local composition and the local curvature was proposed by Seul and Andelman in 1995. In addition to the familiar Cahn-Hilliard/Modica-Mortola energy, there are additional `forces' that prevent large domains of homogeneous concentration. This is taken into account by the bending energy of the membrane, which is coupled to the value of the order parameter, and reflects the notion that surface tensio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06583","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":"2026-05-18T01:11:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gnlB3IK59b5Olvn79ZinPr5v1WkWIb86Zk8cYP2OoQoLf0ivobk389NPYKR5aC7g9hUSbH1MBZ7hj5thZgemCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:37:52.689801Z"},"content_sha256":"7b9346cd2eb4b84b709424d1449d87d99d25635bf3e75f5da19a106949b3848b","schema_version":"1.0","event_id":"sha256:7b9346cd2eb4b84b709424d1449d87d99d25635bf3e75f5da19a106949b3848b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AJMDYJR77KQIN2WQXQZDNZ2ZG5/bundle.json","state_url":"https://pith.science/pith/AJMDYJR77KQIN2WQXQZDNZ2ZG5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AJMDYJR77KQIN2WQXQZDNZ2ZG5/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":"2026-05-31T01:37:52Z","links":{"resolver":"https://pith.science/pith/AJMDYJR77KQIN2WQXQZDNZ2ZG5","bundle":"https://pith.science/pith/AJMDYJR77KQIN2WQXQZDNZ2ZG5/bundle.json","state":"https://pith.science/pith/AJMDYJR77KQIN2WQXQZDNZ2ZG5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AJMDYJR77KQIN2WQXQZDNZ2ZG5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AJMDYJR77KQIN2WQXQZDNZ2ZG5","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":"8b5850e359e3699a2a4e797a4d9c09b9ef847355aedfc5f1182ae2a0d75c8889","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-06-21T14:13:21Z","title_canon_sha256":"1550cfa474e02cf90d5b455a254b08a4a7eef2f8ac99581cdc5a382c22b8a282"},"schema_version":"1.0","source":{"id":"1606.06583","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.06583","created_at":"2026-05-18T01:11:47Z"},{"alias_kind":"arxiv_version","alias_value":"1606.06583v1","created_at":"2026-05-18T01:11:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.06583","created_at":"2026-05-18T01:11:47Z"},{"alias_kind":"pith_short_12","alias_value":"AJMDYJR77KQI","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AJMDYJR77KQIN2WQ","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AJMDYJR7","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:7b9346cd2eb4b84b709424d1449d87d99d25635bf3e75f5da19a106949b3848b","target":"graph","created_at":"2026-05-18T01:11:47Z","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":"The formation of microdomains, also called rafts, in biomembranes can be attributed to the surface tension of the membrane. In order to model this phenomenon, a model involving a coupling between the local composition and the local curvature was proposed by Seul and Andelman in 1995. In addition to the familiar Cahn-Hilliard/Modica-Mortola energy, there are additional `forces' that prevent large domains of homogeneous concentration. This is taken into account by the bending energy of the membrane, which is coupled to the value of the order parameter, and reflects the notion that surface tensio","authors_text":"Barbara Zwicknagl, Giovanni Leoni, Gurgen Hayrapetyan, Irene Fonseca","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-06-21T14:13:21Z","title":"Domain formation in membranes near the onset of instability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06583","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:b0c893402461e088fa73619126a36d6e0663635cbdc9b2264c62a89f3559cd55","target":"record","created_at":"2026-05-18T01:11:47Z","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":"8b5850e359e3699a2a4e797a4d9c09b9ef847355aedfc5f1182ae2a0d75c8889","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-06-21T14:13:21Z","title_canon_sha256":"1550cfa474e02cf90d5b455a254b08a4a7eef2f8ac99581cdc5a382c22b8a282"},"schema_version":"1.0","source":{"id":"1606.06583","kind":"arxiv","version":1}},"canonical_sha256":"02583c263ffaa086ead0bc3236e75937797fa0ca43b70933c4b8c181ab99197b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02583c263ffaa086ead0bc3236e75937797fa0ca43b70933c4b8c181ab99197b","first_computed_at":"2026-05-18T01:11:47.726860Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:47.726860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3yQV4UC+F/9J9koWSTlWkIDpANpHz2TM/PE1uzG5EkdWZpTz5cqnnjthk5op7FFr6KqlSbwaNTGbj5EIZd7VDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:47.727424Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.06583","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0c893402461e088fa73619126a36d6e0663635cbdc9b2264c62a89f3559cd55","sha256:7b9346cd2eb4b84b709424d1449d87d99d25635bf3e75f5da19a106949b3848b"],"state_sha256":"8a15c8e3e483835e96ad61261c21b19046cbb1f21227d9652ac19e3ec0ec00d2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z0rmwm/miI5VyOWMgPJFmBpQQg3p1pecba5rWXPEAuJEIroBe8pbPWXImsNWL2XTM2izUFrFSw7Jj6+141jWAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T01:37:52.691803Z","bundle_sha256":"3b2b8848a703b9ce39f00c8a2e3193240fda151384a1e411ad937c15dfd105c6"}}