{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:HL5DM7HCGO35LGILYOHWYIB7ZJ","short_pith_number":"pith:HL5DM7HC","canonical_record":{"source":{"id":"1006.3569","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-06-17T21:12:34Z","cross_cats_sorted":["physics.bio-ph","physics.flu-dyn"],"title_canon_sha256":"f48cc7a7fa1d0a02ee747e4fac134a764af52437afea4ab4e44bb1844694b6c1","abstract_canon_sha256":"8c47f3cea7564a3dc7434dd189d086b01f8b8213a764eaa0e5b8413cd2fe086b"},"schema_version":"1.0"},"canonical_sha256":"3afa367ce233b7d5990bc38f6c203fca5b8144615cf46c92d8dade40b5ea6874","source":{"kind":"arxiv","id":"1006.3569","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.3569","created_at":"2026-05-18T04:36:49Z"},{"alias_kind":"arxiv_version","alias_value":"1006.3569v4","created_at":"2026-05-18T04:36:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.3569","created_at":"2026-05-18T04:36:49Z"},{"alias_kind":"pith_short_12","alias_value":"HL5DM7HCGO35","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HL5DM7HCGO35LGIL","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HL5DM7HC","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:HL5DM7HCGO35LGILYOHWYIB7ZJ","target":"record","payload":{"canonical_record":{"source":{"id":"1006.3569","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-06-17T21:12:34Z","cross_cats_sorted":["physics.bio-ph","physics.flu-dyn"],"title_canon_sha256":"f48cc7a7fa1d0a02ee747e4fac134a764af52437afea4ab4e44bb1844694b6c1","abstract_canon_sha256":"8c47f3cea7564a3dc7434dd189d086b01f8b8213a764eaa0e5b8413cd2fe086b"},"schema_version":"1.0"},"canonical_sha256":"3afa367ce233b7d5990bc38f6c203fca5b8144615cf46c92d8dade40b5ea6874","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:36:49.128788Z","signature_b64":"bBxx+PAHvKsGBNpEWAnp2sWv4wMYxFc+XmkctaznhKXKK3YJL4+t21FIWpvKwTsv74ZkYFaeKMyqmeJONiAXCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3afa367ce233b7d5990bc38f6c203fca5b8144615cf46c92d8dade40b5ea6874","last_reissued_at":"2026-05-18T04:36:49.128240Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:36:49.128240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.3569","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:36:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j5G+fCHAVRenHuuhEPqvi5ADN6/LSHU1oMcg8lFVhEnZHddEU6a+I/5aNGAaEwI99CiYaQ7pjYLOd9VQsQ9aBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:09:57.046255Z"},"content_sha256":"850b0b1e337acc7ff6dc23755ae069ce35972e3991650c01b2460356046fcb70","schema_version":"1.0","event_id":"sha256:850b0b1e337acc7ff6dc23755ae069ce35972e3991650c01b2460356046fcb70"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:HL5DM7HCGO35LGILYOHWYIB7ZJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Correlated dynamics of inclusions in a supported membrane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.bio-ph","physics.flu-dyn"],"primary_cat":"cond-mat.soft","authors_text":"Haim Diamant, Naomi Oppenheimer","submitted_at":"2010-06-17T21:12:34Z","abstract_excerpt":"The hydrodynamic theory of heterogeneous fluid membranes is extended to the case of a membrane adjacent to a solid substrate. We derive the coupling diffusion coefficients of pairs of membrane inclusions in the limit of large separation compared to the inclusion size. Two-dimensional compressive stresses in the membrane make the coupling coefficients decay asymptotically as $1/r^2$ with interparticle distance $r$. For the common case, where the distance to the substrate is of sub-micron scale, we present expressions for the coupling between distant disklike inclusions, which are valid for arbi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.3569","kind":"arxiv","version":4},"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":"2026-05-18T04:36:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GFXbiYLrflW6dCJBkEkXh3e9HntXJNd9r8rzs8NjjQ+8oN90Ds1bDC4MzFrOL/C+DaVj8bJvTGK7QXSHiDz2CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:09:57.046908Z"},"content_sha256":"344f0d015b14c6364c34bb24f9820616f9e3dbda80fa6fdfc9301087b8ae64d6","schema_version":"1.0","event_id":"sha256:344f0d015b14c6364c34bb24f9820616f9e3dbda80fa6fdfc9301087b8ae64d6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HL5DM7HCGO35LGILYOHWYIB7ZJ/bundle.json","state_url":"https://pith.science/pith/HL5DM7HCGO35LGILYOHWYIB7ZJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HL5DM7HCGO35LGILYOHWYIB7ZJ/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":"2026-05-30T08:09:57Z","links":{"resolver":"https://pith.science/pith/HL5DM7HCGO35LGILYOHWYIB7ZJ","bundle":"https://pith.science/pith/HL5DM7HCGO35LGILYOHWYIB7ZJ/bundle.json","state":"https://pith.science/pith/HL5DM7HCGO35LGILYOHWYIB7ZJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HL5DM7HCGO35LGILYOHWYIB7ZJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:HL5DM7HCGO35LGILYOHWYIB7ZJ","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":"8c47f3cea7564a3dc7434dd189d086b01f8b8213a764eaa0e5b8413cd2fe086b","cross_cats_sorted":["physics.bio-ph","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-06-17T21:12:34Z","title_canon_sha256":"f48cc7a7fa1d0a02ee747e4fac134a764af52437afea4ab4e44bb1844694b6c1"},"schema_version":"1.0","source":{"id":"1006.3569","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.3569","created_at":"2026-05-18T04:36:49Z"},{"alias_kind":"arxiv_version","alias_value":"1006.3569v4","created_at":"2026-05-18T04:36:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.3569","created_at":"2026-05-18T04:36:49Z"},{"alias_kind":"pith_short_12","alias_value":"HL5DM7HCGO35","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HL5DM7HCGO35LGIL","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HL5DM7HC","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:344f0d015b14c6364c34bb24f9820616f9e3dbda80fa6fdfc9301087b8ae64d6","target":"graph","created_at":"2026-05-18T04:36:49Z","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 hydrodynamic theory of heterogeneous fluid membranes is extended to the case of a membrane adjacent to a solid substrate. We derive the coupling diffusion coefficients of pairs of membrane inclusions in the limit of large separation compared to the inclusion size. Two-dimensional compressive stresses in the membrane make the coupling coefficients decay asymptotically as $1/r^2$ with interparticle distance $r$. For the common case, where the distance to the substrate is of sub-micron scale, we present expressions for the coupling between distant disklike inclusions, which are valid for arbi","authors_text":"Haim Diamant, Naomi Oppenheimer","cross_cats":["physics.bio-ph","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-06-17T21:12:34Z","title":"Correlated dynamics of inclusions in a supported membrane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.3569","kind":"arxiv","version":4},"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":"sha256:850b0b1e337acc7ff6dc23755ae069ce35972e3991650c01b2460356046fcb70","target":"record","created_at":"2026-05-18T04:36:49Z","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":"8c47f3cea7564a3dc7434dd189d086b01f8b8213a764eaa0e5b8413cd2fe086b","cross_cats_sorted":["physics.bio-ph","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2010-06-17T21:12:34Z","title_canon_sha256":"f48cc7a7fa1d0a02ee747e4fac134a764af52437afea4ab4e44bb1844694b6c1"},"schema_version":"1.0","source":{"id":"1006.3569","kind":"arxiv","version":4}},"canonical_sha256":"3afa367ce233b7d5990bc38f6c203fca5b8144615cf46c92d8dade40b5ea6874","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3afa367ce233b7d5990bc38f6c203fca5b8144615cf46c92d8dade40b5ea6874","first_computed_at":"2026-05-18T04:36:49.128240Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:36:49.128240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bBxx+PAHvKsGBNpEWAnp2sWv4wMYxFc+XmkctaznhKXKK3YJL4+t21FIWpvKwTsv74ZkYFaeKMyqmeJONiAXCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:36:49.128788Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.3569","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:850b0b1e337acc7ff6dc23755ae069ce35972e3991650c01b2460356046fcb70","sha256:344f0d015b14c6364c34bb24f9820616f9e3dbda80fa6fdfc9301087b8ae64d6"],"state_sha256":"2b21a6793b556a825422caefff0d09a816eff3f7c3f9f1a41d7755970bcd892b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qbKWXfAUyavkrPPqrJTW17U4ylTjNJQhUVA9jjTQNscVXGrzDyeJRVrZwawoscEozjImkcBLE/s5nf4L2f11CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T08:09:57.050022Z","bundle_sha256":"2e4fddc795f3da62178f297fc5d84305fc2e0f2bb29dcda5849e3795e47025d0"}}