{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:JYHGBP2JPD4FTCOEW6SZIWSOZZ","short_pith_number":"pith:JYHGBP2J","canonical_record":{"source":{"id":"1310.1292","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-04T14:36:33Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"78f5312c6e7088abb817a11f6067f53069abc08dec0bf8f2cad47757e8a0a8cd","abstract_canon_sha256":"855f8d9b835de62e131af8dcb832e3732057f37b6a2558befdf543cc5d284d93"},"schema_version":"1.0"},"canonical_sha256":"4e0e60bf4978f85989c4b7a5945a4ece6dce2838f37b2d51e3765e8d190586d1","source":{"kind":"arxiv","id":"1310.1292","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1292","created_at":"2026-05-18T03:11:22Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1292v1","created_at":"2026-05-18T03:11:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1292","created_at":"2026-05-18T03:11:22Z"},{"alias_kind":"pith_short_12","alias_value":"JYHGBP2JPD4F","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JYHGBP2JPD4FTCOE","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JYHGBP2J","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:JYHGBP2JPD4FTCOEW6SZIWSOZZ","target":"record","payload":{"canonical_record":{"source":{"id":"1310.1292","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-04T14:36:33Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"78f5312c6e7088abb817a11f6067f53069abc08dec0bf8f2cad47757e8a0a8cd","abstract_canon_sha256":"855f8d9b835de62e131af8dcb832e3732057f37b6a2558befdf543cc5d284d93"},"schema_version":"1.0"},"canonical_sha256":"4e0e60bf4978f85989c4b7a5945a4ece6dce2838f37b2d51e3765e8d190586d1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:11:22.933024Z","signature_b64":"U0PMBmZuPSVGq+NHgpQ4gprVy24KiidEFBbd7uU+sH7dZ2IhON2Zi1Bc8YA/J6ffvYEdy18cR9tieJSsU6gKDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e0e60bf4978f85989c4b7a5945a4ece6dce2838f37b2d51e3765e8d190586d1","last_reissued_at":"2026-05-18T03:11:22.932259Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:11:22.932259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.1292","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":"2026-05-18T03:11:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QF6MAKu7e0pZKGboj7RTcaH7WJxTjYkBAcmzE6axQtA8K9k1LyFUTiqF23/Lco9lx2s7ijSrFU9lBvJkAMTdDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T01:34:37.787205Z"},"content_sha256":"76a820028ecd691b57e369d34c360175d38088173e8b26c04b6ae1a8d9f44c3a","schema_version":"1.0","event_id":"sha256:76a820028ecd691b57e369d34c360175d38088173e8b26c04b6ae1a8d9f44c3a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:JYHGBP2JPD4FTCOEW6SZIWSOZZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spectroscopic imaging of a dilute cell suspension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Habib Ammari, Jin-Keun Seo, Josselin Garnier, Laure Giovangigli, Wenjia Jing","submitted_at":"2013-10-04T14:36:33Z","abstract_excerpt":"A rigorous homogenization theory is derived to describe the effective admittivity of cell suspensions. A new formula is reported for dilute cases that gives the frequency-dependent effective admittivity with respect to the membrane polarization. Different microstructures are shown to be distinguishable via spectroscopic measurements of the overall admittivity using the spectral properties of the membrane polarization. The Debye relaxation times associated with the membrane polarization tensor are shown to be able to give the microscopic structure of the medium. A natural measure of the admitti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1292","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":"2026-05-18T03:11:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NqKdsPt7SjXF7d1Vuus9kTsdFiReRcAZdHVb2LDRcGRbrOziHH/vnFjwN4rQd+yL76TtHw5uE6K2eu2DPuSADQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T01:34:37.787573Z"},"content_sha256":"1a0594fec22c33921d5027e0fcd2afa7c41b5fc71e487205cba095cbf9e93745","schema_version":"1.0","event_id":"sha256:1a0594fec22c33921d5027e0fcd2afa7c41b5fc71e487205cba095cbf9e93745"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JYHGBP2JPD4FTCOEW6SZIWSOZZ/bundle.json","state_url":"https://pith.science/pith/JYHGBP2JPD4FTCOEW6SZIWSOZZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JYHGBP2JPD4FTCOEW6SZIWSOZZ/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":"2026-05-28T01:34:37Z","links":{"resolver":"https://pith.science/pith/JYHGBP2JPD4FTCOEW6SZIWSOZZ","bundle":"https://pith.science/pith/JYHGBP2JPD4FTCOEW6SZIWSOZZ/bundle.json","state":"https://pith.science/pith/JYHGBP2JPD4FTCOEW6SZIWSOZZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JYHGBP2JPD4FTCOEW6SZIWSOZZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:JYHGBP2JPD4FTCOEW6SZIWSOZZ","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":"855f8d9b835de62e131af8dcb832e3732057f37b6a2558befdf543cc5d284d93","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-04T14:36:33Z","title_canon_sha256":"78f5312c6e7088abb817a11f6067f53069abc08dec0bf8f2cad47757e8a0a8cd"},"schema_version":"1.0","source":{"id":"1310.1292","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1292","created_at":"2026-05-18T03:11:22Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1292v1","created_at":"2026-05-18T03:11:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1292","created_at":"2026-05-18T03:11:22Z"},{"alias_kind":"pith_short_12","alias_value":"JYHGBP2JPD4F","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JYHGBP2JPD4FTCOE","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JYHGBP2J","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:1a0594fec22c33921d5027e0fcd2afa7c41b5fc71e487205cba095cbf9e93745","target":"graph","created_at":"2026-05-18T03:11:22Z","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":"A rigorous homogenization theory is derived to describe the effective admittivity of cell suspensions. A new formula is reported for dilute cases that gives the frequency-dependent effective admittivity with respect to the membrane polarization. Different microstructures are shown to be distinguishable via spectroscopic measurements of the overall admittivity using the spectral properties of the membrane polarization. The Debye relaxation times associated with the membrane polarization tensor are shown to be able to give the microscopic structure of the medium. A natural measure of the admitti","authors_text":"Habib Ammari, Jin-Keun Seo, Josselin Garnier, Laure Giovangigli, Wenjia Jing","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-04T14:36:33Z","title":"Spectroscopic imaging of a dilute cell suspension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1292","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":"sha256:76a820028ecd691b57e369d34c360175d38088173e8b26c04b6ae1a8d9f44c3a","target":"record","created_at":"2026-05-18T03:11:22Z","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":"855f8d9b835de62e131af8dcb832e3732057f37b6a2558befdf543cc5d284d93","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-04T14:36:33Z","title_canon_sha256":"78f5312c6e7088abb817a11f6067f53069abc08dec0bf8f2cad47757e8a0a8cd"},"schema_version":"1.0","source":{"id":"1310.1292","kind":"arxiv","version":1}},"canonical_sha256":"4e0e60bf4978f85989c4b7a5945a4ece6dce2838f37b2d51e3765e8d190586d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e0e60bf4978f85989c4b7a5945a4ece6dce2838f37b2d51e3765e8d190586d1","first_computed_at":"2026-05-18T03:11:22.932259Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:22.932259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U0PMBmZuPSVGq+NHgpQ4gprVy24KiidEFBbd7uU+sH7dZ2IhON2Zi1Bc8YA/J6ffvYEdy18cR9tieJSsU6gKDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:22.933024Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.1292","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76a820028ecd691b57e369d34c360175d38088173e8b26c04b6ae1a8d9f44c3a","sha256:1a0594fec22c33921d5027e0fcd2afa7c41b5fc71e487205cba095cbf9e93745"],"state_sha256":"8079c2213fb639afbdd56454cc369084f35aaa194cd8b2cf7ab3322dbd68b73e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"REUGWzTQuIfj4GM/m4abFXhS1brrSFKK1wgnEBbov3OIdmugMZP+loJjIFZAsYm/Hb+HfMba2afIrQ4W74CACg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T01:34:37.789774Z","bundle_sha256":"88d0395c8c0228dc306f0df18a2816d2ec54b62a98c43c45160d9dbe26e05b9e"}}