{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:U5HSGXHM64WP2MQYKS6IE62SGA","short_pith_number":"pith:U5HSGXHM","canonical_record":{"source":{"id":"1609.02081","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2016-09-03T20:03:02Z","cross_cats_sorted":[],"title_canon_sha256":"ceaeafcca08e79dd51c9f7ce28ec3ae8c53790b245a9bb465212252c338ce027","abstract_canon_sha256":"235746b150b507750d5f4dc5542c79e3155882b0ae9740e27b27f6528a7158f0"},"schema_version":"1.0"},"canonical_sha256":"a74f235cecf72cfd321854bc827b52303552b79c06c2cf8748e46baaa64a91b2","source":{"kind":"arxiv","id":"1609.02081","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.02081","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"arxiv_version","alias_value":"1609.02081v1","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.02081","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"pith_short_12","alias_value":"U5HSGXHM64WP","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"U5HSGXHM64WP2MQY","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"U5HSGXHM","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:U5HSGXHM64WP2MQYKS6IE62SGA","target":"record","payload":{"canonical_record":{"source":{"id":"1609.02081","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2016-09-03T20:03:02Z","cross_cats_sorted":[],"title_canon_sha256":"ceaeafcca08e79dd51c9f7ce28ec3ae8c53790b245a9bb465212252c338ce027","abstract_canon_sha256":"235746b150b507750d5f4dc5542c79e3155882b0ae9740e27b27f6528a7158f0"},"schema_version":"1.0"},"canonical_sha256":"a74f235cecf72cfd321854bc827b52303552b79c06c2cf8748e46baaa64a91b2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:09.210808Z","signature_b64":"dwCsRwR1Npf1vOLYD3iL4XXXFMEJPAEFBIiO51SjL9Gu0xfKpDktyz1rSKpWBfiuTvQKPW6DMac9UpaIAhaHDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a74f235cecf72cfd321854bc827b52303552b79c06c2cf8748e46baaa64a91b2","last_reissued_at":"2026-05-18T01:05:09.210138Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:09.210138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.02081","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":"2026-05-18T01:05:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+4vZEEvsGh/LnqDZVhVOQ07RB35eNXPHoL8uoVg3mQi0qbgpxKTBzx7Vznfinbiyl2srNbfKg1DW+3bsav6PBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T18:00:56.697518Z"},"content_sha256":"1b463ac591da73a745de9903363e7efa76b5be4ddfd397a189289d14998bba9c","schema_version":"1.0","event_id":"sha256:1b463ac591da73a745de9903363e7efa76b5be4ddfd397a189289d14998bba9c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:U5HSGXHM64WP2MQYKS6IE62SGA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Investigation into the Mathematical Nature of Electrophysiological Signals with Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.NC","authors_text":"Anagh Pathak, Kaushik Majumdar, Viswadeep Sarangi","submitted_at":"2016-09-03T20:03:02Z","abstract_excerpt":"In this work we have proposed a rigorous mathematical definition for the one dimensional time domain electrophysiological signals and established its relationship with two of the three Dirichlet's conditions. We have argues that any such signal can be represented as the trajectory of a particle moving in a force field with one degree of freedom. At point on the trajectory, that is, on the signal, the kinetic energy dissipated by the particle embeds semantic information into the trajectory or the signal in terms of giving its shape. We have shown that the rate of kinetic energy dissipation oper"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.02081","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":"2026-05-18T01:05:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h81VYG582vmtTMvZ/Ghfyzwrb0DtFKls4X89mVhJTXVB+VT3Wx9eI3L2IXM+QDFMgf16uAdqkfDM+6ffbkBRBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T18:00:56.698334Z"},"content_sha256":"8b8447ac602cb2007f051b72e368faf3b11ca08ab6746b788389933aa89971d4","schema_version":"1.0","event_id":"sha256:8b8447ac602cb2007f051b72e368faf3b11ca08ab6746b788389933aa89971d4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U5HSGXHM64WP2MQYKS6IE62SGA/bundle.json","state_url":"https://pith.science/pith/U5HSGXHM64WP2MQYKS6IE62SGA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U5HSGXHM64WP2MQYKS6IE62SGA/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":"2026-06-08T18:00:56Z","links":{"resolver":"https://pith.science/pith/U5HSGXHM64WP2MQYKS6IE62SGA","bundle":"https://pith.science/pith/U5HSGXHM64WP2MQYKS6IE62SGA/bundle.json","state":"https://pith.science/pith/U5HSGXHM64WP2MQYKS6IE62SGA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U5HSGXHM64WP2MQYKS6IE62SGA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:U5HSGXHM64WP2MQYKS6IE62SGA","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":"235746b150b507750d5f4dc5542c79e3155882b0ae9740e27b27f6528a7158f0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2016-09-03T20:03:02Z","title_canon_sha256":"ceaeafcca08e79dd51c9f7ce28ec3ae8c53790b245a9bb465212252c338ce027"},"schema_version":"1.0","source":{"id":"1609.02081","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.02081","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"arxiv_version","alias_value":"1609.02081v1","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.02081","created_at":"2026-05-18T01:05:09Z"},{"alias_kind":"pith_short_12","alias_value":"U5HSGXHM64WP","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"U5HSGXHM64WP2MQY","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"U5HSGXHM","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:8b8447ac602cb2007f051b72e368faf3b11ca08ab6746b788389933aa89971d4","target":"graph","created_at":"2026-05-18T01:05:09Z","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":"In this work we have proposed a rigorous mathematical definition for the one dimensional time domain electrophysiological signals and established its relationship with two of the three Dirichlet's conditions. We have argues that any such signal can be represented as the trajectory of a particle moving in a force field with one degree of freedom. At point on the trajectory, that is, on the signal, the kinetic energy dissipated by the particle embeds semantic information into the trajectory or the signal in terms of giving its shape. We have shown that the rate of kinetic energy dissipation oper","authors_text":"Anagh Pathak, Kaushik Majumdar, Viswadeep Sarangi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2016-09-03T20:03:02Z","title":"An Investigation into the Mathematical Nature of Electrophysiological Signals with Applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.02081","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":"sha256:1b463ac591da73a745de9903363e7efa76b5be4ddfd397a189289d14998bba9c","target":"record","created_at":"2026-05-18T01:05:09Z","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":"235746b150b507750d5f4dc5542c79e3155882b0ae9740e27b27f6528a7158f0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2016-09-03T20:03:02Z","title_canon_sha256":"ceaeafcca08e79dd51c9f7ce28ec3ae8c53790b245a9bb465212252c338ce027"},"schema_version":"1.0","source":{"id":"1609.02081","kind":"arxiv","version":1}},"canonical_sha256":"a74f235cecf72cfd321854bc827b52303552b79c06c2cf8748e46baaa64a91b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a74f235cecf72cfd321854bc827b52303552b79c06c2cf8748e46baaa64a91b2","first_computed_at":"2026-05-18T01:05:09.210138Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:09.210138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dwCsRwR1Npf1vOLYD3iL4XXXFMEJPAEFBIiO51SjL9Gu0xfKpDktyz1rSKpWBfiuTvQKPW6DMac9UpaIAhaHDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:09.210808Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.02081","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1b463ac591da73a745de9903363e7efa76b5be4ddfd397a189289d14998bba9c","sha256:8b8447ac602cb2007f051b72e368faf3b11ca08ab6746b788389933aa89971d4"],"state_sha256":"5f1ab104909a6e4d2bd204b8ecf8fb58d782086185d42243ed7647becd610314"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0k5N9zqmwCdGV5IQ9OxxwCve0u4VY5DfKbM/ziX6ITdCoMhEz3zgbQTn1aSlFT+KFhr3lwGvb9uRQRI8vFRvBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T18:00:56.701968Z","bundle_sha256":"4e8d0607f9c280f9ca2238b6265710f720b5845c32c84130fc645d34801ba708"}}