{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:23F6DSW7UXVDGEZDH66YWNJSRY","short_pith_number":"pith:23F6DSW7","canonical_record":{"source":{"id":"1405.2481","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-05-11T00:23:25Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"c036022965817479da955d519d63afb644adc32369db0b77a11247fffa40de21","abstract_canon_sha256":"509478a1835a8922ab028e82d9ffd06b56471502c1ea01f61c267ca179d1496c"},"schema_version":"1.0"},"canonical_sha256":"d6cbe1cadfa5ea3313233fbd8b35328e3edb44f2c896ba32d374d1eb18e9d5fd","source":{"kind":"arxiv","id":"1405.2481","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.2481","created_at":"2026-05-18T02:52:05Z"},{"alias_kind":"arxiv_version","alias_value":"1405.2481v1","created_at":"2026-05-18T02:52:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.2481","created_at":"2026-05-18T02:52:05Z"},{"alias_kind":"pith_short_12","alias_value":"23F6DSW7UXVD","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"23F6DSW7UXVDGEZD","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"23F6DSW7","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:23F6DSW7UXVDGEZDH66YWNJSRY","target":"record","payload":{"canonical_record":{"source":{"id":"1405.2481","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-05-11T00:23:25Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"c036022965817479da955d519d63afb644adc32369db0b77a11247fffa40de21","abstract_canon_sha256":"509478a1835a8922ab028e82d9ffd06b56471502c1ea01f61c267ca179d1496c"},"schema_version":"1.0"},"canonical_sha256":"d6cbe1cadfa5ea3313233fbd8b35328e3edb44f2c896ba32d374d1eb18e9d5fd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:05.430195Z","signature_b64":"gPKwAITgV8iIA3lNAQuF4+bk+7iMrkOakS6mI/RPeos9fmUD6PgCNDo9rWyd+YPL4HAJ/p/k2H/OntkLUXkvBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6cbe1cadfa5ea3313233fbd8b35328e3edb44f2c896ba32d374d1eb18e9d5fd","last_reissued_at":"2026-05-18T02:52:05.429801Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:05.429801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.2481","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":"2026-05-18T02:52:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"37hrKEVqGxG6FrmiAdpENB/yR/7ftREEOm37AZCLvLJAXF159wBPnmJVli5LeGVU3JZXlsWeEu3jZ47esMcsAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T15:02:10.872081Z"},"content_sha256":"5c24a48c09cf6b9da0a3d7dbf57478c1347165f3589d0a2718152c8c602bea0f","schema_version":"1.0","event_id":"sha256:5c24a48c09cf6b9da0a3d7dbf57478c1347165f3589d0a2718152c8c602bea0f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:23F6DSW7UXVDGEZDH66YWNJSRY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dendrites and conformal symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Carlos Trenado, Juan M. Romero","submitted_at":"2014-05-11T00:23:25Z","abstract_excerpt":"Progress toward characterization of structural and biophysical properties of neural dendrites together with recent findings emphasizing their role in neural computation, has propelled growing interest in refining existing theoretical models of electrical propagation in dendrites while advocating novel analytic tools. In this paper we focus on the cable equation describing electric propagation in dendrites with different geometry. When the geometry is cylindrical we show that the cable equation is invariant under the Schr\\\"odinger group and by using the dendrite parameters, a representation of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.2481","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":"2026-05-18T02:52:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+pYzxoglExgpthHJ1HZCuqoP+om4X3gSZpvbaekCqiN1D7ykEHZEL9kR52qHotZOFz9Usbg/eUyB8RYccHn3BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T15:02:10.872950Z"},"content_sha256":"0040f1b9ec38b4e1bda166ca97f381c1d2880da3801aef32be1c21dc3e174bd2","schema_version":"1.0","event_id":"sha256:0040f1b9ec38b4e1bda166ca97f381c1d2880da3801aef32be1c21dc3e174bd2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/23F6DSW7UXVDGEZDH66YWNJSRY/bundle.json","state_url":"https://pith.science/pith/23F6DSW7UXVDGEZDH66YWNJSRY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/23F6DSW7UXVDGEZDH66YWNJSRY/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":"2026-05-31T15:02:10Z","links":{"resolver":"https://pith.science/pith/23F6DSW7UXVDGEZDH66YWNJSRY","bundle":"https://pith.science/pith/23F6DSW7UXVDGEZDH66YWNJSRY/bundle.json","state":"https://pith.science/pith/23F6DSW7UXVDGEZDH66YWNJSRY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/23F6DSW7UXVDGEZDH66YWNJSRY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:23F6DSW7UXVDGEZDH66YWNJSRY","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":"509478a1835a8922ab028e82d9ffd06b56471502c1ea01f61c267ca179d1496c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-05-11T00:23:25Z","title_canon_sha256":"c036022965817479da955d519d63afb644adc32369db0b77a11247fffa40de21"},"schema_version":"1.0","source":{"id":"1405.2481","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.2481","created_at":"2026-05-18T02:52:05Z"},{"alias_kind":"arxiv_version","alias_value":"1405.2481v1","created_at":"2026-05-18T02:52:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.2481","created_at":"2026-05-18T02:52:05Z"},{"alias_kind":"pith_short_12","alias_value":"23F6DSW7UXVD","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"23F6DSW7UXVDGEZD","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"23F6DSW7","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:0040f1b9ec38b4e1bda166ca97f381c1d2880da3801aef32be1c21dc3e174bd2","target":"graph","created_at":"2026-05-18T02:52:05Z","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":"Progress toward characterization of structural and biophysical properties of neural dendrites together with recent findings emphasizing their role in neural computation, has propelled growing interest in refining existing theoretical models of electrical propagation in dendrites while advocating novel analytic tools. In this paper we focus on the cable equation describing electric propagation in dendrites with different geometry. When the geometry is cylindrical we show that the cable equation is invariant under the Schr\\\"odinger group and by using the dendrite parameters, a representation of ","authors_text":"Carlos Trenado, Juan M. Romero","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-05-11T00:23:25Z","title":"Dendrites and conformal symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.2481","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":"sha256:5c24a48c09cf6b9da0a3d7dbf57478c1347165f3589d0a2718152c8c602bea0f","target":"record","created_at":"2026-05-18T02:52:05Z","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":"509478a1835a8922ab028e82d9ffd06b56471502c1ea01f61c267ca179d1496c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-05-11T00:23:25Z","title_canon_sha256":"c036022965817479da955d519d63afb644adc32369db0b77a11247fffa40de21"},"schema_version":"1.0","source":{"id":"1405.2481","kind":"arxiv","version":1}},"canonical_sha256":"d6cbe1cadfa5ea3313233fbd8b35328e3edb44f2c896ba32d374d1eb18e9d5fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6cbe1cadfa5ea3313233fbd8b35328e3edb44f2c896ba32d374d1eb18e9d5fd","first_computed_at":"2026-05-18T02:52:05.429801Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:05.429801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gPKwAITgV8iIA3lNAQuF4+bk+7iMrkOakS6mI/RPeos9fmUD6PgCNDo9rWyd+YPL4HAJ/p/k2H/OntkLUXkvBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:05.430195Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.2481","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c24a48c09cf6b9da0a3d7dbf57478c1347165f3589d0a2718152c8c602bea0f","sha256:0040f1b9ec38b4e1bda166ca97f381c1d2880da3801aef32be1c21dc3e174bd2"],"state_sha256":"7a2a68c0eaf9dab861af98ff6ba193d19923a6a42cee2976c6883e00f40a2c20"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8VlE0IdVu1OCF9m8f5FM6wWXjCidyECZXBOr1lrmjqVOomIZlNmSGNpC8l/LRDzldPgmYgUsGF1/w/Lw1EByDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T15:02:10.879573Z","bundle_sha256":"d61c27cd843c38bbbac3b2d4a489c35d9d7cdaa2bf2b627a9e083b9f004c133f"}}