{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:GZVNED4NP3UMVYM4X25ETTWDI7","short_pith_number":"pith:GZVNED4N","canonical_record":{"source":{"id":"2001.11432","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2020-01-30T16:24:23Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"fbeef00267fa6fdb3db8ce7b179be75b84a84b0a18aca7c7eeba20f62a8549b8","abstract_canon_sha256":"aa6cd4e3d80fe95cffcd0f9fb1a5022c7a0e953ea9a13f964b58bbeaba5fbf6d"},"schema_version":"1.0"},"canonical_sha256":"366ad20f8d7ee8cae19cbeba49cec347e6c9e27991dcaad568ee9d5a3454ea9e","source":{"kind":"arxiv","id":"2001.11432","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2001.11432","created_at":"2026-07-05T01:59:54Z"},{"alias_kind":"arxiv_version","alias_value":"2001.11432v2","created_at":"2026-07-05T01:59:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.11432","created_at":"2026-07-05T01:59:54Z"},{"alias_kind":"pith_short_12","alias_value":"GZVNED4NP3UM","created_at":"2026-07-05T01:59:54Z"},{"alias_kind":"pith_short_16","alias_value":"GZVNED4NP3UMVYM4","created_at":"2026-07-05T01:59:54Z"},{"alias_kind":"pith_short_8","alias_value":"GZVNED4N","created_at":"2026-07-05T01:59:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:GZVNED4NP3UMVYM4X25ETTWDI7","target":"record","payload":{"canonical_record":{"source":{"id":"2001.11432","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2020-01-30T16:24:23Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"fbeef00267fa6fdb3db8ce7b179be75b84a84b0a18aca7c7eeba20f62a8549b8","abstract_canon_sha256":"aa6cd4e3d80fe95cffcd0f9fb1a5022c7a0e953ea9a13f964b58bbeaba5fbf6d"},"schema_version":"1.0"},"canonical_sha256":"366ad20f8d7ee8cae19cbeba49cec347e6c9e27991dcaad568ee9d5a3454ea9e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:59:54.743014Z","signature_b64":"OjrvW+jJ48VD4zRQKpDRr4Ce0bHHE06q09xquyArzsbOr48Puv4ZIqYw2cBod0uXMqbVuL8UFiNhMRmZPOfgDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"366ad20f8d7ee8cae19cbeba49cec347e6c9e27991dcaad568ee9d5a3454ea9e","last_reissued_at":"2026-07-05T01:59:54.742589Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:59:54.742589Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2001.11432","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:59:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9lVUY6PT1pYT/WNO+HZf+h2CO2aYxuWKjyBf9xg4qCPW9KoIzNpMjjPOl2dTf4545vE7t58WAzoUh90q+GGACA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T22:21:51.201463Z"},"content_sha256":"b7ca2e4658f7c0cb3a1921b85c6a7e25d34609dc24f1e4aab0f89291759c559d","schema_version":"1.0","event_id":"sha256:b7ca2e4658f7c0cb3a1921b85c6a7e25d34609dc24f1e4aab0f89291759c559d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:GZVNED4NP3UMVYM4X25ETTWDI7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modeling bursting in neuronal networks using facilitation-depression and afterhyperpolarization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"q-bio.NC","authors_text":"David Holcman, Lou Zonca","submitted_at":"2020-01-30T16:24:23Z","abstract_excerpt":"In the absence of inhibition, excitatory neuronal networks can alternate between bursts and interburst intervals (IBI), with heterogeneous length distributions. As this dynamic remains unclear, especially the durations of each epoch, we develop here a bursting model based on synaptic depression and facilitation that also accounts for afterhyperpolarization (AHP), which is a key component of IBI. The framework is a novel stochastic three dimensional dynamical system perturbed by noise: numerical simulations can reproduce a succession of bursts and interbursts. Each phase corresponds to an explo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.11432","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2001.11432/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T01:59:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hg2CtJz8w3y+pNN+6hJE5EpqhEil/KA68wkf7EUFye6m/9KtTitnBebppKvsDrNU+MUHB8Ng0t8cOMZcwsAgBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T22:21:51.202377Z"},"content_sha256":"df77e64f5f75b9525fe5422016504f36b3631e1fa6998c8775dbdc31330d91d8","schema_version":"1.0","event_id":"sha256:df77e64f5f75b9525fe5422016504f36b3631e1fa6998c8775dbdc31330d91d8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GZVNED4NP3UMVYM4X25ETTWDI7/bundle.json","state_url":"https://pith.science/pith/GZVNED4NP3UMVYM4X25ETTWDI7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GZVNED4NP3UMVYM4X25ETTWDI7/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":"2026-08-10T22:21:51Z","links":{"resolver":"https://pith.science/pith/GZVNED4NP3UMVYM4X25ETTWDI7","bundle":"https://pith.science/pith/GZVNED4NP3UMVYM4X25ETTWDI7/bundle.json","state":"https://pith.science/pith/GZVNED4NP3UMVYM4X25ETTWDI7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GZVNED4NP3UMVYM4X25ETTWDI7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:GZVNED4NP3UMVYM4X25ETTWDI7","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":"aa6cd4e3d80fe95cffcd0f9fb1a5022c7a0e953ea9a13f964b58bbeaba5fbf6d","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2020-01-30T16:24:23Z","title_canon_sha256":"fbeef00267fa6fdb3db8ce7b179be75b84a84b0a18aca7c7eeba20f62a8549b8"},"schema_version":"1.0","source":{"id":"2001.11432","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2001.11432","created_at":"2026-07-05T01:59:54Z"},{"alias_kind":"arxiv_version","alias_value":"2001.11432v2","created_at":"2026-07-05T01:59:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.11432","created_at":"2026-07-05T01:59:54Z"},{"alias_kind":"pith_short_12","alias_value":"GZVNED4NP3UM","created_at":"2026-07-05T01:59:54Z"},{"alias_kind":"pith_short_16","alias_value":"GZVNED4NP3UMVYM4","created_at":"2026-07-05T01:59:54Z"},{"alias_kind":"pith_short_8","alias_value":"GZVNED4N","created_at":"2026-07-05T01:59:54Z"}],"graph_snapshots":[{"event_id":"sha256:df77e64f5f75b9525fe5422016504f36b3631e1fa6998c8775dbdc31330d91d8","target":"graph","created_at":"2026-07-05T01:59:54Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2001.11432/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the absence of inhibition, excitatory neuronal networks can alternate between bursts and interburst intervals (IBI), with heterogeneous length distributions. As this dynamic remains unclear, especially the durations of each epoch, we develop here a bursting model based on synaptic depression and facilitation that also accounts for afterhyperpolarization (AHP), which is a key component of IBI. The framework is a novel stochastic three dimensional dynamical system perturbed by noise: numerical simulations can reproduce a succession of bursts and interbursts. Each phase corresponds to an explo","authors_text":"David Holcman, Lou Zonca","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2020-01-30T16:24:23Z","title":"Modeling bursting in neuronal networks using facilitation-depression and afterhyperpolarization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.11432","kind":"arxiv","version":2},"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:b7ca2e4658f7c0cb3a1921b85c6a7e25d34609dc24f1e4aab0f89291759c559d","target":"record","created_at":"2026-07-05T01:59:54Z","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":"aa6cd4e3d80fe95cffcd0f9fb1a5022c7a0e953ea9a13f964b58bbeaba5fbf6d","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2020-01-30T16:24:23Z","title_canon_sha256":"fbeef00267fa6fdb3db8ce7b179be75b84a84b0a18aca7c7eeba20f62a8549b8"},"schema_version":"1.0","source":{"id":"2001.11432","kind":"arxiv","version":2}},"canonical_sha256":"366ad20f8d7ee8cae19cbeba49cec347e6c9e27991dcaad568ee9d5a3454ea9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"366ad20f8d7ee8cae19cbeba49cec347e6c9e27991dcaad568ee9d5a3454ea9e","first_computed_at":"2026-07-05T01:59:54.742589Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:59:54.742589Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OjrvW+jJ48VD4zRQKpDRr4Ce0bHHE06q09xquyArzsbOr48Puv4ZIqYw2cBod0uXMqbVuL8UFiNhMRmZPOfgDw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:59:54.743014Z","signed_message":"canonical_sha256_bytes"},"source_id":"2001.11432","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7ca2e4658f7c0cb3a1921b85c6a7e25d34609dc24f1e4aab0f89291759c559d","sha256:df77e64f5f75b9525fe5422016504f36b3631e1fa6998c8775dbdc31330d91d8"],"state_sha256":"4e9070ec10ef6d88cec5c26de2d4c7f089922d9c9f0c90746924876976eebb85"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CVu5p6EqGaKj+Zd6uFXAeq4IBviPl2muGUIsitnU8FVMsUwQA+kH7AGRIXrb3jNPI31woIrsaTaR2/zvOXZKCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T22:21:51.208982Z","bundle_sha256":"668af0a434a61e3f3aeeac04907b24fe6944c0d43e6393bd498dbd534df22e32"}}