{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:I26PFEM52GUA7HQZL5AZZR4HAS","short_pith_number":"pith:I26PFEM5","canonical_record":{"source":{"id":"1107.4211","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2011-07-21T09:31:52Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"865bd302222198fe6c5dc9f983a41403736dc709557ed9be7d38021ded5c86b2","abstract_canon_sha256":"bc46fdee283d774fd38589b09d74c1ac56ea9ae49d907edbe103ce6c8899ff42"},"schema_version":"1.0"},"canonical_sha256":"46bcf2919dd1a80f9e195f419cc78704ab196c62d1b669535f759c8fc9abf7b8","source":{"kind":"arxiv","id":"1107.4211","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.4211","created_at":"2026-05-18T02:01:13Z"},{"alias_kind":"arxiv_version","alias_value":"1107.4211v1","created_at":"2026-05-18T02:01:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4211","created_at":"2026-05-18T02:01:13Z"},{"alias_kind":"pith_short_12","alias_value":"I26PFEM52GUA","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"I26PFEM52GUA7HQZ","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"I26PFEM5","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:I26PFEM52GUA7HQZL5AZZR4HAS","target":"record","payload":{"canonical_record":{"source":{"id":"1107.4211","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2011-07-21T09:31:52Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"865bd302222198fe6c5dc9f983a41403736dc709557ed9be7d38021ded5c86b2","abstract_canon_sha256":"bc46fdee283d774fd38589b09d74c1ac56ea9ae49d907edbe103ce6c8899ff42"},"schema_version":"1.0"},"canonical_sha256":"46bcf2919dd1a80f9e195f419cc78704ab196c62d1b669535f759c8fc9abf7b8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:13.784251Z","signature_b64":"Lni5fmgr6JhB3yNtqo5Gl92JeY9yIht7loQ6TH7i8iZsi6OmE+g9XwToNUfcOKLdUHhfot87cluiXWu1oCJhBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46bcf2919dd1a80f9e195f419cc78704ab196c62d1b669535f759c8fc9abf7b8","last_reissued_at":"2026-05-18T02:01:13.783482Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:13.783482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.4211","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":"2026-05-18T02:01:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DlE4wBd5+GZf7YHgO6jI8OkFpsR95UUUJT5ceLr+0BPCpZ9nup1vr39GhhhXd3VpZ5ZAr42QD5Fz8qWmiIWsBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T16:02:10.997429Z"},"content_sha256":"09cbacb124e1f47179184bf90c3329f0e67eb9ea00a30284a849ac16e8969a2b","schema_version":"1.0","event_id":"sha256:09cbacb124e1f47179184bf90c3329f0e67eb9ea00a30284a849ac16e8969a2b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:I26PFEM52GUA7HQZL5AZZR4HAS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mechanism of Stepped Leaders in a Simple Discharge Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"physics.plasm-ph","authors_text":"Hidetsugu Sakaguchi, Sahim M. Kourkouss","submitted_at":"2011-07-21T09:31:52Z","abstract_excerpt":"We construct a one-dimensional model for the stepped leader in the filamental discharge by simplifying an electric-circuit model of discharge. We find that the leader of the discharge moves stepwise by direct numerical simulations, and then we try to understand the mechanism of the stepwise motion by reducing the spatially extended system to the dynamics of the tip position of the discharge."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4211","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":"2026-05-18T02:01:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tl9lVFYJZnE4znmLy1bwu7l4WzPCYrCDJuez7uFqlboJBXqQGZC7JmGORL1+lTOXe3TInK6ipazoWcDHy4bvCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T16:02:10.997772Z"},"content_sha256":"5a137abcb3f5b1e13608480594baa7b3b367c8032d0d5d998477366d5240f279","schema_version":"1.0","event_id":"sha256:5a137abcb3f5b1e13608480594baa7b3b367c8032d0d5d998477366d5240f279"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I26PFEM52GUA7HQZL5AZZR4HAS/bundle.json","state_url":"https://pith.science/pith/I26PFEM52GUA7HQZL5AZZR4HAS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I26PFEM52GUA7HQZL5AZZR4HAS/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":"2026-06-04T16:02:10Z","links":{"resolver":"https://pith.science/pith/I26PFEM52GUA7HQZL5AZZR4HAS","bundle":"https://pith.science/pith/I26PFEM52GUA7HQZL5AZZR4HAS/bundle.json","state":"https://pith.science/pith/I26PFEM52GUA7HQZL5AZZR4HAS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I26PFEM52GUA7HQZL5AZZR4HAS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:I26PFEM52GUA7HQZL5AZZR4HAS","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":"bc46fdee283d774fd38589b09d74c1ac56ea9ae49d907edbe103ce6c8899ff42","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2011-07-21T09:31:52Z","title_canon_sha256":"865bd302222198fe6c5dc9f983a41403736dc709557ed9be7d38021ded5c86b2"},"schema_version":"1.0","source":{"id":"1107.4211","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.4211","created_at":"2026-05-18T02:01:13Z"},{"alias_kind":"arxiv_version","alias_value":"1107.4211v1","created_at":"2026-05-18T02:01:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4211","created_at":"2026-05-18T02:01:13Z"},{"alias_kind":"pith_short_12","alias_value":"I26PFEM52GUA","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"I26PFEM52GUA7HQZ","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"I26PFEM5","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:5a137abcb3f5b1e13608480594baa7b3b367c8032d0d5d998477366d5240f279","target":"graph","created_at":"2026-05-18T02:01:13Z","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":"We construct a one-dimensional model for the stepped leader in the filamental discharge by simplifying an electric-circuit model of discharge. We find that the leader of the discharge moves stepwise by direct numerical simulations, and then we try to understand the mechanism of the stepwise motion by reducing the spatially extended system to the dynamics of the tip position of the discharge.","authors_text":"Hidetsugu Sakaguchi, Sahim M. Kourkouss","cross_cats":["nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2011-07-21T09:31:52Z","title":"Mechanism of Stepped Leaders in a Simple Discharge Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4211","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":"sha256:09cbacb124e1f47179184bf90c3329f0e67eb9ea00a30284a849ac16e8969a2b","target":"record","created_at":"2026-05-18T02:01:13Z","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":"bc46fdee283d774fd38589b09d74c1ac56ea9ae49d907edbe103ce6c8899ff42","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2011-07-21T09:31:52Z","title_canon_sha256":"865bd302222198fe6c5dc9f983a41403736dc709557ed9be7d38021ded5c86b2"},"schema_version":"1.0","source":{"id":"1107.4211","kind":"arxiv","version":1}},"canonical_sha256":"46bcf2919dd1a80f9e195f419cc78704ab196c62d1b669535f759c8fc9abf7b8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46bcf2919dd1a80f9e195f419cc78704ab196c62d1b669535f759c8fc9abf7b8","first_computed_at":"2026-05-18T02:01:13.783482Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:13.783482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Lni5fmgr6JhB3yNtqo5Gl92JeY9yIht7loQ6TH7i8iZsi6OmE+g9XwToNUfcOKLdUHhfot87cluiXWu1oCJhBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:13.784251Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.4211","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:09cbacb124e1f47179184bf90c3329f0e67eb9ea00a30284a849ac16e8969a2b","sha256:5a137abcb3f5b1e13608480594baa7b3b367c8032d0d5d998477366d5240f279"],"state_sha256":"ca296223b7ce57c254726ab9d82bd8a807d905649b9d23b7a395663dd9268e48"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KLN74MudLaIrBLttSWbN7y2RqixuyIQox4i+s9KWrf7Z2Hkr2ldQVRLdc9mNPFeh12ZY98Swu+XKhVKGZ3N2AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T16:02:10.999668Z","bundle_sha256":"ae5b9375ff8032fec77ea1f3e3826b94ff145c462c19a25f1520783e0ee8bc98"}}