{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:YTFWXEIVZVCSLEEAM67DFHRJDW","short_pith_number":"pith:YTFWXEIV","canonical_record":{"source":{"id":"1708.03398","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-10T22:18:11Z","cross_cats_sorted":[],"title_canon_sha256":"77a1cfc51046b9825760fdd0bb3f505984d62d7ad4c5b1076c02309834eedf84","abstract_canon_sha256":"b1e70117cc872c0c9c0379e7f19ace54fa02e3303ee92c40ac4a48a7a6fd5b17"},"schema_version":"1.0"},"canonical_sha256":"c4cb6b9115cd4525908067be329e291d9b2320651f6bfc2bacd77d1d82058bce","source":{"kind":"arxiv","id":"1708.03398","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03398","created_at":"2026-05-17T23:50:07Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03398v3","created_at":"2026-05-17T23:50:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03398","created_at":"2026-05-17T23:50:07Z"},{"alias_kind":"pith_short_12","alias_value":"YTFWXEIVZVCS","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YTFWXEIVZVCSLEEA","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YTFWXEIV","created_at":"2026-05-18T12:31:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:YTFWXEIVZVCSLEEAM67DFHRJDW","target":"record","payload":{"canonical_record":{"source":{"id":"1708.03398","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-10T22:18:11Z","cross_cats_sorted":[],"title_canon_sha256":"77a1cfc51046b9825760fdd0bb3f505984d62d7ad4c5b1076c02309834eedf84","abstract_canon_sha256":"b1e70117cc872c0c9c0379e7f19ace54fa02e3303ee92c40ac4a48a7a6fd5b17"},"schema_version":"1.0"},"canonical_sha256":"c4cb6b9115cd4525908067be329e291d9b2320651f6bfc2bacd77d1d82058bce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:07.520785Z","signature_b64":"qfEdRcE9i1HY2Je5gypjfiiA8qLp+CUUhl97AjNQQi8wV8s+b/iD5+rO2abJZ6mq/vJG9A2gJu7lwMbA9IYaAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4cb6b9115cd4525908067be329e291d9b2320651f6bfc2bacd77d1d82058bce","last_reissued_at":"2026-05-17T23:50:07.520182Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:07.520182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.03398","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:50:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SJY0GGJwQYrBaho0EvAaiBiMgCGu941+3lUDVf1fILM8hZ0sF5mDorIh0jyQ9dNCk/gn9alaxhP1sR4phSq2Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T22:40:22.129246Z"},"content_sha256":"1256f046767415f00d89be5b885a45bf31ebbc5e612d1485bb5a1462a24cae0f","schema_version":"1.0","event_id":"sha256:1256f046767415f00d89be5b885a45bf31ebbc5e612d1485bb5a1462a24cae0f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:YTFWXEIVZVCSLEEAM67DFHRJDW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Zero forcing in iterated line digraphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Daniela Ferrero, Sudeep Stephen, Thomas Kalinowski","submitted_at":"2017-08-10T22:18:11Z","abstract_excerpt":"Zero forcing is a propagation process on a graph, or digraph, defined in linear algebra to provide a bound for the minimum rank problem. Independently, zero forcing was introduced in physics, computer science and network science, areas where line digraphs are frequently used as models. Zero forcing is also related to power domination, a propagation process that models the monitoring of electrical power networks.\n  In this paper we study zero forcing in iterated line digraphs and provide a relationship between zero forcing and power domination in line digraphs. In particular, for regular iterat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03398","kind":"arxiv","version":3},"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":"2026-05-17T23:50:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cS5quSHKrdyfiinHCcyFxzX9Il/3hnbd7kb5GmAsOeQ0yxotTz/YjKMPTQmDE0CifmCk2Njb9gBIdODg14u4BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T22:40:22.129941Z"},"content_sha256":"31a62ff6194c0a6ebb51bb1ce659e784c2fcef6784f6a81a01c1f80894b19a0a","schema_version":"1.0","event_id":"sha256:31a62ff6194c0a6ebb51bb1ce659e784c2fcef6784f6a81a01c1f80894b19a0a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YTFWXEIVZVCSLEEAM67DFHRJDW/bundle.json","state_url":"https://pith.science/pith/YTFWXEIVZVCSLEEAM67DFHRJDW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YTFWXEIVZVCSLEEAM67DFHRJDW/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":"2026-06-07T22:40:22Z","links":{"resolver":"https://pith.science/pith/YTFWXEIVZVCSLEEAM67DFHRJDW","bundle":"https://pith.science/pith/YTFWXEIVZVCSLEEAM67DFHRJDW/bundle.json","state":"https://pith.science/pith/YTFWXEIVZVCSLEEAM67DFHRJDW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YTFWXEIVZVCSLEEAM67DFHRJDW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:YTFWXEIVZVCSLEEAM67DFHRJDW","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":"b1e70117cc872c0c9c0379e7f19ace54fa02e3303ee92c40ac4a48a7a6fd5b17","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-10T22:18:11Z","title_canon_sha256":"77a1cfc51046b9825760fdd0bb3f505984d62d7ad4c5b1076c02309834eedf84"},"schema_version":"1.0","source":{"id":"1708.03398","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03398","created_at":"2026-05-17T23:50:07Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03398v3","created_at":"2026-05-17T23:50:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03398","created_at":"2026-05-17T23:50:07Z"},{"alias_kind":"pith_short_12","alias_value":"YTFWXEIVZVCS","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YTFWXEIVZVCSLEEA","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YTFWXEIV","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:31a62ff6194c0a6ebb51bb1ce659e784c2fcef6784f6a81a01c1f80894b19a0a","target":"graph","created_at":"2026-05-17T23:50:07Z","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":"Zero forcing is a propagation process on a graph, or digraph, defined in linear algebra to provide a bound for the minimum rank problem. Independently, zero forcing was introduced in physics, computer science and network science, areas where line digraphs are frequently used as models. Zero forcing is also related to power domination, a propagation process that models the monitoring of electrical power networks.\n  In this paper we study zero forcing in iterated line digraphs and provide a relationship between zero forcing and power domination in line digraphs. In particular, for regular iterat","authors_text":"Daniela Ferrero, Sudeep Stephen, Thomas Kalinowski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-10T22:18:11Z","title":"Zero forcing in iterated line digraphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03398","kind":"arxiv","version":3},"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":"sha256:1256f046767415f00d89be5b885a45bf31ebbc5e612d1485bb5a1462a24cae0f","target":"record","created_at":"2026-05-17T23:50:07Z","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":"b1e70117cc872c0c9c0379e7f19ace54fa02e3303ee92c40ac4a48a7a6fd5b17","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-10T22:18:11Z","title_canon_sha256":"77a1cfc51046b9825760fdd0bb3f505984d62d7ad4c5b1076c02309834eedf84"},"schema_version":"1.0","source":{"id":"1708.03398","kind":"arxiv","version":3}},"canonical_sha256":"c4cb6b9115cd4525908067be329e291d9b2320651f6bfc2bacd77d1d82058bce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4cb6b9115cd4525908067be329e291d9b2320651f6bfc2bacd77d1d82058bce","first_computed_at":"2026-05-17T23:50:07.520182Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:07.520182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qfEdRcE9i1HY2Je5gypjfiiA8qLp+CUUhl97AjNQQi8wV8s+b/iD5+rO2abJZ6mq/vJG9A2gJu7lwMbA9IYaAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:07.520785Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.03398","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1256f046767415f00d89be5b885a45bf31ebbc5e612d1485bb5a1462a24cae0f","sha256:31a62ff6194c0a6ebb51bb1ce659e784c2fcef6784f6a81a01c1f80894b19a0a"],"state_sha256":"3a1447ab0163dffc7dc796f4eb8c8a78b9e608429804f3a2fddcb6a19244af8f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OiSygAECtOGFN8kTJ/nGHAk6/SkeToc65oy/qFPAMkKAcX0rAiugosbS29dyZcywb62/fBwDS0kTOh9KVMfjDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T22:40:22.134471Z","bundle_sha256":"5b4b037fbb3b138df043adaaa7049a65065bd7e5e637e72f290d80c53952b316"}}