{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:3PWWTXFG3NBCI4VYVBY5LFGDUO","short_pith_number":"pith:3PWWTXFG","canonical_record":{"source":{"id":"1608.08045","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-08-29T13:48:19Z","cross_cats_sorted":[],"title_canon_sha256":"2eb4d3388992af4e385cc258f12351140b72d1219858de5c79421e204b4628a2","abstract_canon_sha256":"a8854bada670d617ff505b44601990ef30d5a3b9a2bd869464e484e502d28056"},"schema_version":"1.0"},"canonical_sha256":"dbed69dca6db422472b8a871d594c3a39c775d6a1e7875f5430e8ca173594c86","source":{"kind":"arxiv","id":"1608.08045","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.08045","created_at":"2026-05-18T01:07:49Z"},{"alias_kind":"arxiv_version","alias_value":"1608.08045v1","created_at":"2026-05-18T01:07:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.08045","created_at":"2026-05-18T01:07:49Z"},{"alias_kind":"pith_short_12","alias_value":"3PWWTXFG3NBC","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3PWWTXFG3NBCI4VY","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3PWWTXFG","created_at":"2026-05-18T12:29:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:3PWWTXFG3NBCI4VYVBY5LFGDUO","target":"record","payload":{"canonical_record":{"source":{"id":"1608.08045","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-08-29T13:48:19Z","cross_cats_sorted":[],"title_canon_sha256":"2eb4d3388992af4e385cc258f12351140b72d1219858de5c79421e204b4628a2","abstract_canon_sha256":"a8854bada670d617ff505b44601990ef30d5a3b9a2bd869464e484e502d28056"},"schema_version":"1.0"},"canonical_sha256":"dbed69dca6db422472b8a871d594c3a39c775d6a1e7875f5430e8ca173594c86","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:49.251758Z","signature_b64":"Und0YqpyjqG7K0LyYP58vMoQaUdoex8rukhBESth/IVzyAeynNNy46yUiXo6s0i24b0jwIMo8K0f2NtXUfj6DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dbed69dca6db422472b8a871d594c3a39c775d6a1e7875f5430e8ca173594c86","last_reissued_at":"2026-05-18T01:07:49.251261Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:49.251261Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.08045","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":"2026-05-18T01:07:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w1zbFFvp08QuKxXquBAt07B3xqtDqLSIayuHptKCy4ND6AG9fMp1QPXVzZkmor2EFo6RyCKM3y6ROdMx0D/ZDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T06:49:45.919092Z"},"content_sha256":"4f7bc66a1995531d16c1613c2121167a4ac0ce1e6ef6e8fae38541e8b407dde9","schema_version":"1.0","event_id":"sha256:4f7bc66a1995531d16c1613c2121167a4ac0ce1e6ef6e8fae38541e8b407dde9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:3PWWTXFG3NBCI4VYVBY5LFGDUO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Connectedness of the dart digraph and the squared-dart digraph","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Primo\\v{z} Poto\\v{c}nik, Steve Wilson","submitted_at":"2016-08-29T13:48:19Z","abstract_excerpt":"In this note we revisit the dart graph and the squared dart digraph constructions and prove that they yield strongly connected digraphs when applied to connected graphs of minimum valence at least 3."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08045","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":"2026-05-18T01:07:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CxzrJkbtP/fkoqvIps+XlbzAF/bWKLJM35avEOqq/dbpOyjdRmDzFU6wSTnutNdNbP7ErcyhHhO6ZRkOTxpoBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T06:49:45.919805Z"},"content_sha256":"44ff6ed2ab49b4711dca32287ee51a3ef319fca9eb4a60a0c7aea7ac1e431991","schema_version":"1.0","event_id":"sha256:44ff6ed2ab49b4711dca32287ee51a3ef319fca9eb4a60a0c7aea7ac1e431991"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3PWWTXFG3NBCI4VYVBY5LFGDUO/bundle.json","state_url":"https://pith.science/pith/3PWWTXFG3NBCI4VYVBY5LFGDUO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3PWWTXFG3NBCI4VYVBY5LFGDUO/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":"2026-05-27T06:49:45Z","links":{"resolver":"https://pith.science/pith/3PWWTXFG3NBCI4VYVBY5LFGDUO","bundle":"https://pith.science/pith/3PWWTXFG3NBCI4VYVBY5LFGDUO/bundle.json","state":"https://pith.science/pith/3PWWTXFG3NBCI4VYVBY5LFGDUO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3PWWTXFG3NBCI4VYVBY5LFGDUO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3PWWTXFG3NBCI4VYVBY5LFGDUO","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":"a8854bada670d617ff505b44601990ef30d5a3b9a2bd869464e484e502d28056","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-08-29T13:48:19Z","title_canon_sha256":"2eb4d3388992af4e385cc258f12351140b72d1219858de5c79421e204b4628a2"},"schema_version":"1.0","source":{"id":"1608.08045","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.08045","created_at":"2026-05-18T01:07:49Z"},{"alias_kind":"arxiv_version","alias_value":"1608.08045v1","created_at":"2026-05-18T01:07:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.08045","created_at":"2026-05-18T01:07:49Z"},{"alias_kind":"pith_short_12","alias_value":"3PWWTXFG3NBC","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3PWWTXFG3NBCI4VY","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3PWWTXFG","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:44ff6ed2ab49b4711dca32287ee51a3ef319fca9eb4a60a0c7aea7ac1e431991","target":"graph","created_at":"2026-05-18T01:07:49Z","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 note we revisit the dart graph and the squared dart digraph constructions and prove that they yield strongly connected digraphs when applied to connected graphs of minimum valence at least 3.","authors_text":"Primo\\v{z} Poto\\v{c}nik, Steve Wilson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-08-29T13:48:19Z","title":"Connectedness of the dart digraph and the squared-dart digraph"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08045","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":"sha256:4f7bc66a1995531d16c1613c2121167a4ac0ce1e6ef6e8fae38541e8b407dde9","target":"record","created_at":"2026-05-18T01:07:49Z","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":"a8854bada670d617ff505b44601990ef30d5a3b9a2bd869464e484e502d28056","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-08-29T13:48:19Z","title_canon_sha256":"2eb4d3388992af4e385cc258f12351140b72d1219858de5c79421e204b4628a2"},"schema_version":"1.0","source":{"id":"1608.08045","kind":"arxiv","version":1}},"canonical_sha256":"dbed69dca6db422472b8a871d594c3a39c775d6a1e7875f5430e8ca173594c86","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dbed69dca6db422472b8a871d594c3a39c775d6a1e7875f5430e8ca173594c86","first_computed_at":"2026-05-18T01:07:49.251261Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:49.251261Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Und0YqpyjqG7K0LyYP58vMoQaUdoex8rukhBESth/IVzyAeynNNy46yUiXo6s0i24b0jwIMo8K0f2NtXUfj6DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:49.251758Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.08045","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f7bc66a1995531d16c1613c2121167a4ac0ce1e6ef6e8fae38541e8b407dde9","sha256:44ff6ed2ab49b4711dca32287ee51a3ef319fca9eb4a60a0c7aea7ac1e431991"],"state_sha256":"bd814a17a4d36ba67cc4e927941f971716d04bbf231c8d4050251f7e4d71db4f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7mAdHh+kaqtrhMTrxqopPuXbd5J31DQ1rSSyR9vLUj/F+a+r3g2GOL7jTjJUbkqtH+xqbm6EDdW5OkapKhUEDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T06:49:45.922373Z","bundle_sha256":"7963cc6f4168691b2dfcdb0184e07289797738f6b86cc3d6dbfadaa0a7cdff9f"}}