{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:VZY7DU6U34O3Y7NZIOIXQTM7NX","short_pith_number":"pith:VZY7DU6U","canonical_record":{"source":{"id":"1708.02607","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-08T18:48:08Z","cross_cats_sorted":[],"title_canon_sha256":"cd58e14704c06f88e071de3a43e3f4c00040e2a0cc04975e109bbd7b35900bce","abstract_canon_sha256":"fbcc7890245a6cf6a4d7a24697e56379a691c8d44bdf3da06b19766916162743"},"schema_version":"1.0"},"canonical_sha256":"ae71f1d3d4df1dbc7db94391784d9f6dd7aa198b4fa4fb5081839a6c85e6d793","source":{"kind":"arxiv","id":"1708.02607","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.02607","created_at":"2026-05-18T00:35:16Z"},{"alias_kind":"arxiv_version","alias_value":"1708.02607v3","created_at":"2026-05-18T00:35:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.02607","created_at":"2026-05-18T00:35:16Z"},{"alias_kind":"pith_short_12","alias_value":"VZY7DU6U34O3","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VZY7DU6U34O3Y7NZ","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VZY7DU6U","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:VZY7DU6U34O3Y7NZIOIXQTM7NX","target":"record","payload":{"canonical_record":{"source":{"id":"1708.02607","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-08T18:48:08Z","cross_cats_sorted":[],"title_canon_sha256":"cd58e14704c06f88e071de3a43e3f4c00040e2a0cc04975e109bbd7b35900bce","abstract_canon_sha256":"fbcc7890245a6cf6a4d7a24697e56379a691c8d44bdf3da06b19766916162743"},"schema_version":"1.0"},"canonical_sha256":"ae71f1d3d4df1dbc7db94391784d9f6dd7aa198b4fa4fb5081839a6c85e6d793","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:16.010811Z","signature_b64":"IC+BHHjOAui62b7pKGL9NYFvsNi9zH/Nf2SjjIOoJZnDXgNIT6UrWutvAZ14QMykA/AZO9D6JKYRSY+zV6uHAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae71f1d3d4df1dbc7db94391784d9f6dd7aa198b4fa4fb5081839a6c85e6d793","last_reissued_at":"2026-05-18T00:35:16.010280Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:16.010280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.02607","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":"2026-05-18T00:35:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i26NTNsUyJc8J/YN9svVsjZ1Dkzceixa6hVvZpbD8PMdsuf4gLU4RaAqoFTF4Qy42PCk7fHWFOMfcBnU6H8jCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:14:02.967393Z"},"content_sha256":"f0a5690583b10d1888db5cab92fda1164aab9fe8128458391cc19bc3f2097cb9","schema_version":"1.0","event_id":"sha256:f0a5690583b10d1888db5cab92fda1164aab9fe8128458391cc19bc3f2097cb9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:VZY7DU6U34O3Y7NZIOIXQTM7NX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Caterpillars Have Antimagic Orientations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Antoni Lozano","submitted_at":"2017-08-08T18:48:08Z","abstract_excerpt":"An antimagic labeling of a directed graph $D$ with $m$ arcs is a bijection from the set of arcs of $D$ to $\\{1,\\dots,m\\}$ such that all oriented vertex sums of vertices in $D$ are pairwise distinct, where the oriented vertex sum of a vertex $u$ is the sum of labels of all arcs entering $u$ minus the sum of labels of all arcs leaving $u$. Hefetz, M\\\"utze, and Schwartz conjectured that every connected graph admits an antimagic orientation, where an antimagic orientation of a graph $G$ is an orientation of $G$ which has an antimagic labeling. We use a constructive technique to prove that caterpil"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.02607","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":"2026-05-18T00:35:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c1O78hLMDr/fwanpPPEGNDrp8tOm0dydtQfWpN2US0i03/eDOcYBWdh0OhXpPQoAD14XJvZduWBdEsTUbtaeDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:14:02.968105Z"},"content_sha256":"4f5940fce19b37f9189428d65a6c6078a901bd72b46298d3576b00882627a206","schema_version":"1.0","event_id":"sha256:4f5940fce19b37f9189428d65a6c6078a901bd72b46298d3576b00882627a206"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VZY7DU6U34O3Y7NZIOIXQTM7NX/bundle.json","state_url":"https://pith.science/pith/VZY7DU6U34O3Y7NZIOIXQTM7NX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VZY7DU6U34O3Y7NZIOIXQTM7NX/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":"2026-06-08T19:14:02Z","links":{"resolver":"https://pith.science/pith/VZY7DU6U34O3Y7NZIOIXQTM7NX","bundle":"https://pith.science/pith/VZY7DU6U34O3Y7NZIOIXQTM7NX/bundle.json","state":"https://pith.science/pith/VZY7DU6U34O3Y7NZIOIXQTM7NX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VZY7DU6U34O3Y7NZIOIXQTM7NX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VZY7DU6U34O3Y7NZIOIXQTM7NX","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":"fbcc7890245a6cf6a4d7a24697e56379a691c8d44bdf3da06b19766916162743","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-08T18:48:08Z","title_canon_sha256":"cd58e14704c06f88e071de3a43e3f4c00040e2a0cc04975e109bbd7b35900bce"},"schema_version":"1.0","source":{"id":"1708.02607","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.02607","created_at":"2026-05-18T00:35:16Z"},{"alias_kind":"arxiv_version","alias_value":"1708.02607v3","created_at":"2026-05-18T00:35:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.02607","created_at":"2026-05-18T00:35:16Z"},{"alias_kind":"pith_short_12","alias_value":"VZY7DU6U34O3","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VZY7DU6U34O3Y7NZ","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VZY7DU6U","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:4f5940fce19b37f9189428d65a6c6078a901bd72b46298d3576b00882627a206","target":"graph","created_at":"2026-05-18T00:35:16Z","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":"An antimagic labeling of a directed graph $D$ with $m$ arcs is a bijection from the set of arcs of $D$ to $\\{1,\\dots,m\\}$ such that all oriented vertex sums of vertices in $D$ are pairwise distinct, where the oriented vertex sum of a vertex $u$ is the sum of labels of all arcs entering $u$ minus the sum of labels of all arcs leaving $u$. Hefetz, M\\\"utze, and Schwartz conjectured that every connected graph admits an antimagic orientation, where an antimagic orientation of a graph $G$ is an orientation of $G$ which has an antimagic labeling. We use a constructive technique to prove that caterpil","authors_text":"Antoni Lozano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-08T18:48:08Z","title":"Caterpillars Have Antimagic Orientations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.02607","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:f0a5690583b10d1888db5cab92fda1164aab9fe8128458391cc19bc3f2097cb9","target":"record","created_at":"2026-05-18T00:35:16Z","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":"fbcc7890245a6cf6a4d7a24697e56379a691c8d44bdf3da06b19766916162743","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-08T18:48:08Z","title_canon_sha256":"cd58e14704c06f88e071de3a43e3f4c00040e2a0cc04975e109bbd7b35900bce"},"schema_version":"1.0","source":{"id":"1708.02607","kind":"arxiv","version":3}},"canonical_sha256":"ae71f1d3d4df1dbc7db94391784d9f6dd7aa198b4fa4fb5081839a6c85e6d793","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae71f1d3d4df1dbc7db94391784d9f6dd7aa198b4fa4fb5081839a6c85e6d793","first_computed_at":"2026-05-18T00:35:16.010280Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:16.010280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IC+BHHjOAui62b7pKGL9NYFvsNi9zH/Nf2SjjIOoJZnDXgNIT6UrWutvAZ14QMykA/AZO9D6JKYRSY+zV6uHAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:16.010811Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.02607","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f0a5690583b10d1888db5cab92fda1164aab9fe8128458391cc19bc3f2097cb9","sha256:4f5940fce19b37f9189428d65a6c6078a901bd72b46298d3576b00882627a206"],"state_sha256":"3bc74469ecc28286852fa00ea073beeb360837e8c3c93cc4052282661e1bcb26"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yl5kLz/r/PBgE7DX7b9+pklECh/uC3Z7ov3oYSTlenx5ZbJTHiEc0g774tW5Iy39jVieKzLW99OusWko8VGmDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T19:14:02.972093Z","bundle_sha256":"bb56fa2dc1cfdd1b4f0b4d9ccb9f06378ef1b4eba0c4813ed9e89f124a40804f"}}