{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:42YPRZWYBLMHEBXAFDI7FDCC2P","short_pith_number":"pith:42YPRZWY","canonical_record":{"source":{"id":"1204.6258","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-04-27T15:50:50Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"57d18844a6ad1f40cf8ae32a9774ebdb3cfcd4127ad96b3cab2b7f565f23d176","abstract_canon_sha256":"c1ba9b703b20a98ba7039d2a793cebcf188e37688af9f64d81df08d59f192bef"},"schema_version":"1.0"},"canonical_sha256":"e6b0f8e6d80ad87206e028d1f28c42d3cfa6ae03c4556469f86a1ab4ad3bb755","source":{"kind":"arxiv","id":"1204.6258","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.6258","created_at":"2026-05-18T03:56:46Z"},{"alias_kind":"arxiv_version","alias_value":"1204.6258v1","created_at":"2026-05-18T03:56:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.6258","created_at":"2026-05-18T03:56:46Z"},{"alias_kind":"pith_short_12","alias_value":"42YPRZWYBLMH","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"42YPRZWYBLMHEBXA","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"42YPRZWY","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:42YPRZWYBLMHEBXAFDI7FDCC2P","target":"record","payload":{"canonical_record":{"source":{"id":"1204.6258","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-04-27T15:50:50Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"57d18844a6ad1f40cf8ae32a9774ebdb3cfcd4127ad96b3cab2b7f565f23d176","abstract_canon_sha256":"c1ba9b703b20a98ba7039d2a793cebcf188e37688af9f64d81df08d59f192bef"},"schema_version":"1.0"},"canonical_sha256":"e6b0f8e6d80ad87206e028d1f28c42d3cfa6ae03c4556469f86a1ab4ad3bb755","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:46.600745Z","signature_b64":"4M0TYagChSVh+GV12WWTQDxH4t9GHbwnef89dS+SivlB5+UpBHPdq0VGKNREdFD6hkNORD8HzA5FFjg0XgyADA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e6b0f8e6d80ad87206e028d1f28c42d3cfa6ae03c4556469f86a1ab4ad3bb755","last_reissued_at":"2026-05-18T03:56:46.599975Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:46.599975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.6258","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":"2026-05-18T03:56:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5utE/i3yWb899TRlhJO968Xo90d8m/IRGe5j2Rk3eRVjrxckg3gtwCnH5JIXzhMHnkJL9rjSwNwuDhVP1t7VAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T01:26:05.001103Z"},"content_sha256":"112fb7294ca02e20928e9fb53fdb3d376e763573ed8e9e116c0efcacc412d14f","schema_version":"1.0","event_id":"sha256:112fb7294ca02e20928e9fb53fdb3d376e763573ed8e9e116c0efcacc412d14f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:42YPRZWYBLMHEBXAFDI7FDCC2P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Degree Growth and Stabilization of Three Dimensional Monomial Maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.DS","authors_text":"Jan-Li Lin","submitted_at":"2012-04-27T15:50:50Z","abstract_excerpt":"In this paper, we develop several tools to study the degree growth and stabilization of monomial maps. Using these tools, we can classify semisimple three dimensional monomial maps by their dynamical behavior."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.6258","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":"2026-05-18T03:56:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eT85fWyuhsQzPmFvNHyG2TSAJ+BbtknYR7F22epmd7fHLKtYYaBDM6+qtkq49qfOSmvNdSgm0AE7cQO5RYswBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T01:26:05.001751Z"},"content_sha256":"3ce029acf093c163f271b642994814cde769647996c1c8b49e15606c11d29d42","schema_version":"1.0","event_id":"sha256:3ce029acf093c163f271b642994814cde769647996c1c8b49e15606c11d29d42"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/42YPRZWYBLMHEBXAFDI7FDCC2P/bundle.json","state_url":"https://pith.science/pith/42YPRZWYBLMHEBXAFDI7FDCC2P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/42YPRZWYBLMHEBXAFDI7FDCC2P/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":"2026-06-06T01:26:05Z","links":{"resolver":"https://pith.science/pith/42YPRZWYBLMHEBXAFDI7FDCC2P","bundle":"https://pith.science/pith/42YPRZWYBLMHEBXAFDI7FDCC2P/bundle.json","state":"https://pith.science/pith/42YPRZWYBLMHEBXAFDI7FDCC2P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/42YPRZWYBLMHEBXAFDI7FDCC2P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:42YPRZWYBLMHEBXAFDI7FDCC2P","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":"c1ba9b703b20a98ba7039d2a793cebcf188e37688af9f64d81df08d59f192bef","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-04-27T15:50:50Z","title_canon_sha256":"57d18844a6ad1f40cf8ae32a9774ebdb3cfcd4127ad96b3cab2b7f565f23d176"},"schema_version":"1.0","source":{"id":"1204.6258","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.6258","created_at":"2026-05-18T03:56:46Z"},{"alias_kind":"arxiv_version","alias_value":"1204.6258v1","created_at":"2026-05-18T03:56:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.6258","created_at":"2026-05-18T03:56:46Z"},{"alias_kind":"pith_short_12","alias_value":"42YPRZWYBLMH","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"42YPRZWYBLMHEBXA","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"42YPRZWY","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:3ce029acf093c163f271b642994814cde769647996c1c8b49e15606c11d29d42","target":"graph","created_at":"2026-05-18T03:56:46Z","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 paper, we develop several tools to study the degree growth and stabilization of monomial maps. Using these tools, we can classify semisimple three dimensional monomial maps by their dynamical behavior.","authors_text":"Jan-Li Lin","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-04-27T15:50:50Z","title":"On Degree Growth and Stabilization of Three Dimensional Monomial Maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.6258","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":"sha256:112fb7294ca02e20928e9fb53fdb3d376e763573ed8e9e116c0efcacc412d14f","target":"record","created_at":"2026-05-18T03:56:46Z","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":"c1ba9b703b20a98ba7039d2a793cebcf188e37688af9f64d81df08d59f192bef","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-04-27T15:50:50Z","title_canon_sha256":"57d18844a6ad1f40cf8ae32a9774ebdb3cfcd4127ad96b3cab2b7f565f23d176"},"schema_version":"1.0","source":{"id":"1204.6258","kind":"arxiv","version":1}},"canonical_sha256":"e6b0f8e6d80ad87206e028d1f28c42d3cfa6ae03c4556469f86a1ab4ad3bb755","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e6b0f8e6d80ad87206e028d1f28c42d3cfa6ae03c4556469f86a1ab4ad3bb755","first_computed_at":"2026-05-18T03:56:46.599975Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:56:46.599975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4M0TYagChSVh+GV12WWTQDxH4t9GHbwnef89dS+SivlB5+UpBHPdq0VGKNREdFD6hkNORD8HzA5FFjg0XgyADA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:56:46.600745Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.6258","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:112fb7294ca02e20928e9fb53fdb3d376e763573ed8e9e116c0efcacc412d14f","sha256:3ce029acf093c163f271b642994814cde769647996c1c8b49e15606c11d29d42"],"state_sha256":"b8edf70973b4207a289292b351c9516f4e7c0a6da4a5bd650e576a146cb17a9a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XBYwr96j8Q8mREXp5crp73MzqssPzM5eRbErGd98EpX/FbTxDcUZFby6SNXpLK63N+Gl35ktM8qgub+k4vJoDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T01:26:05.005584Z","bundle_sha256":"851de46696fdf67b5da0896f5bfa4c497fedf9d4f2996170a1fbac4fc35e2184"}}