{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:HRNC75LUUG7OLYZU6MYYGXOO5D","short_pith_number":"pith:HRNC75LU","canonical_record":{"source":{"id":"1205.0357","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-05-02T08:51:15Z","cross_cats_sorted":["cs.PL"],"title_canon_sha256":"24087c1721fabc7502d10c3f2d25ec5c82c23ce153022300d4f6663c89e80c77","abstract_canon_sha256":"21686215b6594d0e2b16cdabcd3d85cc40149b4831d9443f60d506e73f56e7a2"},"schema_version":"1.0"},"canonical_sha256":"3c5a2ff574a1bee5e334f331835dcee8e819d5ec475a7f53c85b685a5efa14c5","source":{"kind":"arxiv","id":"1205.0357","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.0357","created_at":"2026-05-18T01:37:38Z"},{"alias_kind":"arxiv_version","alias_value":"1205.0357v2","created_at":"2026-05-18T01:37:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.0357","created_at":"2026-05-18T01:37:38Z"},{"alias_kind":"pith_short_12","alias_value":"HRNC75LUUG7O","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HRNC75LUUG7OLYZU","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HRNC75LU","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:HRNC75LUUG7OLYZU6MYYGXOO5D","target":"record","payload":{"canonical_record":{"source":{"id":"1205.0357","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-05-02T08:51:15Z","cross_cats_sorted":["cs.PL"],"title_canon_sha256":"24087c1721fabc7502d10c3f2d25ec5c82c23ce153022300d4f6663c89e80c77","abstract_canon_sha256":"21686215b6594d0e2b16cdabcd3d85cc40149b4831d9443f60d506e73f56e7a2"},"schema_version":"1.0"},"canonical_sha256":"3c5a2ff574a1bee5e334f331835dcee8e819d5ec475a7f53c85b685a5efa14c5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:38.839080Z","signature_b64":"xTI2RUtPTm6W58LsrT3Ua8t7zKbbM+k1aXgBIuCLxh2wEgC48wLmlrQStpqHtH6TkcGKlIsiTuOZ6kcyNZPyCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c5a2ff574a1bee5e334f331835dcee8e819d5ec475a7f53c85b685a5efa14c5","last_reissued_at":"2026-05-18T01:37:38.838296Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:38.838296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.0357","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:37:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Us9nA3VYO35Oki+irU+JpJKWjrUAe5yfabp5KHKmTBeHwue3gJMv2AtfOuVPwWPOZUVEd0LjUUNSpW64PNI0DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T14:55:45.584245Z"},"content_sha256":"4af3da47507b4b75f6a69d882c7206f40eaac566e9d26c18d922f16db1c4853f","schema_version":"1.0","event_id":"sha256:4af3da47507b4b75f6a69d882c7206f40eaac566e9d26c18d922f16db1c4853f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:HRNC75LUUG7OLYZU6MYYGXOO5D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modes of Convergence for Term Graph Rewriting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.PL"],"primary_cat":"cs.LO","authors_text":"Patrick Bahr (Department of Computer Science, University of Copenhagen)","submitted_at":"2012-05-02T08:51:15Z","abstract_excerpt":"Term graph rewriting provides a simple mechanism to finitely represent restricted forms of infinitary term rewriting. The correspondence between infinitary term rewriting and term graph rewriting has been studied to some extent. However, this endeavour is impaired by the lack of an appropriate counterpart of infinitary rewriting on the side of term graphs. We aim to fill this gap by devising two modes of convergence based on a partial order respectively a metric on term graphs. The thus obtained structures generalise corresponding modes of convergence that are usually studied in infinitary ter"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.0357","kind":"arxiv","version":2},"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":"2026-05-18T01:37:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7WcxZSEMW4+YqB9R0T7II/3aWzInlcd8SxtukQUdx/xlYhHfMlovtbWPYLMK/elwZY/nu5lvWoSdfXZh6cnSCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T14:55:45.584617Z"},"content_sha256":"6a88aa0e1b41678fb20ea698df83c0b53251c14fdb3972ac0a1849f31de641d3","schema_version":"1.0","event_id":"sha256:6a88aa0e1b41678fb20ea698df83c0b53251c14fdb3972ac0a1849f31de641d3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HRNC75LUUG7OLYZU6MYYGXOO5D/bundle.json","state_url":"https://pith.science/pith/HRNC75LUUG7OLYZU6MYYGXOO5D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HRNC75LUUG7OLYZU6MYYGXOO5D/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":"2026-05-29T14:55:45Z","links":{"resolver":"https://pith.science/pith/HRNC75LUUG7OLYZU6MYYGXOO5D","bundle":"https://pith.science/pith/HRNC75LUUG7OLYZU6MYYGXOO5D/bundle.json","state":"https://pith.science/pith/HRNC75LUUG7OLYZU6MYYGXOO5D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HRNC75LUUG7OLYZU6MYYGXOO5D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:HRNC75LUUG7OLYZU6MYYGXOO5D","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":"21686215b6594d0e2b16cdabcd3d85cc40149b4831d9443f60d506e73f56e7a2","cross_cats_sorted":["cs.PL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-05-02T08:51:15Z","title_canon_sha256":"24087c1721fabc7502d10c3f2d25ec5c82c23ce153022300d4f6663c89e80c77"},"schema_version":"1.0","source":{"id":"1205.0357","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.0357","created_at":"2026-05-18T01:37:38Z"},{"alias_kind":"arxiv_version","alias_value":"1205.0357v2","created_at":"2026-05-18T01:37:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.0357","created_at":"2026-05-18T01:37:38Z"},{"alias_kind":"pith_short_12","alias_value":"HRNC75LUUG7O","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HRNC75LUUG7OLYZU","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HRNC75LU","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:6a88aa0e1b41678fb20ea698df83c0b53251c14fdb3972ac0a1849f31de641d3","target":"graph","created_at":"2026-05-18T01:37:38Z","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":"Term graph rewriting provides a simple mechanism to finitely represent restricted forms of infinitary term rewriting. The correspondence between infinitary term rewriting and term graph rewriting has been studied to some extent. However, this endeavour is impaired by the lack of an appropriate counterpart of infinitary rewriting on the side of term graphs. We aim to fill this gap by devising two modes of convergence based on a partial order respectively a metric on term graphs. The thus obtained structures generalise corresponding modes of convergence that are usually studied in infinitary ter","authors_text":"Patrick Bahr (Department of Computer Science, University of Copenhagen)","cross_cats":["cs.PL"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-05-02T08:51:15Z","title":"Modes of Convergence for Term Graph Rewriting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.0357","kind":"arxiv","version":2},"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":"sha256:4af3da47507b4b75f6a69d882c7206f40eaac566e9d26c18d922f16db1c4853f","target":"record","created_at":"2026-05-18T01:37:38Z","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":"21686215b6594d0e2b16cdabcd3d85cc40149b4831d9443f60d506e73f56e7a2","cross_cats_sorted":["cs.PL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-05-02T08:51:15Z","title_canon_sha256":"24087c1721fabc7502d10c3f2d25ec5c82c23ce153022300d4f6663c89e80c77"},"schema_version":"1.0","source":{"id":"1205.0357","kind":"arxiv","version":2}},"canonical_sha256":"3c5a2ff574a1bee5e334f331835dcee8e819d5ec475a7f53c85b685a5efa14c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c5a2ff574a1bee5e334f331835dcee8e819d5ec475a7f53c85b685a5efa14c5","first_computed_at":"2026-05-18T01:37:38.838296Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:38.838296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xTI2RUtPTm6W58LsrT3Ua8t7zKbbM+k1aXgBIuCLxh2wEgC48wLmlrQStpqHtH6TkcGKlIsiTuOZ6kcyNZPyCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:38.839080Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.0357","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4af3da47507b4b75f6a69d882c7206f40eaac566e9d26c18d922f16db1c4853f","sha256:6a88aa0e1b41678fb20ea698df83c0b53251c14fdb3972ac0a1849f31de641d3"],"state_sha256":"a5bdea26b980b0be8c6d81d450de59dba78a6403bbcfa90677cf10f46bd151f4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6nfcqw2r9QmRHRi6/U4kiq6VnE7XYGkNR9vPO+gk7TrrD7zGGKeugJz9MzutOkffVTG6Z0RtXkTHt+Q1Un27BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T14:55:45.586807Z","bundle_sha256":"ba72f19220d2478d4a8f114f55c1cee056eb75f7fc06714f95efcb64d228c001"}}