{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1994:ANSLADRLLMKXLCCV4P23KHMA74","short_pith_number":"pith:ANSLADRL","canonical_record":{"source":{"id":"astro-ph/9403006","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1994-03-03T15:17:43Z","cross_cats_sorted":[],"title_canon_sha256":"582727695d2fd12e3e1ffa89d85d487acf41ed34d2e3ef09154f0242689f43ff","abstract_canon_sha256":"89ef439cab3bf5cf6e8f98b8bedf0e7f9c7281400af4abc2f91f2c365e3f67a5"},"schema_version":"1.0"},"canonical_sha256":"0364b00e2b5b15758855e3f5b51d80ff1ef6bfa0255f29f01fc0afc86ac82dd3","source":{"kind":"arxiv","id":"astro-ph/9403006","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9403006","created_at":"2026-05-18T04:38:05Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9403006v1","created_at":"2026-05-18T04:38:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9403006","created_at":"2026-05-18T04:38:05Z"},{"alias_kind":"pith_short_12","alias_value":"ANSLADRLLMKX","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"ANSLADRLLMKXLCCV","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"ANSLADRL","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1994:ANSLADRLLMKXLCCV4P23KHMA74","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/9403006","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1994-03-03T15:17:43Z","cross_cats_sorted":[],"title_canon_sha256":"582727695d2fd12e3e1ffa89d85d487acf41ed34d2e3ef09154f0242689f43ff","abstract_canon_sha256":"89ef439cab3bf5cf6e8f98b8bedf0e7f9c7281400af4abc2f91f2c365e3f67a5"},"schema_version":"1.0"},"canonical_sha256":"0364b00e2b5b15758855e3f5b51d80ff1ef6bfa0255f29f01fc0afc86ac82dd3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:05.003278Z","signature_b64":"XU9yNBYsLUGQae40o27YWxq/Yy2xEEjFMf0Edf/PmXStjUKIZ4NrJAHdC464LSCgBMka27x31Pycma/cTbMlCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0364b00e2b5b15758855e3f5b51d80ff1ef6bfa0255f29f01fc0afc86ac82dd3","last_reissued_at":"2026-05-18T04:38:05.002615Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:05.002615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/9403006","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":"2026-05-18T04:38:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G2q6H4B6IPg9Xso0lJ8z+4F8hVrjD182PGrgZvB+4nuKo6eqaQrnf4HZO/lacZT0Yrn7CXEe6psHTAxevpg+BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T09:41:15.514554Z"},"content_sha256":"532d173a445ce7178dd36b3aae87021c8a18dd6c3375a4238925d38fe3fa9982","schema_version":"1.0","event_id":"sha256:532d173a445ce7178dd36b3aae87021c8a18dd6c3375a4238925d38fe3fa9982"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1994:ANSLADRLLMKXLCCV4P23KHMA74","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Numerical Methods in Cosmological Global Texture Simulations","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Julian Borrill","submitted_at":"1994-03-03T15:17:43Z","abstract_excerpt":"Numerical simulations of the evolution of a global topological defect field have two characteristic length scales --- one macrophysical, of order the field correlation length, and the other microphysical, of order the field width. The situation currently of most interest to particle cosmologists involves the behaviour of a GUT-scale defect field at the epoch of decoupling, where the ratio of these scales is typically of order $10^{50}$. Such a ratio is unrealisable in numerical work, and we consider the approximations which may be employed to deal with this. Focusing on the case of global text"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9403006","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":"2026-05-18T04:38:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jukmTaK6rqzfJXXfhoTPAcqkZnZuJG75dh/ASDKC+WE50+ssi3SvEycbh7RwgMB29P6f4DuMLEQ3gWvtLXOcAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T09:41:15.514918Z"},"content_sha256":"8aefe34d72084f2d9c24d3e777e98fcd47852cd9ae96c5705ec70abf80934a3b","schema_version":"1.0","event_id":"sha256:8aefe34d72084f2d9c24d3e777e98fcd47852cd9ae96c5705ec70abf80934a3b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ANSLADRLLMKXLCCV4P23KHMA74/bundle.json","state_url":"https://pith.science/pith/ANSLADRLLMKXLCCV4P23KHMA74/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ANSLADRLLMKXLCCV4P23KHMA74/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":"2026-06-02T09:41:15Z","links":{"resolver":"https://pith.science/pith/ANSLADRLLMKXLCCV4P23KHMA74","bundle":"https://pith.science/pith/ANSLADRLLMKXLCCV4P23KHMA74/bundle.json","state":"https://pith.science/pith/ANSLADRLLMKXLCCV4P23KHMA74/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ANSLADRLLMKXLCCV4P23KHMA74/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:ANSLADRLLMKXLCCV4P23KHMA74","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":"89ef439cab3bf5cf6e8f98b8bedf0e7f9c7281400af4abc2f91f2c365e3f67a5","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1994-03-03T15:17:43Z","title_canon_sha256":"582727695d2fd12e3e1ffa89d85d487acf41ed34d2e3ef09154f0242689f43ff"},"schema_version":"1.0","source":{"id":"astro-ph/9403006","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9403006","created_at":"2026-05-18T04:38:05Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9403006v1","created_at":"2026-05-18T04:38:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9403006","created_at":"2026-05-18T04:38:05Z"},{"alias_kind":"pith_short_12","alias_value":"ANSLADRLLMKX","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"ANSLADRLLMKXLCCV","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"ANSLADRL","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:8aefe34d72084f2d9c24d3e777e98fcd47852cd9ae96c5705ec70abf80934a3b","target":"graph","created_at":"2026-05-18T04:38:05Z","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":"Numerical simulations of the evolution of a global topological defect field have two characteristic length scales --- one macrophysical, of order the field correlation length, and the other microphysical, of order the field width. The situation currently of most interest to particle cosmologists involves the behaviour of a GUT-scale defect field at the epoch of decoupling, where the ratio of these scales is typically of order $10^{50}$. Such a ratio is unrealisable in numerical work, and we consider the approximations which may be employed to deal with this. Focusing on the case of global text","authors_text":"Julian Borrill","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1994-03-03T15:17:43Z","title":"Numerical Methods in Cosmological Global Texture Simulations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9403006","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":"sha256:532d173a445ce7178dd36b3aae87021c8a18dd6c3375a4238925d38fe3fa9982","target":"record","created_at":"2026-05-18T04:38:05Z","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":"89ef439cab3bf5cf6e8f98b8bedf0e7f9c7281400af4abc2f91f2c365e3f67a5","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1994-03-03T15:17:43Z","title_canon_sha256":"582727695d2fd12e3e1ffa89d85d487acf41ed34d2e3ef09154f0242689f43ff"},"schema_version":"1.0","source":{"id":"astro-ph/9403006","kind":"arxiv","version":1}},"canonical_sha256":"0364b00e2b5b15758855e3f5b51d80ff1ef6bfa0255f29f01fc0afc86ac82dd3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0364b00e2b5b15758855e3f5b51d80ff1ef6bfa0255f29f01fc0afc86ac82dd3","first_computed_at":"2026-05-18T04:38:05.002615Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:05.002615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XU9yNBYsLUGQae40o27YWxq/Yy2xEEjFMf0Edf/PmXStjUKIZ4NrJAHdC464LSCgBMka27x31Pycma/cTbMlCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:05.003278Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9403006","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:532d173a445ce7178dd36b3aae87021c8a18dd6c3375a4238925d38fe3fa9982","sha256:8aefe34d72084f2d9c24d3e777e98fcd47852cd9ae96c5705ec70abf80934a3b"],"state_sha256":"743e6b0ad0161efa448ab7b031c1d88053963019d1e29acbbb4d4abdfd64ce74"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mjjl/dbQZX4/E7pv/9P1Nj3cR4n7VA5YxL/oGNpe8MTocrTUurM9nk8uj1uEZzjQijNJQI+5J33ffjc/uLt6DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T09:41:15.516807Z","bundle_sha256":"3cfa25b6c0a3bb94a6c473fe8d19f378afe4d0995329a4eedacde9ef88ff4133"}}