{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:G32HEOYG4NSTAHH37KCGI3PXQW","short_pith_number":"pith:G32HEOYG","canonical_record":{"source":{"id":"1209.0221","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-09-02T23:11:59Z","cross_cats_sorted":[],"title_canon_sha256":"fda75373c0c0c45b637c87aa5ea4eb9c42178b3193f629fb8911155c99e54385","abstract_canon_sha256":"1de23fc4635df5620dea9a4768968211565966a3183fda64b40793a4bc09d6eb"},"schema_version":"1.0"},"canonical_sha256":"36f4723b06e365301cfbfa84646df785bdf0fb3dddd0dbdd14965d256dde920f","source":{"kind":"arxiv","id":"1209.0221","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.0221","created_at":"2026-05-18T03:13:43Z"},{"alias_kind":"arxiv_version","alias_value":"1209.0221v2","created_at":"2026-05-18T03:13:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.0221","created_at":"2026-05-18T03:13:43Z"},{"alias_kind":"pith_short_12","alias_value":"G32HEOYG4NST","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"G32HEOYG4NSTAHH3","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"G32HEOYG","created_at":"2026-05-18T12:27:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:G32HEOYG4NSTAHH37KCGI3PXQW","target":"record","payload":{"canonical_record":{"source":{"id":"1209.0221","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-09-02T23:11:59Z","cross_cats_sorted":[],"title_canon_sha256":"fda75373c0c0c45b637c87aa5ea4eb9c42178b3193f629fb8911155c99e54385","abstract_canon_sha256":"1de23fc4635df5620dea9a4768968211565966a3183fda64b40793a4bc09d6eb"},"schema_version":"1.0"},"canonical_sha256":"36f4723b06e365301cfbfa84646df785bdf0fb3dddd0dbdd14965d256dde920f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:43.581796Z","signature_b64":"7idH3aQlRN4UCf0P9j0NZDsH3zCmjvwUe2+tlR75ZCXvR9yS3vMkjCWyJLhRStJHrLVkcsUBEpqJlDcbm4uJCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36f4723b06e365301cfbfa84646df785bdf0fb3dddd0dbdd14965d256dde920f","last_reissued_at":"2026-05-18T03:13:43.581005Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:43.581005Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.0221","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":"2026-05-18T03:13:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R9IZevwAENwGAFAmtsGERANaxTDuAewYlI3VpLHz6MXU9wOH9cFEHSfe2SPYgtRfiVliqUl3LOB+6u7u7Wx0AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T21:33:03.418050Z"},"content_sha256":"b58515adfbf718b2230a3bb416f04092937fb1f56025be7c63bc8b18819af414","schema_version":"1.0","event_id":"sha256:b58515adfbf718b2230a3bb416f04092937fb1f56025be7c63bc8b18819af414"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:G32HEOYG4NSTAHH37KCGI3PXQW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Introduction to Chabauty topology and Pictures of the Chabauty space of C*","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Hyungryul Baik, Lucien Clavier","submitted_at":"2012-09-02T23:11:59Z","abstract_excerpt":"The aim of this paper is to provide a gentle introduction to Chabauty topology, while very little background knowledge is assumed. As an example, we provide pictures for the Chabauty space of C*. Note that the description of this space is not new; however the pictures are novel."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.0221","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":"2026-05-18T03:13:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4S7g7tFOICchR1vjPE6hLyapkSxdyYJlHzFY69r+VRU5N07wvqTGM6OmFtrBcbTiysm9XT/pFczbdXtq2uUTBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T21:33:03.418389Z"},"content_sha256":"a9572b1f7c99c7f84cad3ab735ddfa749c2680fb3fa66c39552c254763b47e08","schema_version":"1.0","event_id":"sha256:a9572b1f7c99c7f84cad3ab735ddfa749c2680fb3fa66c39552c254763b47e08"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G32HEOYG4NSTAHH37KCGI3PXQW/bundle.json","state_url":"https://pith.science/pith/G32HEOYG4NSTAHH37KCGI3PXQW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G32HEOYG4NSTAHH37KCGI3PXQW/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":"2026-06-24T21:33:03Z","links":{"resolver":"https://pith.science/pith/G32HEOYG4NSTAHH37KCGI3PXQW","bundle":"https://pith.science/pith/G32HEOYG4NSTAHH37KCGI3PXQW/bundle.json","state":"https://pith.science/pith/G32HEOYG4NSTAHH37KCGI3PXQW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G32HEOYG4NSTAHH37KCGI3PXQW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:G32HEOYG4NSTAHH37KCGI3PXQW","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":"1de23fc4635df5620dea9a4768968211565966a3183fda64b40793a4bc09d6eb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-09-02T23:11:59Z","title_canon_sha256":"fda75373c0c0c45b637c87aa5ea4eb9c42178b3193f629fb8911155c99e54385"},"schema_version":"1.0","source":{"id":"1209.0221","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.0221","created_at":"2026-05-18T03:13:43Z"},{"alias_kind":"arxiv_version","alias_value":"1209.0221v2","created_at":"2026-05-18T03:13:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.0221","created_at":"2026-05-18T03:13:43Z"},{"alias_kind":"pith_short_12","alias_value":"G32HEOYG4NST","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"G32HEOYG4NSTAHH3","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"G32HEOYG","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:a9572b1f7c99c7f84cad3ab735ddfa749c2680fb3fa66c39552c254763b47e08","target":"graph","created_at":"2026-05-18T03:13:43Z","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":"The aim of this paper is to provide a gentle introduction to Chabauty topology, while very little background knowledge is assumed. As an example, we provide pictures for the Chabauty space of C*. Note that the description of this space is not new; however the pictures are novel.","authors_text":"Hyungryul Baik, Lucien Clavier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-09-02T23:11:59Z","title":"Introduction to Chabauty topology and Pictures of the Chabauty space of C*"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.0221","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:b58515adfbf718b2230a3bb416f04092937fb1f56025be7c63bc8b18819af414","target":"record","created_at":"2026-05-18T03:13:43Z","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":"1de23fc4635df5620dea9a4768968211565966a3183fda64b40793a4bc09d6eb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-09-02T23:11:59Z","title_canon_sha256":"fda75373c0c0c45b637c87aa5ea4eb9c42178b3193f629fb8911155c99e54385"},"schema_version":"1.0","source":{"id":"1209.0221","kind":"arxiv","version":2}},"canonical_sha256":"36f4723b06e365301cfbfa84646df785bdf0fb3dddd0dbdd14965d256dde920f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36f4723b06e365301cfbfa84646df785bdf0fb3dddd0dbdd14965d256dde920f","first_computed_at":"2026-05-18T03:13:43.581005Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:43.581005Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7idH3aQlRN4UCf0P9j0NZDsH3zCmjvwUe2+tlR75ZCXvR9yS3vMkjCWyJLhRStJHrLVkcsUBEpqJlDcbm4uJCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:43.581796Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.0221","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b58515adfbf718b2230a3bb416f04092937fb1f56025be7c63bc8b18819af414","sha256:a9572b1f7c99c7f84cad3ab735ddfa749c2680fb3fa66c39552c254763b47e08"],"state_sha256":"305b433a6c21a6820848edaae23b3d930a04c6ad1bff0a926876836010a72250"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HQVevDShFJSF6cn69J6RpMWdQJDAlpFlxFjmsQcfV1WbuVVMKvSuOHR3SBcFE51L/I1Xu01+dLkHKvn7bJaPAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T21:33:03.420180Z","bundle_sha256":"0ecd4f9e427a46ebf693b9c0512242742e1152bd20a74e63146f20e9fe2dfdb1"}}