{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:E2PTPD3JPOIHV7K7RDPZUA5FQV","short_pith_number":"pith:E2PTPD3J","canonical_record":{"source":{"id":"1402.4112","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-02-17T20:26:47Z","cross_cats_sorted":[],"title_canon_sha256":"d8bf34c5c25350a0ce68ffcd8de5f705e924c1851bc44101b3735e05fa538dc0","abstract_canon_sha256":"2721cb556a62fd1c19a1ff7625d70fd37ca506ac042d820b0033fc116362023b"},"schema_version":"1.0"},"canonical_sha256":"269f378f697b907afd5f88df9a03a58543b1a80686083c8010017056c4aba68a","source":{"kind":"arxiv","id":"1402.4112","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.4112","created_at":"2026-05-18T02:58:46Z"},{"alias_kind":"arxiv_version","alias_value":"1402.4112v1","created_at":"2026-05-18T02:58:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4112","created_at":"2026-05-18T02:58:46Z"},{"alias_kind":"pith_short_12","alias_value":"E2PTPD3JPOIH","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"E2PTPD3JPOIHV7K7","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"E2PTPD3J","created_at":"2026-05-18T12:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:E2PTPD3JPOIHV7K7RDPZUA5FQV","target":"record","payload":{"canonical_record":{"source":{"id":"1402.4112","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-02-17T20:26:47Z","cross_cats_sorted":[],"title_canon_sha256":"d8bf34c5c25350a0ce68ffcd8de5f705e924c1851bc44101b3735e05fa538dc0","abstract_canon_sha256":"2721cb556a62fd1c19a1ff7625d70fd37ca506ac042d820b0033fc116362023b"},"schema_version":"1.0"},"canonical_sha256":"269f378f697b907afd5f88df9a03a58543b1a80686083c8010017056c4aba68a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:46.942860Z","signature_b64":"f0DZGJS00XJmPH2pvddYZdymD7f5HzAw8wJ8CDyu5iXSZ4bts8jO5CzdHdwTBUMxggsWUs6CIzSFF0kj2UwNBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"269f378f697b907afd5f88df9a03a58543b1a80686083c8010017056c4aba68a","last_reissued_at":"2026-05-18T02:58:46.941949Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:46.941949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.4112","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":"2026-05-18T02:58:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eCOLxy0o+2IxiLern4NiuS15xBJpIxjeZh/Ytyl1Ak9prYKkdyQPbRehagq0E0U17ZHjg3l6ZFl/9GI+sr2pBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T16:00:53.266638Z"},"content_sha256":"4afd2c31ff64c2bcb387db7dd7077041d5d7693452dd86fab6ec75365d183963","schema_version":"1.0","event_id":"sha256:4afd2c31ff64c2bcb387db7dd7077041d5d7693452dd86fab6ec75365d183963"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:E2PTPD3JPOIHV7K7RDPZUA5FQV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Combinatorial proof of an Infinite version of the Hales-Jewett theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Nikolaos Karagiannis","submitted_at":"2014-02-17T20:26:47Z","abstract_excerpt":"We provide a combinatorial proof of an infinite extension of the Hales--Jewett theorem due to T. Carlson and independently due to H. Furstenberg and Y. Katznelson"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4112","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":"2026-05-18T02:58:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dVD+KiZPryPkH5bqYUb2gJPux5obxKp8BAticrYNApGlpAt6M51OSYSWty6RQ/lIHQGQtF0U96eqPwX+C28jBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T16:00:53.267340Z"},"content_sha256":"ce60ab553c3cdafd8c35fb215faafa7d6b98dc9aaead83ede862ba2fe0a8794b","schema_version":"1.0","event_id":"sha256:ce60ab553c3cdafd8c35fb215faafa7d6b98dc9aaead83ede862ba2fe0a8794b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E2PTPD3JPOIHV7K7RDPZUA5FQV/bundle.json","state_url":"https://pith.science/pith/E2PTPD3JPOIHV7K7RDPZUA5FQV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E2PTPD3JPOIHV7K7RDPZUA5FQV/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":"2026-06-08T16:00:53Z","links":{"resolver":"https://pith.science/pith/E2PTPD3JPOIHV7K7RDPZUA5FQV","bundle":"https://pith.science/pith/E2PTPD3JPOIHV7K7RDPZUA5FQV/bundle.json","state":"https://pith.science/pith/E2PTPD3JPOIHV7K7RDPZUA5FQV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E2PTPD3JPOIHV7K7RDPZUA5FQV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:E2PTPD3JPOIHV7K7RDPZUA5FQV","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":"2721cb556a62fd1c19a1ff7625d70fd37ca506ac042d820b0033fc116362023b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-02-17T20:26:47Z","title_canon_sha256":"d8bf34c5c25350a0ce68ffcd8de5f705e924c1851bc44101b3735e05fa538dc0"},"schema_version":"1.0","source":{"id":"1402.4112","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.4112","created_at":"2026-05-18T02:58:46Z"},{"alias_kind":"arxiv_version","alias_value":"1402.4112v1","created_at":"2026-05-18T02:58:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4112","created_at":"2026-05-18T02:58:46Z"},{"alias_kind":"pith_short_12","alias_value":"E2PTPD3JPOIH","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"E2PTPD3JPOIHV7K7","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"E2PTPD3J","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:ce60ab553c3cdafd8c35fb215faafa7d6b98dc9aaead83ede862ba2fe0a8794b","target":"graph","created_at":"2026-05-18T02:58:46Z","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":"We provide a combinatorial proof of an infinite extension of the Hales--Jewett theorem due to T. Carlson and independently due to H. Furstenberg and Y. Katznelson","authors_text":"Nikolaos Karagiannis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-02-17T20:26:47Z","title":"A Combinatorial proof of an Infinite version of the Hales-Jewett theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4112","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":"sha256:4afd2c31ff64c2bcb387db7dd7077041d5d7693452dd86fab6ec75365d183963","target":"record","created_at":"2026-05-18T02:58:46Z","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":"2721cb556a62fd1c19a1ff7625d70fd37ca506ac042d820b0033fc116362023b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-02-17T20:26:47Z","title_canon_sha256":"d8bf34c5c25350a0ce68ffcd8de5f705e924c1851bc44101b3735e05fa538dc0"},"schema_version":"1.0","source":{"id":"1402.4112","kind":"arxiv","version":1}},"canonical_sha256":"269f378f697b907afd5f88df9a03a58543b1a80686083c8010017056c4aba68a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"269f378f697b907afd5f88df9a03a58543b1a80686083c8010017056c4aba68a","first_computed_at":"2026-05-18T02:58:46.941949Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:46.941949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f0DZGJS00XJmPH2pvddYZdymD7f5HzAw8wJ8CDyu5iXSZ4bts8jO5CzdHdwTBUMxggsWUs6CIzSFF0kj2UwNBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:46.942860Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.4112","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4afd2c31ff64c2bcb387db7dd7077041d5d7693452dd86fab6ec75365d183963","sha256:ce60ab553c3cdafd8c35fb215faafa7d6b98dc9aaead83ede862ba2fe0a8794b"],"state_sha256":"8529274d1d306fdead0a6d2f1f23507f42d58f087242510dc5cc23249fce97fe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QRxBlYnNS25Z2K+3ooJJOAGfQESGwb95tVmeK3Hsl/uHHRNcTZptGFl32xCg5Iya9xlMgdw9zfqSYGeujHaIDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T16:00:53.271857Z","bundle_sha256":"5787247d6c6c6af6b1a3d2ad8700da81c3807872d6ecf3b1037e6d0c79cae3b9"}}