{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:SDT5ES27BKYKFF6OMHQ2MOCQOE","short_pith_number":"pith:SDT5ES27","canonical_record":{"source":{"id":"2501.11675","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2025-01-20T18:58:34Z","cross_cats_sorted":[],"title_canon_sha256":"ced560d4e5556649578aa0b63607bed7276ea98862c4a6cd2c2400dd0795f275","abstract_canon_sha256":"82f3d7e4613213d0f6857282073e9305b02c8c34b5dcb1dc1f5f08641e5557f4"},"schema_version":"1.0"},"canonical_sha256":"90e7d24b5f0ab0a297ce61e1a638507113442b2adcc33f0edcc92722c3723ec1","source":{"kind":"arxiv","id":"2501.11675","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.11675","created_at":"2026-07-05T10:06:47Z"},{"alias_kind":"arxiv_version","alias_value":"2501.11675v2","created_at":"2026-07-05T10:06:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.11675","created_at":"2026-07-05T10:06:47Z"},{"alias_kind":"pith_short_12","alias_value":"SDT5ES27BKYK","created_at":"2026-07-05T10:06:47Z"},{"alias_kind":"pith_short_16","alias_value":"SDT5ES27BKYKFF6O","created_at":"2026-07-05T10:06:47Z"},{"alias_kind":"pith_short_8","alias_value":"SDT5ES27","created_at":"2026-07-05T10:06:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:SDT5ES27BKYKFF6OMHQ2MOCQOE","target":"record","payload":{"canonical_record":{"source":{"id":"2501.11675","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2025-01-20T18:58:34Z","cross_cats_sorted":[],"title_canon_sha256":"ced560d4e5556649578aa0b63607bed7276ea98862c4a6cd2c2400dd0795f275","abstract_canon_sha256":"82f3d7e4613213d0f6857282073e9305b02c8c34b5dcb1dc1f5f08641e5557f4"},"schema_version":"1.0"},"canonical_sha256":"90e7d24b5f0ab0a297ce61e1a638507113442b2adcc33f0edcc92722c3723ec1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:06:47.170868Z","signature_b64":"bH7qrD1Cwo/OcxFYxVTmFGouG7Gv0yOqfUZTe9dT9tzTeISThr0OyzQ9Xt7CtBsVRFaBbV+RrLY6LEMd4he0Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90e7d24b5f0ab0a297ce61e1a638507113442b2adcc33f0edcc92722c3723ec1","last_reissued_at":"2026-07-05T10:06:47.170491Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:06:47.170491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.11675","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":"2026-07-05T10:06:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zZfopiWNdvpwu+Kutpkl4O6xyszU+GEEGnSDochFbtC6sbf3WVUYH2pnZFAO3G5moucWk6hYaVjPS1EvCEH4Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T16:06:09.317594Z"},"content_sha256":"e29c808dfae7f0297e6bfb3679475f4fc5766cb68f0e1d6544c40b88369a5e84","schema_version":"1.0","event_id":"sha256:e29c808dfae7f0297e6bfb3679475f4fc5766cb68f0e1d6544c40b88369a5e84"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:SDT5ES27BKYKFF6OMHQ2MOCQOE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Forcing Quasirandomness in a Regular Tournament","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Arjun Ranganathan, Jonathan A. Noel, Lina M. Simbaqueba","submitted_at":"2025-01-20T18:58:34Z","abstract_excerpt":"A tournament $H$ is said to force quasirandomness if it has the property that a sequence $(T_n)_{n\\in \\mathbb{N}}$ of tournaments of increasing orders is quasirandom if and only if the homomorphism density of $H$ in $T_n$ tends to $(1/2)^{\\binom{v(H)}{2}}$ as $n\\to\\infty$. It was recently shown that there is only one non-transitive tournament with this property. This is in contrast to the analogous problem for graphs, where there are numerous graphs that are known to force quasirandomness and the well known Forcing Conjecture suggests that there are many more. To obtain a richer family of char"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.11675","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2501.11675/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T10:06:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MdDjRN/eCi+h7FNwDw9I2/hTa7mKsUA9EvP+fsFjijokTRMQ3iMEIXgmR5CyAn+587IFDfphzxUxl7a/PCseCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T16:06:09.318173Z"},"content_sha256":"d7a2bbb4d9ea01aea1f124696f66babb6bd26ffd77cd97046f314caf7da6477d","schema_version":"1.0","event_id":"sha256:d7a2bbb4d9ea01aea1f124696f66babb6bd26ffd77cd97046f314caf7da6477d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SDT5ES27BKYKFF6OMHQ2MOCQOE/bundle.json","state_url":"https://pith.science/pith/SDT5ES27BKYKFF6OMHQ2MOCQOE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SDT5ES27BKYKFF6OMHQ2MOCQOE/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":"2026-08-06T16:06:09Z","links":{"resolver":"https://pith.science/pith/SDT5ES27BKYKFF6OMHQ2MOCQOE","bundle":"https://pith.science/pith/SDT5ES27BKYKFF6OMHQ2MOCQOE/bundle.json","state":"https://pith.science/pith/SDT5ES27BKYKFF6OMHQ2MOCQOE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SDT5ES27BKYKFF6OMHQ2MOCQOE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:SDT5ES27BKYKFF6OMHQ2MOCQOE","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":"82f3d7e4613213d0f6857282073e9305b02c8c34b5dcb1dc1f5f08641e5557f4","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2025-01-20T18:58:34Z","title_canon_sha256":"ced560d4e5556649578aa0b63607bed7276ea98862c4a6cd2c2400dd0795f275"},"schema_version":"1.0","source":{"id":"2501.11675","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.11675","created_at":"2026-07-05T10:06:47Z"},{"alias_kind":"arxiv_version","alias_value":"2501.11675v2","created_at":"2026-07-05T10:06:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.11675","created_at":"2026-07-05T10:06:47Z"},{"alias_kind":"pith_short_12","alias_value":"SDT5ES27BKYK","created_at":"2026-07-05T10:06:47Z"},{"alias_kind":"pith_short_16","alias_value":"SDT5ES27BKYKFF6O","created_at":"2026-07-05T10:06:47Z"},{"alias_kind":"pith_short_8","alias_value":"SDT5ES27","created_at":"2026-07-05T10:06:47Z"}],"graph_snapshots":[{"event_id":"sha256:d7a2bbb4d9ea01aea1f124696f66babb6bd26ffd77cd97046f314caf7da6477d","target":"graph","created_at":"2026-07-05T10:06:47Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2501.11675/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A tournament $H$ is said to force quasirandomness if it has the property that a sequence $(T_n)_{n\\in \\mathbb{N}}$ of tournaments of increasing orders is quasirandom if and only if the homomorphism density of $H$ in $T_n$ tends to $(1/2)^{\\binom{v(H)}{2}}$ as $n\\to\\infty$. It was recently shown that there is only one non-transitive tournament with this property. This is in contrast to the analogous problem for graphs, where there are numerous graphs that are known to force quasirandomness and the well known Forcing Conjecture suggests that there are many more. To obtain a richer family of char","authors_text":"Arjun Ranganathan, Jonathan A. Noel, Lina M. Simbaqueba","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2025-01-20T18:58:34Z","title":"Forcing Quasirandomness in a Regular Tournament"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.11675","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:e29c808dfae7f0297e6bfb3679475f4fc5766cb68f0e1d6544c40b88369a5e84","target":"record","created_at":"2026-07-05T10:06:47Z","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":"82f3d7e4613213d0f6857282073e9305b02c8c34b5dcb1dc1f5f08641e5557f4","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2025-01-20T18:58:34Z","title_canon_sha256":"ced560d4e5556649578aa0b63607bed7276ea98862c4a6cd2c2400dd0795f275"},"schema_version":"1.0","source":{"id":"2501.11675","kind":"arxiv","version":2}},"canonical_sha256":"90e7d24b5f0ab0a297ce61e1a638507113442b2adcc33f0edcc92722c3723ec1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90e7d24b5f0ab0a297ce61e1a638507113442b2adcc33f0edcc92722c3723ec1","first_computed_at":"2026-07-05T10:06:47.170491Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:06:47.170491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bH7qrD1Cwo/OcxFYxVTmFGouG7Gv0yOqfUZTe9dT9tzTeISThr0OyzQ9Xt7CtBsVRFaBbV+RrLY6LEMd4he0Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:06:47.170868Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.11675","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e29c808dfae7f0297e6bfb3679475f4fc5766cb68f0e1d6544c40b88369a5e84","sha256:d7a2bbb4d9ea01aea1f124696f66babb6bd26ffd77cd97046f314caf7da6477d"],"state_sha256":"d0230a094cd144019e31c710514b4df37b8589306f5c14dbc141dc709eaad9f4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HXe6YdEWpdf0yS8PSYEWLF4feKe0zQjn3Ni7qzBqMx7RrAuVLfnbGIArQ1lSK6YGcoqMtHFIB/1ryuHyZgq0Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T16:06:09.324008Z","bundle_sha256":"02bf6aac62962d5649c12d176d48ba773a64e9411375b8fec96a30b4955d5b04"}}