Pith Number

pith:WT67MW6Y

pith:2019:WT67MW6YB7ESUAPPJJL2U4LNMO

not attested not anchored not stored refs pending

Tournament quasirandomness from local counting

A. Shapira, B. Sudakov, E. Long, M. Buci\'c

arxiv:1910.09936 v1 · 2019-10-22 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WT67MW6YB7ESUAPPJJL2U4LNMO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T00:14:04.178546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4fdf65bd80fc92a01ef4a57aa716d63a8c39ffb2be4df8cca19af806b305bd8

Aliases

arxiv: 1910.09936 · arxiv_version: 1910.09936v1 · doi: 10.48550/arxiv.1910.09936 · pith_short_12: WT67MW6YB7ES · pith_short_16: WT67MW6YB7ESUAPP · pith_short_8: WT67MW6Y

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WT67MW6YB7ESUAPPJJL2U4LNMO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b4fdf65bd80fc92a01ef4a57aa716d63a8c39ffb2be4df8cca19af806b305bd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44fd49b1212df5fd3faa3104bb41e7d68d83fb14de413081a567e8822ef2b689",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-10-22T12:54:58Z",
    "title_canon_sha256": "bf915e1d5003227c19bac8649e14b39a765358640dfd8f927c65f2dd243de9b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.09936",
    "kind": "arxiv",
    "version": 1
  }
}