Pith Number

pith:5JAAVCSX

pith:2026:5JAAVCSXBSDWJGGFQAXWP2YCUX

not attested not anchored not stored refs pending

A complete solution to the biased Alon-Krivelevich-Spencer-Szab\'o criterion problem for the discrepancy game

Gang Yang, Meiqin Wei, Yaping Mao

arxiv:2606.13309 v1 · 2026-06-11 · 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{5JAAVCSXBSDWJGGFQAXWP2YCUX}

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	2026-06-12T01:09:51.638211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea400a8a570c876498c5802f67eb02a5da809aad5fc52b9f1ba2ae050dd90636

Aliases

arxiv: 2606.13309 · arxiv_version: 2606.13309v1 · doi: 10.48550/arxiv.2606.13309 · pith_short_12: 5JAAVCSXBSDW · pith_short_16: 5JAAVCSXBSDWJGGF · pith_short_8: 5JAAVCSX

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/5JAAVCSXBSDWJGGFQAXWP2YCUX \
  | 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: ea400a8a570c876498c5802f67eb02a5da809aad5fc52b9f1ba2ae050dd90636

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47157c60c8a5a3fd018fe21502bcd8984f79897125611e6f4f286daec89b0aaa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-11T13:06:40Z",
    "title_canon_sha256": "3b7690f80da7ba1b8c48778fc01062186ec4b5e14c00cb09be0e0005b0e77e1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13309",
    "kind": "arxiv",
    "version": 1
  }
}