Pith Number

pith:KLENXZB2

pith:2016:KLENXZB2W6YNN7WEXILUVW4MHN

not attested not anchored not stored refs pending

Discrepancy and large dense monochromatic subsets

Guus Regts, Ross Kang, Viresh Patel

arxiv:1610.06359 v2 · 2016-10-20 · 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{KLENXZB2W6YNN7WEXILUVW4MHN}

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	2026-05-18T00:26:18.490427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52c8dbe43ab7b0d6fec4ba174adb8c3b5ce93222b9a453d9453e72a2a91ef155

Aliases

arxiv: 1610.06359 · arxiv_version: 1610.06359v2 · doi: 10.48550/arxiv.1610.06359 · pith_short_12: KLENXZB2W6YN · pith_short_16: KLENXZB2W6YNN7WE · pith_short_8: KLENXZB2

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/KLENXZB2W6YNN7WEXILUVW4MHN \
  | 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: 52c8dbe43ab7b0d6fec4ba174adb8c3b5ce93222b9a453d9453e72a2a91ef155

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d008dc5251162ac5862f347d20230e14d4b31d98fa9f17bdb9f05b1de931f584",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-20T11:16:59Z",
    "title_canon_sha256": "83495110fbcee4e71d1060d3bfce7932b9cecd7d47ccf9e24f7fa008395ddb0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06359",
    "kind": "arxiv",
    "version": 2
  }
}