Pith Number

pith:MGWH6S3H

pith:2011:MGWH6S3HQWLUWDC4MBA2JXXM7M

not attested not anchored not stored refs pending

Optimal antithickenings of claw-free trigraphs

Andrew D. King, Maria Chudnovsky

arxiv:1110.5111 v2 · 2011-10-24 · cs.DM · 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{MGWH6S3HQWLUWDC4MBA2JXXM7M}

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	2026-05-18T03:46:47.616804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61ac7f4b6785974b0c5c6041a4deecfb1f9e10a22d6f753d613a9e56f7614232

Aliases

arxiv: 1110.5111 · arxiv_version: 1110.5111v2 · doi: 10.48550/arxiv.1110.5111 · pith_short_12: MGWH6S3HQWLU · pith_short_16: MGWH6S3HQWLUWDC4 · pith_short_8: MGWH6S3H

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/MGWH6S3HQWLUWDC4MBA2JXXM7M \
  | 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: 61ac7f4b6785974b0c5c6041a4deecfb1f9e10a22d6f753d613a9e56f7614232

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e5b81a63078439a2e861ed4d69440683028aa940459e87f37bd6653d5daba8d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-10-24T02:01:20Z",
    "title_canon_sha256": "e070e58184a7dc6f8d66fc28d6e2e6dccc0f07a46c9b3b079421f6a3e59cd2c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5111",
    "kind": "arxiv",
    "version": 2
  }
}