Pith Number

pith:3NUFKXR7

pith:2009:3NUFKXR7ERRLADC5YSYUUOSHJI

not attested not anchored not stored refs pending

Packing 3-vertex paths in claw-free graphs and related topics

Alexander Kelmans

arxiv:0910.4681 v2 · 2009-10-24 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3NUFKXR7ERRLADC5YSYUUOSHJI}

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	2026-05-18T04:17:03.446347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db68555e3f2462b00c5dc4b14a3a474a0f5c2f07a9f7d2689d1988f8e24f1979

Aliases

arxiv: 0910.4681 · arxiv_version: 0910.4681v2 · doi: 10.48550/arxiv.0910.4681 · pith_short_12: 3NUFKXR7ERRL · pith_short_16: 3NUFKXR7ERRLADC5 · pith_short_8: 3NUFKXR7

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/3NUFKXR7ERRLADC5YSYUUOSHJI \
  | 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: db68555e3f2462b00c5dc4b14a3a474a0f5c2f07a9f7d2689d1988f8e24f1979

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4427ec176776e785f70b0484dd99a502ac75a43f10ffe9c50c1673396fbe753",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-10-24T21:07:20Z",
    "title_canon_sha256": "12420557c80181c90a900b1d3ff6542c231c7b3c762f1c4f4f2d83926eed3d93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4681",
    "kind": "arxiv",
    "version": 2
  }
}