Pith Number

pith:6YUPQMPQ

pith:2012:6YUPQMPQA6SBAYSZVRUFJPOXM2

not attested not anchored not stored refs pending

A quasi-tree expansion of the Krushkal polynomial

Clark Butler

arxiv:1205.0298 v1 · 2012-05-02 · 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{6YUPQMPQA6SBAYSZVRUFJPOXM2}

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	2026-05-18T03:56:34.836852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f628f831f007a4106259ac6854bdd76697160dea1778f2a7b5ad932a619efcc8

Aliases

arxiv: 1205.0298 · arxiv_version: 1205.0298v1 · doi: 10.48550/arxiv.1205.0298 · pith_short_12: 6YUPQMPQA6SB · pith_short_16: 6YUPQMPQA6SBAYSZ · pith_short_8: 6YUPQMPQ

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/6YUPQMPQA6SBAYSZVRUFJPOXM2 \
  | 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: f628f831f007a4106259ac6854bdd76697160dea1778f2a7b5ad932a619efcc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a38d94d47f1c92fb6c79ddd9a04e85c13fa5a1d0e88939f10aceb78d1c15002",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-02T01:10:23Z",
    "title_canon_sha256": "3e3da8202810458c435e7db4d598512d666b525f4a0cbd9a5cc8fc0ee2873abd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0298",
    "kind": "arxiv",
    "version": 1
  }
}