Pith Number

pith:J7KMSVSJ

pith:2013:J7KMSVSJ5L2NOPUGWSA43RYVXS

not attested not anchored not stored refs pending

On wheel-free graphs

Fr\'ed\'eric Havet, Nicolas Trotignon, Pierre Aboulker

arxiv:1309.2113 v1 · 2013-09-09 · 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{J7KMSVSJ5L2NOPUGWSA43RYVXS}

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	2026-05-18T03:13:47.110690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fd4c95649eaf4d73e86b481cdc715bcbee88dc22edcec9c98125e3207d7aa11

Aliases

arxiv: 1309.2113 · arxiv_version: 1309.2113v1 · doi: 10.48550/arxiv.1309.2113 · pith_short_12: J7KMSVSJ5L2N · pith_short_16: J7KMSVSJ5L2NOPUG · pith_short_8: J7KMSVSJ

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/J7KMSVSJ5L2NOPUGWSA43RYVXS \
  | 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: 4fd4c95649eaf4d73e86b481cdc715bcbee88dc22edcec9c98125e3207d7aa11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd88191a1086724761894e517f86945fd18ffee34b0ee24544e3ba02a8318ea7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-09T11:13:23Z",
    "title_canon_sha256": "67223fe4f0d579981e20e224139cdd086179fb2beef4c01d55e7ff467b9afefb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2113",
    "kind": "arxiv",
    "version": 1
  }
}