Pith Number

pith:WU6VWLVM

pith:2010:WU6VWLVMPVHSUIAEGGXWJJQ4M4

not attested not anchored not stored refs pending

Covering a graph by forests and a matching

Andre Raspaud, Mickael Montassier, Tomas Kaiser

arxiv:1007.0316 v2 · 2010-07-02 · 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{WU6VWLVMPVHSUIAEGGXWJJQ4M4}

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	2026-05-18T04:33:17.964369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b53d5b2eac7d4f2a200431af64a61c670c65816c867528280152d22122a13433

Aliases

arxiv: 1007.0316 · arxiv_version: 1007.0316v2 · doi: 10.48550/arxiv.1007.0316 · pith_short_12: WU6VWLVMPVHS · pith_short_16: WU6VWLVMPVHSUIAE · pith_short_8: WU6VWLVM

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/WU6VWLVMPVHSUIAEGGXWJJQ4M4 \
  | 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: b53d5b2eac7d4f2a200431af64a61c670c65816c867528280152d22122a13433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c4d78cd2529e35f5c7e15bcbeaa4cb3c6daff54b428ff050a6d400d16425b85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-07-02T08:20:51Z",
    "title_canon_sha256": "f6e05a778c366791f59ab37a4752122c136cf5e7119cb0d9b0c568a62cf0f2d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0316",
    "kind": "arxiv",
    "version": 2
  }
}