Pith Number

pith:XKAACQI2

pith:2010:XKAACQI2ZVKSXIJRXS2G34QY5R

not attested not anchored not stored refs pending

On perfect k-matchings

Hongliang Lu

arxiv:1008.4265 v1 · 2010-08-25 · 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{XKAACQI2ZVKSXIJRXS2G34QY5R}

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	2026-05-18T04:41:53.309010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba8001411acd552ba131bcb46df218ec4433cada5ae8706685b7b0ef2b686865

Aliases

arxiv: 1008.4265 · arxiv_version: 1008.4265v1 · doi: 10.48550/arxiv.1008.4265 · pith_short_12: XKAACQI2ZVKS · pith_short_16: XKAACQI2ZVKSXIJR · pith_short_8: XKAACQI2

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/XKAACQI2ZVKSXIJRXS2G34QY5R \
  | 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: ba8001411acd552ba131bcb46df218ec4433cada5ae8706685b7b0ef2b686865

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a56f3dcf900f81d3dbe08a0306c684a65b156b944478233e198e2d0685e9a259",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-08-25T12:41:43Z",
    "title_canon_sha256": "94ab9cceee6a80e4028407930a78a35920e1d445d9026d1467ed418d4007b812"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4265",
    "kind": "arxiv",
    "version": 1
  }
}