Pith Number

pith:2XYANUXT

pith:2009:2XYANUXTZTMFIVQCJFFCNNZKWM

not attested not anchored not stored refs pending

Critical independent sets and Konig--Egervary graphs

Eugen Mandrescu, Vadim E. Levit

arxiv:0906.4609 v2 · 2009-06-25 · 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{2XYANUXTZTMFIVQCJFFCNNZKWM}

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	2026-05-18T04:31:12.075712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5f006d2f3ccd8545602494a26b72ab31c7719c47eb02ceb4fb99264f211e8c1

Aliases

arxiv: 0906.4609 · arxiv_version: 0906.4609v2 · doi: 10.48550/arxiv.0906.4609 · pith_short_12: 2XYANUXTZTMF · pith_short_16: 2XYANUXTZTMFIVQC · pith_short_8: 2XYANUXT

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/2XYANUXTZTMFIVQCJFFCNNZKWM \
  | 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: d5f006d2f3ccd8545602494a26b72ab31c7719c47eb02ceb4fb99264f211e8c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7664a38ecc626bb49bc1e6eb06d557e3903590720f0eedda2d94c1a25fdb2e53",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-06-25T15:09:41Z",
    "title_canon_sha256": "abe7215d5e787d23c00c46f8d1fbd216892419f2fdb7449ea0974cd2d9028881"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4609",
    "kind": "arxiv",
    "version": 2
  }
}