Pith Number

pith:NUPWQ3LB

pith:2009:NUPWQ3LB6A7Q2AHYXV2LXSP4W6

not attested not anchored not stored refs pending

Maximal independent sets and separating covers

Vincent Vatter

arxiv:0911.4204 v2 · 2009-11-21 · 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{NUPWQ3LB6A7Q2AHYXV2LXSP4W6}

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	2026-05-18T04:41:44.856665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d1f686d61f03f0d00f8bd74bbc9fcb7b282ec12e0e9d96bf9ad57d2a9ad5902

Aliases

arxiv: 0911.4204 · arxiv_version: 0911.4204v2 · doi: 10.48550/arxiv.0911.4204 · pith_short_12: NUPWQ3LB6A7Q · pith_short_16: NUPWQ3LB6A7Q2AHY · pith_short_8: NUPWQ3LB

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/NUPWQ3LB6A7Q2AHYXV2LXSP4W6 \
  | 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: 6d1f686d61f03f0d00f8bd74bbc9fcb7b282ec12e0e9d96bf9ad57d2a9ad5902

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dfc86ee131a3d903804b138f2afb74de6bcdfcd23e3a7942b3b63004cc80e7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-11-21T21:40:18Z",
    "title_canon_sha256": "536d3b18615ecb7105872cac0a4e35309478273893a3bcc35ae4237231db86e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4204",
    "kind": "arxiv",
    "version": 2
  }
}