Pith Number

pith:CA7NS6JO

pith:2011:CA7NS6JOSYLZG5Y5Q7H757T7JC

not attested not anchored not stored refs pending

Minimum degree, independence number and pseudo [2,b]-factors in graphs

Siham Bekkai

arxiv:1111.3879 v3 · 2011-11-16 · 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{CA7NS6JOSYLZG5Y5Q7H757T7JC}

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	2026-05-18T03:57:40.424337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

103ed9792e961793771d87cffefe7f48b5d6b5043c23b9cfea2f458c53c02835

Aliases

arxiv: 1111.3879 · arxiv_version: 1111.3879v3 · doi: 10.48550/arxiv.1111.3879 · pith_short_12: CA7NS6JOSYLZ · pith_short_16: CA7NS6JOSYLZG5Y5 · pith_short_8: CA7NS6JO

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/CA7NS6JOSYLZG5Y5Q7H757T7JC \
  | 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: 103ed9792e961793771d87cffefe7f48b5d6b5043c23b9cfea2f458c53c02835

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2063d56a8bfe1b78df6dbd7a88fabf1619f7c617ddce14cd23d38ecab27a6e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-11-16T17:29:01Z",
    "title_canon_sha256": "fd97c8da99c12498a7b808bbfd3668e451e95d758be4cdfd22979ca51760ccda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3879",
    "kind": "arxiv",
    "version": 3
  }
}