Pith Number

pith:JQJ4VHCA

pith:2015:JQJ4VHCAKYKJZL426PP3RDRQSO

not attested not anchored not stored refs pending

Fixed points in conjunctive networks and maximal independent sets in graph contractions

Adrien Richard, Julio Aracena, Lilian Salinas

arxiv:1507.06141 v2 · 2015-07-22 · 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{JQJ4VHCAKYKJZL426PP3RDRQSO}

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	2026-05-18T00:31:14.120694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c13ca9c4056149caf9af3dfb88e3093a57878527cf9addd70c9e5f30a1de351

Aliases

arxiv: 1507.06141 · arxiv_version: 1507.06141v2 · doi: 10.48550/arxiv.1507.06141 · pith_short_12: JQJ4VHCAKYKJ · pith_short_16: JQJ4VHCAKYKJZL42 · pith_short_8: JQJ4VHCA

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/JQJ4VHCAKYKJZL426PP3RDRQSO \
  | 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: 4c13ca9c4056149caf9af3dfb88e3093a57878527cf9addd70c9e5f30a1de351

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c05ff1c076b2bb7df025c3944d5984c48f1de2b18142b6d5e6a2a10710985b3",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-22T11:56:20Z",
    "title_canon_sha256": "802fc06de4bd780164fe1d5819dd19ceb9ab1ceb4812b7ba39806df18e12f0af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06141",
    "kind": "arxiv",
    "version": 2
  }
}