Pith Number

pith:AFWP4A5P

pith:2010:AFWP4A5P6CGDWAARDIZAM533LA

not attested not anchored not stored refs pending

Extremal graphs for the identifying code problem

Aline Parreau (IF), Eleonora Guerrini (IF), Florent Foucaud (LaBRI), Matjaz Kovse (LaBRI), Petru Valicov (LaBRI), Reza Naserasr (LaBRI)

arxiv:1004.5230 v4 · 2010-04-29 · cs.DM · 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{AFWP4A5P6CGDWAARDIZAM533LA}

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	2026-05-18T04:27:58.737466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

016cfe03aff08c3b00111a3206777b5826e3a9779cc988e823b8d89d1636cc08

Aliases

arxiv: 1004.5230 · arxiv_version: 1004.5230v4 · doi: 10.48550/arxiv.1004.5230 · pith_short_12: AFWP4A5P6CGD · pith_short_16: AFWP4A5P6CGDWAAR · pith_short_8: AFWP4A5P

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/AFWP4A5P6CGDWAARDIZAM533LA \
  | 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: 016cfe03aff08c3b00111a3206777b5826e3a9779cc988e823b8d89d1636cc08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3aecca753eb9228497bfc1c97010dd609397346094096b68f7c047c8eb54d8d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-04-29T09:32:28Z",
    "title_canon_sha256": "a02cebde50174ea792ebabacf1268220e3d69d35c7406c775c12f936f92c5939"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5230",
    "kind": "arxiv",
    "version": 4
  }
}