Pith Number

pith:5ITR6V5C

pith:2012:5ITR6V5C3U5SWOKAONYFAULHXY

not attested not anchored not stored refs pending

Finding vertex-surjective graph homomorphisms

Barnaby Martin, Bernard Lidick\'y, Dani\"el Paulusma, Petr A. Golovach

arxiv:1204.2124 v1 · 2012-04-10 · cs.DM · cs.CC · 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{5ITR6V5C3U5SWOKAONYFAULHXY}

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	2026-05-18T00:54:58.478435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea271f57a2dd3b2b39407370505167be288178cfc2678d1d6a33944a24816006

Aliases

arxiv: 1204.2124 · arxiv_version: 1204.2124v1 · doi: 10.48550/arxiv.1204.2124 · pith_short_12: 5ITR6V5C3U5S · pith_short_16: 5ITR6V5C3U5SWOKA · pith_short_8: 5ITR6V5C

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/5ITR6V5C3U5SWOKAONYFAULHXY \
  | 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: ea271f57a2dd3b2b39407370505167be288178cfc2678d1d6a33944a24816006

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfa029729613bd0d90b5da1258cd2e7de10eb0f090e3cd25b6c67077dc5e8231",
    "cross_cats_sorted": [
      "cs.CC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-04-10T12:31:27Z",
    "title_canon_sha256": "151948b9c652f2b4c5921093b101325e74098316312a402ec122dfac5081f391"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2124",
    "kind": "arxiv",
    "version": 1
  }
}