Pith Number

pith:T6K3GI7M

pith:2010:T6K3GI7MIERXUOBMPKD5IC72F2

not attested not anchored not stored refs pending

Minimal strong digraphs

Carlos Mariju\'an, Jes\'us Garc\'ia-L\'opez

arxiv:1004.4827 v1 · 2010-04-27 · 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{T6K3GI7MIERXUOBMPKD5IC72F2}

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	2026-05-18T02:24:15.842549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f95b323ec41237a382c7a87d40bfa2e91de15f4653f6bb27e320fdb8e318f87

Aliases

arxiv: 1004.4827 · arxiv_version: 1004.4827v1 · doi: 10.48550/arxiv.1004.4827 · pith_short_12: T6K3GI7MIERX · pith_short_16: T6K3GI7MIERXUOBM · pith_short_8: T6K3GI7M

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/T6K3GI7MIERXUOBMPKD5IC72F2 \
  | 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: 9f95b323ec41237a382c7a87d40bfa2e91de15f4653f6bb27e320fdb8e318f87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cce0d3f10064ca45eb62f2cb02d73ca5ae179763217762cfed3f8e00fe2355ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-04-27T14:58:54Z",
    "title_canon_sha256": "a0c0c858b6913cc5ac7093a751672db5a794923fcadc25a653e81aba503b1be6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4827",
    "kind": "arxiv",
    "version": 1
  }
}