Pith Number

pith:66QBJMVN

pith:2012:66QBJMVNRUBJLGFJTE5DZYWZDH

not attested not anchored not stored refs pending

Constant 2-labellings and an application to (r,a,b)-covering codes

Elise Vandomme, Sylvain Gravier

arxiv:1211.5326 v2 · 2012-11-22 · 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{66QBJMVNRUBJLGFJTE5DZYWZDH}

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	2026-05-18T00:17:27.428888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7a014b2ad8d029598a9993a3ce2d919cb04269a3d770aae16d731ea9e1f43c9

Aliases

arxiv: 1211.5326 · arxiv_version: 1211.5326v2 · doi: 10.48550/arxiv.1211.5326 · pith_short_12: 66QBJMVNRUBJ · pith_short_16: 66QBJMVNRUBJLGFJ · pith_short_8: 66QBJMVN

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/66QBJMVNRUBJLGFJTE5DZYWZDH \
  | 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: f7a014b2ad8d029598a9993a3ce2d919cb04269a3d770aae16d731ea9e1f43c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "740c3710ebe9b80b9549cddca811c9ac57ea04009226ddcff2b0953fb9f2e11e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-22T16:19:22Z",
    "title_canon_sha256": "865a355bb3f0648d1863551255214ba2e9a24aeb3a0e76b7eaf904443cda1dff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5326",
    "kind": "arxiv",
    "version": 2
  }
}