Pith Number

pith:4XKBEDZP

pith:2012:4XKBEDZPGRAUWZRIKIJ2PP3VYV

not attested not anchored not stored refs pending

De combinatoriek van De Bruijn

T. Kloks

arxiv:1208.1361 v12 · 2012-08-07 · math.CO · math.HO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XKBEDZPGRAUWZRIKIJ2PP3VYV}

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	2026-05-18T03:37:08.287284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5d4120f2f34414b66285213a7bf75c576f34bfceb6415d48f0ac9d44cb10213

Aliases

arxiv: 1208.1361 · arxiv_version: 1208.1361v12 · doi: 10.48550/arxiv.1208.1361 · pith_short_12: 4XKBEDZPGRAU · pith_short_16: 4XKBEDZPGRAUWZRI · pith_short_8: 4XKBEDZP

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/4XKBEDZPGRAUWZRIKIJ2PP3VYV \
  | 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: e5d4120f2f34414b66285213a7bf75c576f34bfceb6415d48f0ac9d44cb10213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c086adf3ecc4e80fbb63324efeb6376a784f62883f3211f94cb87aa5167afb8",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-07T08:21:48Z",
    "title_canon_sha256": "5d24de007fe2ff0242820498c991dc339d33b37ea9e3843f2940c8449afb4675"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1361",
    "kind": "arxiv",
    "version": 12
  }
}