Pith Number

pith:ZFEGKLNY

pith:2013:ZFEGKLNYELH4FC2BZE73V2WVEA

not attested not anchored not stored refs pending

On a Seminal Paper by Karlin and McGregor

F. Alberto Gr\"unbaum, Mirta M. Castro

arxiv:1303.0361 v1 · 2013-03-02 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZFEGKLNYELH4FC2BZE73V2WVEA}

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	2026-05-18T03:31:56.351931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c948652db822cfc28b41c93fbaead5200d667cb15435d0e8e99536f8fbb1e547

Aliases

arxiv: 1303.0361 · arxiv_version: 1303.0361v1 · doi: 10.48550/arxiv.1303.0361 · pith_short_12: ZFEGKLNYELH4 · pith_short_16: ZFEGKLNYELH4FC2B · pith_short_8: ZFEGKLNY

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/ZFEGKLNYELH4FC2BZE73V2WVEA \
  | 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: c948652db822cfc28b41c93fbaead5200d667cb15435d0e8e99536f8fbb1e547

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75a338be3582dad2f16e339c8a9679fc08cbfd78397c01d0301ca5b309364248",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-02T06:52:14Z",
    "title_canon_sha256": "c5670224353af7da2de70f0f66205c95063a466b2ed55ef3fab7b1641a237373"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0361",
    "kind": "arxiv",
    "version": 1
  }
}