Pith Number

pith:KP3XFN74

pith:2014:KP3XFN74RTPBMXFECMRIYTWIBQ

not attested not anchored not stored refs pending

The Markov basis of $K_{3,N}$

Johannes Rauh, Seth Sullivant

arxiv:1406.5936 v2 · 2014-06-23 · math.AC · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KP3XFN74RTPBMXFECMRIYTWIBQ}

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	2026-05-18T02:48:56.145019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53f772b7fc8cde165ca413228c4ec80c1d5232ec5c3e0c01997de6cc37c89048

Aliases

arxiv: 1406.5936 · arxiv_version: 1406.5936v2 · doi: 10.48550/arxiv.1406.5936 · pith_short_12: KP3XFN74RTPB · pith_short_16: KP3XFN74RTPBMXFE · pith_short_8: KP3XFN74

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/KP3XFN74RTPBMXFECMRIYTWIBQ \
  | 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: 53f772b7fc8cde165ca413228c4ec80c1d5232ec5c3e0c01997de6cc37c89048

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8f8724685eff853f823d860b79c194736994ba7790f8fdbe6111d9e6b6b8c52",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-06-23T15:05:42Z",
    "title_canon_sha256": "e4997904384b81c9e312f5c17e5411db35e4c7d99f8e1e6a49aeca5698e321e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5936",
    "kind": "arxiv",
    "version": 2
  }
}