Pith Number

pith:APJTOZ2O

pith:2012:APJTOZ2O4KDCZWRIFT5ILFTWGX

not attested not anchored not stored refs pending

Combinatorial Markov chains on linear extensions

Anne Schilling, Arvind Ayyer, Steven Klee

arxiv:1205.7074 v3 · 2012-05-31 · math.CO · cs.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APJTOZ2O4KDCZWRIFT5ILFTWGX}

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	2026-05-18T02:52:42.358608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d337674ee2862cda282cfa85967635e7ed5eb16483bda8503547e3fbf1d96c

Aliases

arxiv: 1205.7074 · arxiv_version: 1205.7074v3 · doi: 10.48550/arxiv.1205.7074 · pith_short_12: APJTOZ2O4KDC · pith_short_16: APJTOZ2O4KDCZWRI · pith_short_8: APJTOZ2O

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/APJTOZ2O4KDCZWRIFT5ILFTWGX \
  | 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: 03d337674ee2862cda282cfa85967635e7ed5eb16483bda8503547e3fbf1d96c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8d94d464e9a60a5ba060beeb5ab909a088ee8c2769cfdea94465bca76c97933",
    "cross_cats_sorted": [
      "cs.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-31T19:02:13Z",
    "title_canon_sha256": "bc948946d6dd53679563a804c71c29086ed692bd1b118af5ff5ff780e1646945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.7074",
    "kind": "arxiv",
    "version": 3
  }
}