Pith Number

pith:LNJVETHV

pith:2013:LNJVETHVVUN5LP3ONXONWEMDFD

not attested not anchored not stored refs pending

Markov chains for promotion operators

Anne Schilling, Arvind Ayyer, Steven Klee

arxiv:1307.7499 v1 · 2013-07-29 · math.PR · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNJVETHVVUN5LP3ONXONWEMDFD}

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	2026-05-18T02:49:10.016348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b53524cf5ad1bd5bf6e6ddcdb118328fe6dc25e7b3137a2dfcee238c9438967

Aliases

arxiv: 1307.7499 · arxiv_version: 1307.7499v1 · doi: 10.48550/arxiv.1307.7499 · pith_short_12: LNJVETHVVUN5 · pith_short_16: LNJVETHVVUN5LP3O · pith_short_8: LNJVETHV

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/LNJVETHVVUN5LP3ONXONWEMDFD \
  | 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: 5b53524cf5ad1bd5bf6e6ddcdb118328fe6dc25e7b3137a2dfcee238c9438967

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eecb4f05f47dd53f3a93384cee65a33473a827c9bd4f82aef3f27e33199ea71",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-29T08:42:16Z",
    "title_canon_sha256": "03623ec72a600eaa53fcc0d462e2291147259e882d675a860d41359400bdf2b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7499",
    "kind": "arxiv",
    "version": 1
  }
}