Pith Number

pith:GCY626VM

pith:2014:GCY626VMIOEYJSWIPB3SSNBYNO

not attested not anchored not stored refs pending

Multivariate Juggling Probabilities

Arvind Ayyer, Fran\c{c}ois Nunzi, J\'er\'emie Bouttier, Sylvie Corteel

arxiv:1402.3752 v3 · 2014-02-16 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCY626VMIOEYJSWIPB3SSNBYNO}

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	2026-05-18T02:29:17.522996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30b1ed7aac438984cac878772934386b9de231d4dfb775d323bcd3f34d45af2a

Aliases

arxiv: 1402.3752 · arxiv_version: 1402.3752v3 · doi: 10.48550/arxiv.1402.3752 · pith_short_12: GCY626VMIOEY · pith_short_16: GCY626VMIOEYJSWI · pith_short_8: GCY626VM

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/GCY626VMIOEYJSWIPB3SSNBYNO \
  | 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: 30b1ed7aac438984cac878772934386b9de231d4dfb775d323bcd3f34d45af2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb40cf05b49dd9a32199c694ed35e5ff4acf39c1e2b1247c6fc2ffb2b6de0da0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-16T04:27:27Z",
    "title_canon_sha256": "768562ad3f205ad20af619a42a34d117f2bce58e660e1efc222c51c1e07d357f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3752",
    "kind": "arxiv",
    "version": 3
  }
}