Pith Number

pith:D67RZG23

pith:2019:D67RZG23NOS3OXZK4PWRU5BQZI

not attested not anchored not stored refs pending

The asymptotics of the partition of the cube into Weyl simplices, and an encoding of a Bernoulli scheme

A.Vershik

arxiv:1904.02924 v1 · 2019-04-05 · 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{D67RZG23NOS3OXZK4PWRU5BQZI}

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	2026-05-17T23:49:19.209640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fbf1c9b5b6ba5b75f2ae3ed1a7430ca2204712e7ca74ecf17dd4efeca0d45c7

Aliases

arxiv: 1904.02924 · arxiv_version: 1904.02924v1 · doi: 10.48550/arxiv.1904.02924 · pith_short_12: D67RZG23NOS3 · pith_short_16: D67RZG23NOS3OXZK · pith_short_8: D67RZG23

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/D67RZG23NOS3OXZK4PWRU5BQZI \
  | 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: 1fbf1c9b5b6ba5b75f2ae3ed1a7430ca2204712e7ca74ecf17dd4efeca0d45c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84359e8efac4defd60acae7b088fa2d1f9adfbaeed2ae0ba1b2676473b96df70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-05T08:10:00Z",
    "title_canon_sha256": "8f789dd7e377f6acf4e38b38a05785ae2269e3ed6fc70f4f375d022328a2428f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.02924",
    "kind": "arxiv",
    "version": 1
  }
}