Pith Number

pith:T4BL5LRL

pith:2014:T4BL5LRLZXZBL7IUT6JGNRPDOK

not attested not anchored not stored refs pending

Stein's method, semicircle distribution, and reduced decompositions of the longest element in the symmetric group

Jason Fulman, Larry Goldstein

arxiv:1405.1088 v1 · 2014-05-05 · 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{T4BL5LRLZXZBL7IUT6JGNRPDOK}

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	2026-05-18T02:52:33.526102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f02beae2bcdf215fd149f9266c5e372a08aa5d3b53d4110d822b905b0d682bb

Aliases

arxiv: 1405.1088 · arxiv_version: 1405.1088v1 · doi: 10.48550/arxiv.1405.1088 · pith_short_12: T4BL5LRLZXZB · pith_short_16: T4BL5LRLZXZBL7IU · pith_short_8: T4BL5LRL

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/T4BL5LRLZXZBL7IUT6JGNRPDOK \
  | 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: 9f02beae2bcdf215fd149f9266c5e372a08aa5d3b53d4110d822b905b0d682bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c650d4b3c1320b5d271140694f6cf7fda7fc5e38596d7e9e857875437edf0d1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-05T21:53:14Z",
    "title_canon_sha256": "1b9e74d0b91a57a68b35e02e2df77361340560a898c23800cce3b3d5442ad585"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1088",
    "kind": "arxiv",
    "version": 1
  }
}