Pith Number

pith:R6GS4LK7

pith:2011:R6GS4LK7LA7P7SH7XKPHVC7RQB

not attested not anchored not stored refs pending

The Shape of the Noncentral Chi-square Density

Yaming Yu

arxiv:1106.5241 v1 · 2011-06-26 · math.ST · math.CA · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6GS4LK7LA7P7SH7XKPHVC7RQB}

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	2026-05-18T04:19:14.035793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f8d2e2d5f583effc8ffba9e7a8bf1805ad86f0cd8e939c0bcb614c7173fddd7

Aliases

arxiv: 1106.5241 · arxiv_version: 1106.5241v1 · doi: 10.48550/arxiv.1106.5241 · pith_short_12: R6GS4LK7LA7P · pith_short_16: R6GS4LK7LA7P7SH7 · pith_short_8: R6GS4LK7

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/R6GS4LK7LA7P7SH7XKPHVC7RQB \
  | 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: 8f8d2e2d5f583effc8ffba9e7a8bf1805ad86f0cd8e939c0bcb614c7173fddd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5fafdbff642342c399e73703773d43e23a5dc7e1de3f79aad24d1e1c074ef2c",
    "cross_cats_sorted": [
      "math.CA",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-06-26T18:05:30Z",
    "title_canon_sha256": "b68f54c3c2e7eddf3ba9632c92b6bad3609a4c52e7851b905e5e1ee7cb6a2c43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5241",
    "kind": "arxiv",
    "version": 1
  }
}