Pith Number

pith:SVKSQBRC

pith:2006:SVKSQBRCMQ3BFUPVLNVLKMBJ3J

not attested not anchored not stored refs pending

On an identity due to ((Bump and Diaconis) and (Tracy and Widom))

Paul-Olivier Dehaye

arxiv:math/0601348 v3 · 2006-01-14 · math.CO · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SVKSQBRCMQ3BFUPVLNVLKMBJ3J}

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	2026-05-18T04:22:51.261824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9555280622643612d1f55b6ab53029da5c099af3a6049452d094900a72328335

Aliases

arxiv: math/0601348 · arxiv_version: math/0601348v3 · doi: 10.48550/arxiv.math/0601348 · pith_short_12: SVKSQBRCMQ3B · pith_short_16: SVKSQBRCMQ3BFUPV · pith_short_8: SVKSQBRC

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/SVKSQBRCMQ3BFUPVLNVLKMBJ3J \
  | 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: 9555280622643612d1f55b6ab53029da5c099af3a6049452d094900a72328335

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4837a990c1496a33531ad43a806006a8dd0f6cf3e84847d7cf16b9444726fbb2",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2006-01-14T00:04:01Z",
    "title_canon_sha256": "5cb63ed5235daf5e273b372b4d6960d20b10f6719eacdfb0e3640f12fd357c9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601348",
    "kind": "arxiv",
    "version": 3
  }
}