Pith Number

pith:Z6Q5IWBL

pith:2011:Z6Q5IWBLFS74QFZM5X5B37TD7A

not attested not anchored not stored refs pending

Nonintersecting Brownian motions on the half-line and discrete Gaussian orthogonal polynomials

Karl Liechty

arxiv:1111.4239 v4 · 2011-11-17 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z6Q5IWBLFS74QFZM5X5B37TD7A}

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	2026-05-18T01:59:29.574030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfa1d4582b2cbfc8172cedfa1dfe63f80173774d88e869cc30d9ae8c2ce7b5c1

Aliases

arxiv: 1111.4239 · arxiv_version: 1111.4239v4 · doi: 10.48550/arxiv.1111.4239 · pith_short_12: Z6Q5IWBLFS74 · pith_short_16: Z6Q5IWBLFS74QFZM · pith_short_8: Z6Q5IWBL

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/Z6Q5IWBLFS74QFZM5X5B37TD7A \
  | 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: cfa1d4582b2cbfc8172cedfa1dfe63f80173774d88e869cc30d9ae8c2ce7b5c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bb0503ce4b8a853f5e56b85ebb339e6caeb99e4156f9cf9cae7c1abd2dc79e2",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-17T23:36:17Z",
    "title_canon_sha256": "87b752cd0588b85a22931098d94a24eb7240fb7008baba37f100fabe64897e74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4239",
    "kind": "arxiv",
    "version": 4
  }
}