Pith Number

pith:YADDYRZM

pith:2013:YADDYRZMD5QN27YNJURCNHCFPE

not attested not anchored not stored refs pending

Gap probabilities for the Generalized Bessel process: a Riemann-Hilbert approach

Manuela Girotti

arxiv:1309.7015 v1 · 2013-09-26 · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YADDYRZMD5QN27YNJURCNHCFPE}

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	2026-05-18T01:47:26.005145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0063c472c1f60dd7f0d4d22269c4579362add7a8fd6b4f17a37e558f1178b1e

Aliases

arxiv: 1309.7015 · arxiv_version: 1309.7015v1 · doi: 10.48550/arxiv.1309.7015 · pith_short_12: YADDYRZMD5QN · pith_short_16: YADDYRZMD5QN27YN · pith_short_8: YADDYRZM

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/YADDYRZMD5QN27YNJURCNHCFPE \
  | 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: c0063c472c1f60dd7f0d4d22269c4579362add7a8fd6b4f17a37e558f1178b1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7691af8bd2614bce56c2ad8d676f8dc1c3764e7320ec01db881a1ff25784253",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-26T19:04:59Z",
    "title_canon_sha256": "1ff7d86bb104553ddc724a4338c15ef1ece8ed276e35d3f0d57de269d96d80b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7015",
    "kind": "arxiv",
    "version": 1
  }
}