Pith Number

pith:DMJ7FJMJ

pith:2024:DMJ7FJMJNF2CE6SXQTD2UP7BKD

not attested not anchored not stored refs pending

Airy$_\beta$ line ensemble and its Laplace transform

Jiaming Xu, Lingfu Zhang, Vadim Gorin

arxiv:2411.10829 v1 · 2024-11-16 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DMJ7FJMJNF2CE6SXQTD2UP7BKD}

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.

Cited by

1 paper in Pith

The Tracy-Widom distribution at large Dyson index

Receipt and verification

First computed	2026-07-05T09:36:22.970156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b13f2a5896974227a5784c7aa3fe150e289e3575b2aec4934508f8262fcc27d

Aliases

arxiv: 2411.10829 · arxiv_version: 2411.10829v1 · doi: 10.48550/arxiv.2411.10829 · pith_short_12: DMJ7FJMJNF2C · pith_short_16: DMJ7FJMJNF2CE6SX · pith_short_8: DMJ7FJMJ

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/DMJ7FJMJNF2CE6SXQTD2UP7BKD \
  | 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: 1b13f2a5896974227a5784c7aa3fe150e289e3575b2aec4934508f8262fcc27d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70d11febc95a0587f316558105bd0ad7adf19b6ddf6256c764d7729c09b194d9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-11-16T15:54:24Z",
    "title_canon_sha256": "b9b1f979a763e5d5da655b4d5af114acd526c1f89055382bed389b68037b54dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.10829",
    "kind": "arxiv",
    "version": 1
  }
}