Pith Number

pith:TWNQDKNI

pith:2010:TWNQDKNI7ITR2ZN23G7HACEGZ6

not attested not anchored not stored refs pending

Non-intersecting squared Bessel paths: critical time and double scaling limit

A. B. J. Kuijlaars, A. Martinez-Finkelshtein, F. Wielonsky

arxiv:1011.1278 v1 · 2010-11-04 · math.CA · 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{TWNQDKNI7ITR2ZN23G7HACEGZ6}

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	2026-05-18T02:04:52.701565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d9b01a9a8fa271d65bad9be700886cf84490fb3d439dc673951ef9a8d455e21

Aliases

arxiv: 1011.1278 · arxiv_version: 1011.1278v1 · doi: 10.48550/arxiv.1011.1278 · pith_short_12: TWNQDKNI7ITR · pith_short_16: TWNQDKNI7ITR2ZN2 · pith_short_8: TWNQDKNI

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/TWNQDKNI7ITR2ZN23G7HACEGZ6 \
  | 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: 9d9b01a9a8fa271d65bad9be700886cf84490fb3d439dc673951ef9a8d455e21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e684c4a7d6da5d7f0343cc3dcf9f573b5f40429ab74935848e4c7a7ae138b3e8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-11-04T21:47:37Z",
    "title_canon_sha256": "588f5aa1d9ad4da9ef913492ca4ab890842dae2846bcbe5535ad5c4fd87ec57d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1278",
    "kind": "arxiv",
    "version": 1
  }
}