Pith Number

pith:GTXFRW7L

pith:2016:GTXFRW7LIZROFVINN54O2RCJCK

not attested not anchored not stored refs pending

The Tracy-Widom distribution is not infinitely divisible

J. Armando Dom\'inguez-Molina

arxiv:1601.02898 v1 · 2016-01-12 · 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{GTXFRW7LIZROFVINN54O2RCJCK}

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	2026-05-18T01:22:59.383703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34ee58dbeb4662e2d50d6f78ed4449129396cdb1c5adae91cd9ab61ec26bfcc1

Aliases

arxiv: 1601.02898 · arxiv_version: 1601.02898v1 · doi: 10.48550/arxiv.1601.02898 · pith_short_12: GTXFRW7LIZRO · pith_short_16: GTXFRW7LIZROFVIN · pith_short_8: GTXFRW7L

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/GTXFRW7LIZROFVINN54O2RCJCK \
  | 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: 34ee58dbeb4662e2d50d6f78ed4449129396cdb1c5adae91cd9ab61ec26bfcc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a155fd79c715448b1bb89c619b3ca9ef8b3482cda8c67afe09f8466640e12761",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-12T15:10:20Z",
    "title_canon_sha256": "b4a1f8dcd05b98bbf9113ddaf21e84433490a7c790cba32f182a572a908456ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02898",
    "kind": "arxiv",
    "version": 1
  }
}