Pith Number

pith:TGJWQS4F

pith:2017:TGJWQS4FMTTOZ2GCREXA2YVUKA

not attested not anchored not stored refs pending

Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painlev\'e II system

Dan Dai, Shuai-Xia Xu

arxiv:1708.06113 v2 · 2017-08-21 · 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{TGJWQS4FMTTOZ2GCREXA2YVUKA}

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	2026-05-18T00:05:00.435791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9993684b8564e6ece8c2892e0d62b4502203625ab6f6ceb904182977262aaaa7

Aliases

arxiv: 1708.06113 · arxiv_version: 1708.06113v2 · doi: 10.48550/arxiv.1708.06113 · pith_short_12: TGJWQS4FMTTO · pith_short_16: TGJWQS4FMTTOZ2GC · pith_short_8: TGJWQS4F

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/TGJWQS4FMTTOZ2GCREXA2YVUKA \
  | 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: 9993684b8564e6ece8c2892e0d62b4502203625ab6f6ceb904182977262aaaa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "901eba6d957b406d784472f0011337563891cfaf9e028d450a302cdadf90cb0d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-08-21T08:21:54Z",
    "title_canon_sha256": "9eeff09420b74a8a12cb1d5c988f59a01678b3bd472ed8af66568a1e8d176b8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06113",
    "kind": "arxiv",
    "version": 2
  }
}