Pith Number

pith:5TPCYI36

pith:2014:5TPCYI36KEJKRZVXNOKSLIDADI

not attested not anchored not stored refs pending

Painlev\'e representation of Tracy-Widom$_\beta$ distribution for $\beta = 6$

Igor Rumanov

arxiv:1408.3779 v3 · 2014-08-17 · math-ph · hep-th · math.MP · math.PR · 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{5TPCYI36KEJKRZVXNOKSLIDADI}

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	2026-05-18T01:12:40.693629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecde2c237e5112a8e6b76b9525a0601a02fbe21b072f643917e96bff5c040b27

Aliases

arxiv: 1408.3779 · arxiv_version: 1408.3779v3 · doi: 10.48550/arxiv.1408.3779 · pith_short_12: 5TPCYI36KEJK · pith_short_16: 5TPCYI36KEJKRZVX · pith_short_8: 5TPCYI36

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/5TPCYI36KEJKRZVXNOKSLIDADI \
  | 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: ecde2c237e5112a8e6b76b9525a0601a02fbe21b072f643917e96bff5c040b27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a446996a7e7ac2890e8fb212e77624c13c27d82a069384a2af6787fb1f89aaaa",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.PR",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-08-17T00:38:21Z",
    "title_canon_sha256": "5d5dbd29275b5223abd2dce90982122c11752f3739c74365ab72c9cf2db9ca07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3779",
    "kind": "arxiv",
    "version": 3
  }
}