Pith Number

pith:45LD33JC

pith:2016:45LD33JCRRUFJZMWF72SJQRH22

not attested not anchored not stored refs pending

Stochastic Airy semigroup through tridiagonal matrices

Mykhaylo Shkolnikov, Vadim Gorin

arxiv:1601.06800 v1 · 2016-01-25 · 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{45LD33JCRRUFJZMWF72SJQRH22}

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	2026-05-18T01:21:59.765826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7563ded228c6854e5962ff524c227d6b6877051705462f8d8406622103c69c8

Aliases

arxiv: 1601.06800 · arxiv_version: 1601.06800v1 · doi: 10.48550/arxiv.1601.06800 · pith_short_12: 45LD33JCRRUF · pith_short_16: 45LD33JCRRUFJZMW · pith_short_8: 45LD33JC

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/45LD33JCRRUFJZMWF72SJQRH22 \
  | 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: e7563ded228c6854e5962ff524c227d6b6877051705462f8d8406622103c69c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0b10f4454fd6733caf8dafadb117d8a03dee3c21f11a0312783a51b9c49fe4b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-25T21:06:36Z",
    "title_canon_sha256": "3a645c6494ea604101d87a96b37755a12ef466d4f02229b1e761a1ccdb317946"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06800",
    "kind": "arxiv",
    "version": 1
  }
}