Pith Number

pith:MW5BMSQI

pith:2016:MW5BMSQIWK7Z5UXV3Q6BICF3XQ

not attested not anchored not stored refs pending

Lectures on Integrable probability: Stochastic vertex models and symmetric functions

Alexei Borodin, Leonid Petrov

arxiv:1605.01349 v1 · 2016-05-04 · math.PR · math-ph · math.CO · math.MP · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MW5BMSQIWK7Z5UXV3Q6BICF3XQ}

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.

Cited by

1 paper in Pith

Non-Abelian Hirota-Miwa Equations for the KPZ Universality Class

Receipt and verification

First computed	2026-05-18T01:15:37.036629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65ba164a08b2bf9ed2f5dc3c1408bbbc0eaa2ebe1a95a2ec9336637e6e2fa403

Aliases

arxiv: 1605.01349 · arxiv_version: 1605.01349v1 · doi: 10.48550/arxiv.1605.01349 · pith_short_12: MW5BMSQIWK7Z · pith_short_16: MW5BMSQIWK7Z5UXV · pith_short_8: MW5BMSQI

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/MW5BMSQIWK7Z5UXV3Q6BICF3XQ \
  | 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: 65ba164a08b2bf9ed2f5dc3c1408bbbc0eaa2ebe1a95a2ec9336637e6e2fa403

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7a6555dee00cff26701011f496ebdcd8547087f09324d5587b75abb37be7063",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-04T17:13:18Z",
    "title_canon_sha256": "330554a048c4cf29f20c139943b7b60bd7c3147a9129a9cee9be1a1d9c5ed1d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01349",
    "kind": "arxiv",
    "version": 1
  }
}