Pith. sign in
Pith Number

pith:2VJUM5ID

pith:2026:2VJUM5IDCFUNLM3T57PW2MISYC
not attested not anchored not stored refs pending

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

C. Alexander Rodriguez

arxiv:2608.02772 v1 · 2026-08-03 · math.PR · math-ph · math.MP · nlin.SI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2VJUM5IDCFUNLM3T57PW2MISYC}

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 2026-08-05T00:39:58.383391Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d5534675031168d5b373efdf6d3112c08d76f9529dd06a6ce2ed0c04c0547cb5

Aliases

arxiv: 2608.02772 · arxiv_version: 2608.02772v1 · doi: 10.48550/arxiv.2608.02772 · pith_short_12: 2VJUM5IDCFUN · pith_short_16: 2VJUM5IDCFUNLM3T · pith_short_8: 2VJUM5ID
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2VJUM5IDCFUNLM3T57PW2MISYC \
  | 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: d5534675031168d5b373efdf6d3112c08d76f9529dd06a6ce2ed0c04c0547cb5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e9fc5d863e0bcc8d6cac6ec69a723eff95293f1cde0d5e5f317ae69a4e30afa6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-08-03T18:12:11Z",
    "title_canon_sha256": "d1f6da86817ca903c1cfeb0cc74f9c45b7298665b7219ac978a1d82eecf3f403"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02772",
    "kind": "arxiv",
    "version": 1
  }
}