Pith Number

pith:GYBS2SBO

pith:2018:GYBS2SBOMQ6SCGXZAMNQY2PYYN

not attested not anchored not stored refs pending

Hurwitz numbers and integrable hierarchy of Volterra type

Kanehisa Takasaki

arxiv:1807.00085 v3 · 2018-06-29 · math-ph · hep-th · math.MP · math.QA · 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{GYBS2SBOMQ6SCGXZAMNQY2PYYN}

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	2026-05-18T00:04:39.247418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36032d482e643d211af9031b0c69f8c36f3f1cde2d466ab89f83e2315318783a

Aliases

arxiv: 1807.00085 · arxiv_version: 1807.00085v3 · doi: 10.48550/arxiv.1807.00085 · pith_short_12: GYBS2SBOMQ6S · pith_short_16: GYBS2SBOMQ6SCGXZ · pith_short_8: GYBS2SBO

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/GYBS2SBOMQ6SCGXZAMNQY2PYYN \
  | 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: 36032d482e643d211af9031b0c69f8c36f3f1cde2d466ab89f83e2315318783a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "710667c97299acf95a01ab8de87db9a2d1d0fc4680b7fd1b30cf93663ac99e90",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.QA",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-06-29T23:37:34Z",
    "title_canon_sha256": "15088d32dea241fd581a36c0965db373d57735946ae2688fd3402e51f565c51d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.00085",
    "kind": "arxiv",
    "version": 3
  }
}