Pith Number

pith:B7GTWCXQ

pith:2019:B7GTWCXQNUOBKUS6I2T4WHNJLP

not attested not anchored not stored refs pending

Frobenius manifolds and a new class of extended affine Weyl groups $\widetilde{W}^{(k,k+1)}(A_l)$

Dafeng Zuo

arxiv:1905.09470 v2 · 2019-05-22 · math.DG · math-ph · math.MP · 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{B7GTWCXQNUOBKUS6I2T4WHNJLP}

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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

Rank shift conditions and reductions of 2d-Toda theory

Receipt and verification

First computed	2026-07-05T00:57:05.314079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fcd3b0af06d1c15525e46a7cb1da95bc793342870ebb92b04bff1be6943753a

Aliases

arxiv: 1905.09470 · arxiv_version: 1905.09470v2 · doi: 10.48550/arxiv.1905.09470 · pith_short_12: B7GTWCXQNUOB · pith_short_16: B7GTWCXQNUOBKUS6 · pith_short_8: B7GTWCXQ

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/B7GTWCXQNUOBKUS6I2T4WHNJLP \
  | 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: 0fcd3b0af06d1c15525e46a7cb1da95bc793342870ebb92b04bff1be6943753a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aa72b213b70d4df9e2275fdfe934c27ef0f0174325dc0b72c3627fdad5b372d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-05-22T14:38:42Z",
    "title_canon_sha256": "6269222e064500e0de5e0690992bf5022785dba24c6df72101d07924aab11183"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.09470",
    "kind": "arxiv",
    "version": 2
  }
}