Pith Number

pith:RZGC4U4L

pith:1999:RZGC4U4LWYTZYZT3A23PSNBKGC

not attested not anchored not stored refs pending

Whitham Deformations of Seiberg-Witten Curves for Classical Gauge Groups

Kanehisa Takasaki

arxiv:hep-th/9901120 v2 · 1999-01-25 · hep-th · math.QA · nlin.SI · solv-int

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RZGC4U4LWYTZYZT3A23PSNBKGC}

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	2026-05-18T00:53:51.982192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e4c2e538bb6279c667b06b6f9342a30aea759f002c79c25f9831e771676a871

Aliases

arxiv: hep-th/9901120 · arxiv_version: hep-th/9901120v2 · doi: 10.48550/arxiv.hep-th/9901120 · pith_short_12: RZGC4U4LWYTZ · pith_short_16: RZGC4U4LWYTZYZT3 · pith_short_8: RZGC4U4L

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/RZGC4U4LWYTZYZT3A23PSNBKGC \
  | 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: 8e4c2e538bb6279c667b06b6f9342a30aea759f002c79c25f9831e771676a871

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f1359d41a66b2e2049e60d8a87d8aa26e033cc3982daef24c631c51a439db5f",
    "cross_cats_sorted": [
      "math.QA",
      "nlin.SI",
      "solv-int"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-01-25T11:40:40Z",
    "title_canon_sha256": "42be3cb1641b99ca9caea7562b0e2c8a0cfa972160fb919c06d9ad2a6ad478aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9901120",
    "kind": "arxiv",
    "version": 2
  }
}