Pith Number

pith:PTX7XYKH

pith:1999:PTX7XYKHMWLITUZGAXKLUART2T

not attested not anchored not stored refs pending

Picard-Fuchs Equations and Whitham Hierarchy in N=2 Supersymmetric SU(r+1) Yang-Mills Theory

Kyoto Univ.), Yuji Ohta (Res. Inst. Math. Sci.

arxiv:hep-th/9906207 v3 · 1999-06-27 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTX7XYKHMWLITUZGAXKLUART2T}

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	2026-05-18T02:35:54.360122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ceffbe147659689d32605d4ba0233d4f5778ec8cef0f2c58360631caaec2e02

Aliases

arxiv: hep-th/9906207 · arxiv_version: hep-th/9906207v3 · doi: 10.48550/arxiv.hep-th/9906207 · pith_short_12: PTX7XYKHMWLI · pith_short_16: PTX7XYKHMWLITUZG · pith_short_8: PTX7XYKH

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/PTX7XYKHMWLITUZGAXKLUART2T \
  | 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: 7ceffbe147659689d32605d4ba0233d4f5778ec8cef0f2c58360631caaec2e02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f4cf943d441def219c06e5f7a0b4a961dd5a3fe976906b47dbfd2b77af8689b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-06-27T07:12:04Z",
    "title_canon_sha256": "56df0c308046bf9028fc43ee780e2c2356f22902a55a995c60d77965f5108cde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9906207",
    "kind": "arxiv",
    "version": 3
  }
}