Pith Number

pith:LIZGWDXB

pith:1997:LIZGWDXBF3QK2EFAGK3CJE44CD

not attested not anchored not stored refs pending

Mirror symmetry and Exact Solution of 4D N=2 Gauge Theories I

C. Vafa, P. Mayr, S. Katz

arxiv:hep-th/9706110 v2 · 1997-06-13 · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LIZGWDXBF3QK2EFAGK3CJE44CD}

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.

Cited by

2 papers in Pith

$S$-duality, boundary states, and higher-form symmetries on ALE spaces

The CFT Distance Conjecture and Tensionless String Limits in $\mathcal N=2$ Quiver Gauge Theories

Receipt and verification

First computed	2026-07-04T15:27:29.700127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a326b0ee12ee0ad10a032b624939c10cfd2cfede2da321524065c8fe9e2e43d

Aliases

arxiv: hep-th/9706110 · arxiv_version: hep-th/9706110v2 · doi: 10.48550/arxiv.hep-th/9706110 · pith_short_12: LIZGWDXBF3QK · pith_short_16: LIZGWDXBF3QK2EFA · pith_short_8: LIZGWDXB

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/LIZGWDXBF3QK2EFAGK3CJE44CD \
  | 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: 5a326b0ee12ee0ad10a032b624939c10cfd2cfede2da321524065c8fe9e2e43d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c237fbd88a10d21e2c0a9b8aa120f1182dc9c783a10e722db3f2d741e97f859",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1997-06-13T21:41:29Z",
    "title_canon_sha256": "adf95c5082175b402389c09303026ccd5749891b49320b8d6e6e7a1ab891050c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9706110",
    "kind": "arxiv",
    "version": 2
  }
}