Pith Number

pith:XFHHGPIB

pith:2004:XFHHGPIBDIAI6V5LAIVBW2Y7GA

not attested not anchored not stored refs pending

Two Dimensional Yang-Mills, Black Holes and Topological Strings

Cumrun Vafa

arxiv:hep-th/0406058 v2 · 2004-06-07 · 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{XFHHGPIBDIAI6V5LAIVBW2Y7GA}

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	2026-07-04T14:32:15.342521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b94e733d011a008f57ab022a1b6b1f303484b2574d4b73bd0bb689df34e28e49

Aliases

arxiv: hep-th/0406058 · arxiv_version: hep-th/0406058v2 · doi: 10.48550/arxiv.hep-th/0406058 · pith_short_12: XFHHGPIBDIAI · pith_short_16: XFHHGPIBDIAI6V5L · pith_short_8: XFHHGPIB

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/XFHHGPIBDIAI6V5LAIVBW2Y7GA \
  | 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: b94e733d011a008f57ab022a1b6b1f303484b2574d4b73bd0bb689df34e28e49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f522bb2a0592ab3ba87580dbde794bf55fcca258b2e0605d0fc8cfd229206c2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-06-07T12:44:49Z",
    "title_canon_sha256": "b25ccbb7e953367dfa960e480b6d24f14b89815a0ead62ee9b28c590062e5d1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0406058",
    "kind": "arxiv",
    "version": 2
  }
}