Pith Number

pith:PPPIRAZA

pith:2000:PPPIRAZAURMAKNGRLKOX3FFHVE

not attested not anchored not stored refs pending

Two Two-Dimensional Supergravity Theories from Calabi-Yau Four-Folds

Edward Witten, Jr., Sergei Gukov, S. James Gates

arxiv:hep-th/0005120 v1 · 2000-05-12 · 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{PPPIRAZAURMAKNGRLKOX3FFHVE}

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	2026-05-18T03:47:11.072577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bde888320a4580534d15a9d7d94a7a91b9133bd4147ceb636dfd12872b43d9a

Aliases

arxiv: hep-th/0005120 · arxiv_version: hep-th/0005120v1 · doi: 10.48550/arxiv.hep-th/0005120 · pith_short_12: PPPIRAZAURMA · pith_short_16: PPPIRAZAURMAKNGR · pith_short_8: PPPIRAZA

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/PPPIRAZAURMAKNGRLKOX3FFHVE \
  | 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: 7bde888320a4580534d15a9d7d94a7a91b9133bd4147ceb636dfd12872b43d9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9316b50910a4ce16e4bc0a98f7a8ea44693c1b59e56a549ca9aa371a002e9d3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-05-12T22:06:17Z",
    "title_canon_sha256": "851d4f5a52c7a29f1d4ef088e16fb6499df7a409735c39aed56b2ab1b648e999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0005120",
    "kind": "arxiv",
    "version": 1
  }
}