Pith Number

pith:ZMCEGG2R

pith:1998:ZMCEGG2RQCW3MDF2UN3VQ7IABW

not attested not anchored not stored refs pending

Topological Gravity as Large N Topological Gauge Theory

Cumrun Vafa, Rajesh Gopakumar

arxiv:hep-th/9802016 v2 · 1998-02-03 · 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{ZMCEGG2RQCW3MDF2UN3VQ7IABW}

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	2026-07-04T15:27:30.615106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb04431b5180adb60cbaa377587d000d9a3638a56343b78e6844f90d81fe060a

Aliases

arxiv: hep-th/9802016 · arxiv_version: hep-th/9802016v2 · doi: 10.48550/arxiv.hep-th/9802016 · pith_short_12: ZMCEGG2RQCW3 · pith_short_16: ZMCEGG2RQCW3MDF2 · pith_short_8: ZMCEGG2R

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/ZMCEGG2RQCW3MDF2UN3VQ7IABW \
  | 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: cb04431b5180adb60cbaa377587d000d9a3638a56343b78e6844f90d81fe060a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "485425dafd2b74760beb7937799deefd9aa64884313419d75fb4bd39553388c8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-02-03T20:29:17Z",
    "title_canon_sha256": "4cba5dae7aa226405990eea11fadc39b70f9516c3b449cd0fc418453c1259c27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9802016",
    "kind": "arxiv",
    "version": 2
  }
}