Pith Number

pith:TKKLJO5G

pith:2011:TKKLJO5GRA6ZDIW26EJYY2VSKE

not attested not anchored not stored refs pending

Large N duality, lagrangian cycles, and algebraic knots

C. Vafa, D.-E. Diaconescu, V. Shende

arxiv:1111.6533 v1 · 2011-11-28 · hep-th · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKKLJO5GRA6ZDIW26EJYY2VSKE}

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	2026-05-18T01:34:36.185798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a94b4bba6883d91a2daf1138c6ab25127814302cfff7a117ed9bc521a90a955

Aliases

arxiv: 1111.6533 · arxiv_version: 1111.6533v1 · doi: 10.48550/arxiv.1111.6533 · pith_short_12: TKKLJO5GRA6Z · pith_short_16: TKKLJO5GRA6ZDIW2 · pith_short_8: TKKLJO5G

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/TKKLJO5GRA6ZDIW26EJYY2VSKE \
  | 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: 9a94b4bba6883d91a2daf1138c6ab25127814302cfff7a117ed9bc521a90a955

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5375c5fdc26e00b3993f340b5c07ccf044e53b738468bbd40d3a9777eaadf8da",
    "cross_cats_sorted": [
      "math.AG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-11-28T18:09:39Z",
    "title_canon_sha256": "0dc65bec82004bb2b0d3129783a8dd53483fd152ccb1888fb6ed7d621b5b9a88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6533",
    "kind": "arxiv",
    "version": 1
  }
}