Pith Number

pith:QKBX3ZOC

pith:2009:QKBX3ZOCEO6EXS4MSQFASRQP3P

not attested not anchored not stored refs pending

Toda Theories, Matrix Models, Topological Strings, and N=2 Gauge Systems

Cumrun Vafa, Robbert Dijkgraaf

arxiv:0909.2453 v1 · 2009-09-13 · 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{QKBX3ZOCEO6EXS4MSQFASRQP3P}

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

1 paper in Pith

Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model

Receipt and verification

First computed	2026-07-04T15:49:33.431811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82837de5c223bc4bcb8c940a09460fdbdfb4fa38ca97c3c74e9404b816c35982

Aliases

arxiv: 0909.2453 · arxiv_version: 0909.2453v1 · doi: 10.48550/arxiv.0909.2453 · pith_short_12: QKBX3ZOCEO6E · pith_short_16: QKBX3ZOCEO6EXS4M · pith_short_8: QKBX3ZOC

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/QKBX3ZOCEO6EXS4MSQFASRQP3P \
  | 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: 82837de5c223bc4bcb8c940a09460fdbdfb4fa38ca97c3c74e9404b816c35982

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20c8c4d27c25fd83a2884da0f1af05d4f2733a15110d0249c4451f79ac6e6ecb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-09-13T23:21:36Z",
    "title_canon_sha256": "b3eea94f5e27e8bbc602b045f1618e7085ff7bf475bb2b48337be6be99d29d90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2453",
    "kind": "arxiv",
    "version": 1
  }
}