Pith Number

pith:4US776HX

pith:2011:4US776HXB3ALS47XUJUJZXZSDK

not attested not anchored not stored refs pending

Quantum Geometry of Refined Topological Strings

Cumrun Vafa, Daniel Krefl, Mina Aganagic, Miranda C.N. Cheng, Robbert Dijkgraaf

arxiv:1105.0630 v1 · 2011-05-03 · 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{4US776HXB3ALS47XUJUJZXZSDK}

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	2026-05-18T02:02:09.498370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e525fff8f70ec0b973f7a2689cdf321a9285a87325f02e9ff6e9c2d26f5f5768

Aliases

arxiv: 1105.0630 · arxiv_version: 1105.0630v1 · doi: 10.48550/arxiv.1105.0630 · pith_short_12: 4US776HXB3AL · pith_short_16: 4US776HXB3ALS47X · pith_short_8: 4US776HX

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/4US776HXB3ALS47XUJUJZXZSDK \
  | 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: e525fff8f70ec0b973f7a2689cdf321a9285a87325f02e9ff6e9c2d26f5f5768

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c119c5433c4a6a7d6e0bc2855b9db1cedb9731b382294a59addd95329c42d7c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-05-03T16:39:17Z",
    "title_canon_sha256": "dfc675ee8de63cd9482dd04629d68329d99de48644032edcfbe725c76b2f280a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0630",
    "kind": "arxiv",
    "version": 1
  }
}