Pith Number

pith:L2D44TJ2

pith:2000:L2D44TJ2ALXI7NQXXQL6BN7AVA

not attested not anchored not stored refs pending

Mirror Symmetry, D-Branes and Counting Holomorphic Discs

Cumrun Vafa, Mina Aganagic

arxiv:hep-th/0012041 v1 · 2000-12-05 · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L2D44TJ2ALXI7NQXXQL6BN7AVA}

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

5 papers in Pith

Monodromy defects in Chern-Simons theory and Holography

Meromorphic amplitudes from 3-dimensional supersymmetry

Non-Perturbative Real Topological Strings

Augmentation varieties and disk potentials III

D2-brane probes of non-toric cDV threefolds via monopole superpotentials

Receipt and verification

First computed	2026-07-04T14:31:27.628995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e87ce4d3a02ee8fb617bc17e0b7e0a83885da3191aa284781a78b531db76f96

Aliases

arxiv: hep-th/0012041 · arxiv_version: hep-th/0012041v1 · doi: 10.48550/arxiv.hep-th/0012041 · pith_short_12: L2D44TJ2ALXI · pith_short_16: L2D44TJ2ALXI7NQX · pith_short_8: L2D44TJ2

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/L2D44TJ2ALXI7NQXXQL6BN7AVA \
  | 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: 5e87ce4d3a02ee8fb617bc17e0b7e0a83885da3191aa284781a78b531db76f96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b28c11c2dfc9f948c24db86964fdb635ce95ecbdce441a0cfe8b365d3e7017dd",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-12-05T21:00:20Z",
    "title_canon_sha256": "94e1cce64e0b7916fff289a185de087c371b38254903b8631210535bd310c7a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0012041",
    "kind": "arxiv",
    "version": 1
  }
}