Pith Number

pith:Q32KU3VJ

pith:2004:Q32KU3VJOK5GIBWCHRRUDEM22Q

not attested not anchored not stored refs pending

Mirror Symmetry and Supermanifolds

Cumrun Vafa, Mina Aganagic

arxiv:hep-th/0403192 v1 · 2004-03-19 · 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{Q32KU3VJOK5GIBWCHRRUDEM22Q}

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

Quantum Airy Structures and Matrix Models: a supercurrent approach

Receipt and verification

First computed	2026-07-04T14:32:13.495154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86f4aa6ea972ba6406c23c6341919ad437724c57b7e756e6d5e763099cf7770e

Aliases

arxiv: hep-th/0403192 · arxiv_version: hep-th/0403192v1 · doi: 10.48550/arxiv.hep-th/0403192 · pith_short_12: Q32KU3VJOK5G · pith_short_16: Q32KU3VJOK5GIBWC · pith_short_8: Q32KU3VJ

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/Q32KU3VJOK5GIBWCHRRUDEM22Q \
  | 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: 86f4aa6ea972ba6406c23c6341919ad437724c57b7e756e6d5e763099cf7770e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87ad5e565049a5fc734441380a5e1bffa54125b34f9e8b914702a9b231c002c0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-03-19T14:53:24Z",
    "title_canon_sha256": "f2e054addf9156ea5b6d042ebc97214d30f2f00de7dc50ee574dc998e7c23e93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0403192",
    "kind": "arxiv",
    "version": 1
  }
}