Pith. sign in
Pith Number

pith:EG24FCJO

pith:1991:EG24FCJOF4QWSB32YBM6FB75RA
not attested not anchored not stored refs pending

Topological Mirrors and Quantum Rings

C. Vafa

arxiv:hep-th/9111017 v1 · 1991-11-07 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EG24FCJOF4QWSB32YBM6FB75RA}

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

Receipt and verification
First computed 2026-07-04T14:32:25.859969Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

21b5c2892e2f2169077ac059e287fd8837f43a2070535ed88018d75e8f7bc017

Aliases

arxiv: hep-th/9111017 · arxiv_version: hep-th/9111017v1 · doi: 10.48550/arxiv.hep-th/9111017 · pith_short_12: EG24FCJOF4QW · pith_short_16: EG24FCJOF4QWSB32 · pith_short_8: EG24FCJO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EG24FCJOF4QWSB32YBM6FB75RA \
  | 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: 21b5c2892e2f2169077ac059e287fd8837f43a2070535ed88018d75e8f7bc017
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4d3492e0a1f11cdbae08fabb0738d8331deabca82f8b300b08b71e0e8d5f140b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1991-11-07T17:19:12Z",
    "title_canon_sha256": "ed2a969a077df58504f456886b67a0ca74ddecfa3cd4a45234b522bbe916d214"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9111017",
    "kind": "arxiv",
    "version": 1
  }
}