pith. sign in
Pith Number

pith:TR2GNNWS

pith:1998:TR2GNNWSRSFSR7NXCDCU752DWK
not attested not anchored not stored refs pending

String Dualities and Toric Geometry: An Introduction

Harald Skarke

arxiv:hep-th/9806059 v1 · 1998-06-07 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TR2GNNWSRSFSR7NXCDCU752DWK}

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 2026-05-18T01:38:36.874936Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9c7466b6d28c8b28fdb710c54ff743b2aac414c2a7bbc1429ca3c4d02f8cb9c2

Aliases

arxiv: hep-th/9806059 · arxiv_version: hep-th/9806059v1 · doi: 10.48550/arxiv.hep-th/9806059 · pith_short_12: TR2GNNWSRSFS · pith_short_16: TR2GNNWSRSFSR7NX · pith_short_8: TR2GNNWS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TR2GNNWSRSFSR7NXCDCU752DWK \
  | 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: 9c7466b6d28c8b28fdb710c54ff743b2aac414c2a7bbc1429ca3c4d02f8cb9c2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a3fe774fa6441c36b6236f89973844dc35211bbb505c1bfc68179ac294c8c8cb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-06-07T04:07:55Z",
    "title_canon_sha256": "c8840c5c74d556357e9b8e839b1de930f6b8d1db5c44a50d08b6d528f6fbf782"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9806059",
    "kind": "arxiv",
    "version": 1
  }
}