pith. sign in
Pith Number

pith:ZJFFACHW

pith:1999:ZJFFACHWX5XJ4V7PQ2V7BHWTU2
not attested not anchored not stored refs pending

Gauge couplings in four-dimensional Type I string orbifolds

C. Bachas, E. Dudas, I. Antoniadis

arxiv:hep-th/9906039 v2 · 1999-06-04 · hep-th · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZJFFACHWX5XJ4V7PQ2V7BHWTU2}

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 2026-05-18T02:35:54.375205Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ca4a5008f6bf6e9e57ef86abf09ed3a6890614da1c5932d209e0bad848c98c84

Aliases

arxiv: hep-th/9906039 · arxiv_version: hep-th/9906039v2 · doi: 10.48550/arxiv.hep-th/9906039 · pith_short_12: ZJFFACHWX5XJ · pith_short_16: ZJFFACHWX5XJ4V7P · pith_short_8: ZJFFACHW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZJFFACHWX5XJ4V7PQ2V7BHWTU2 \
  | 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: ca4a5008f6bf6e9e57ef86abf09ed3a6890614da1c5932d209e0bad848c98c84
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2cf3272c72fb545e94609eaf84fe22bdd4ba429e34b323f400be688262eed330",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-06-04T15:44:42Z",
    "title_canon_sha256": "778e3a748b0b864b934744c6d43d8ca9cac4285d7b46d458eb4df8dcefeae03f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9906039",
    "kind": "arxiv",
    "version": 2
  }
}