pith. sign in
Pith Number

pith:ZPKRMTCX

pith:1999:ZPKRMTCXYMPM6KJBYT5TUIEEAB
not attested not anchored not stored refs pending

Heterotic M-Theory Vacua with Five-Branes

Andre Lukas, Burt A. Ovrut, Daniel Waldram

arxiv:hep-th/9903144 v1 · 1999-03-16 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZPKRMTCXYMPM6KJBYT5TUIEEAB}

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 2026-05-18T01:38:35.180412Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cbd5164c57c31ecf2921c4fb3a2084007969aa1bcbbf3bff653824200a14d7a4

Aliases

arxiv: hep-th/9903144 · arxiv_version: hep-th/9903144v1 · doi: 10.48550/arxiv.hep-th/9903144 · pith_short_12: ZPKRMTCXYMPM · pith_short_16: ZPKRMTCXYMPM6KJB · pith_short_8: ZPKRMTCX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZPKRMTCXYMPM6KJBYT5TUIEEAB \
  | 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: cbd5164c57c31ecf2921c4fb3a2084007969aa1bcbbf3bff653824200a14d7a4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c9a2a6d0def32d7bff2c06a4462c2b9f49e7ee35817735f1f0b3eb58e1505060",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-03-16T17:04:26Z",
    "title_canon_sha256": "3e661644b44c24ba47045ab16803745b2ad0f3eaf4a7dbda423b0d191a3c2c36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9903144",
    "kind": "arxiv",
    "version": 1
  }
}