Pith. sign in
Pith Number

pith:ZXPGHHLU

pith:1999:ZXPGHHLUEI32MTGDCSWRQS6UXV
not attested not anchored not stored refs pending

Local Mirror Symmetry: Calculations and Interpretations

A. Klemm, E. Zaslow, S.-T. Yau, T.-M. Chiang

arxiv:hep-th/9903053 v4 · 1999-03-05 · hep-th · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZXPGHHLUEI32MTGDCSWRQS6UXV}

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

2 papers in Pith

Receipt and verification
First computed 2026-07-04T15:51:28.591385Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cdde639d742237a64cc314ad184bd4bd47df2ce4445799437cf7448a1d7fda13

Aliases

arxiv: hep-th/9903053 · arxiv_version: hep-th/9903053v4 · doi: 10.48550/arxiv.hep-th/9903053 · pith_short_12: ZXPGHHLUEI32 · pith_short_16: ZXPGHHLUEI32MTGD · pith_short_8: ZXPGHHLU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZXPGHHLUEI32MTGDCSWRQS6UXV \
  | 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: cdde639d742237a64cc314ad184bd4bd47df2ce4445799437cf7448a1d7fda13
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8cbd5bf58dd40bbf1f4c27b8f85cd74475ef0d7417c62303abf3b4791afa93fb",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-03-05T22:32:09Z",
    "title_canon_sha256": "ede24b377ab97e2e8bc87b414aafc714d57cf5a1553ba1f28daf34650040dbfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9903053",
    "kind": "arxiv",
    "version": 4
  }
}