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Pith Number

pith:JPIEQNJG

pith:2009:JPIEQNJGZXGJWK4NLGIFPRIKXT
not attested not anchored not stored refs pending

Codimension-3 Singularities and Yukawa Couplings in F-theory

Hirotaka Hayashi, Radu Tatar, Taizan Watari, Teruhiko Kawano

arxiv:0901.4941 v3 · 2009-01-30 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JPIEQNJGZXGJWK4NLGIFPRIKXT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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 2026-05-18T02:14:54.863213Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4bd0483526cdcc9b2b8d599057c50abcd94997c95b2e322003798f36b44ba93f

Aliases

arxiv: 0901.4941 · arxiv_version: 0901.4941v3 · doi: 10.48550/arxiv.0901.4941 · pith_short_12: JPIEQNJGZXGJ · pith_short_16: JPIEQNJGZXGJWK4N · pith_short_8: JPIEQNJG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JPIEQNJGZXGJWK4NLGIFPRIKXT \
  | 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: 4bd0483526cdcc9b2b8d599057c50abcd94997c95b2e322003798f36b44ba93f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ae2b101b1db35fd74c0aee8fb2d4228fb0c240e39e363db97127ce8d6db4b0ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-01-30T20:25:45Z",
    "title_canon_sha256": "7b22c709d4dbdc1ab577869d1fa97685334a2430d29b6c527d0209df447b2f79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.4941",
    "kind": "arxiv",
    "version": 3
  }
}