Pith Number

pith:ASUZ5PKG

pith:2012:ASUZ5PKGD3FQZWPSH54I3ZMNSG

not attested not anchored not stored refs pending

Weak Coupling, Degeneration and Log Calabi-Yau Spaces

M. Wijnholt, R. Donagi, S. Katz

arxiv:1212.0553 v1 · 2012-12-03 · hep-th · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ASUZ5PKGD3FQZWPSH54I3ZMNSG}

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	2026-05-18T03:39:15.773705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04a99ebd461ecb0cd9f23f788de58d9185748e2406204914f171d9cc3cce1ecf

Aliases

arxiv: 1212.0553 · arxiv_version: 1212.0553v1 · doi: 10.48550/arxiv.1212.0553 · pith_short_12: ASUZ5PKGD3FQ · pith_short_16: ASUZ5PKGD3FQZWPS · pith_short_8: ASUZ5PKG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ASUZ5PKGD3FQZWPSH54I3ZMNSG \
  | 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: 04a99ebd461ecb0cd9f23f788de58d9185748e2406204914f171d9cc3cce1ecf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b8cdb31716091edf6dc239e7441769345d1a7f4e05ecffa822895ac69070485",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-12-03T21:02:15Z",
    "title_canon_sha256": "91a39319318ab93056a9facafbb88991b92241e404db589e607016bca0bb7e6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0553",
    "kind": "arxiv",
    "version": 1
  }
}