Pith Number

pith:FMEGI7PR

pith:2013:FMEGI7PRACAHVB5H4UOBFCB4NM

not attested not anchored not stored refs pending

F-singularities in families

Karl Schwede, Wenliang Zhang, Zsolt Patakfalvi

arxiv:1305.1646 v3 · 2013-05-07 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FMEGI7PRACAHVB5H4UOBFCB4NM}

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	2026-05-18T00:33:53.639261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b08647df100807a87a7e51c12883c6b0965ebea39f9d4ff31e8a6f30a7a4cbc

Aliases

arxiv: 1305.1646 · arxiv_version: 1305.1646v3 · doi: 10.48550/arxiv.1305.1646 · pith_short_12: FMEGI7PRACAH · pith_short_16: FMEGI7PRACAHVB5H · pith_short_8: FMEGI7PR

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/FMEGI7PRACAHVB5H4UOBFCB4NM \
  | 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: 2b08647df100807a87a7e51c12883c6b0965ebea39f9d4ff31e8a6f30a7a4cbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b97bb50bba525c161312a2b092f9f66c794c8818d1885d59ba24c1622020be92",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-07T21:07:25Z",
    "title_canon_sha256": "50d34eb9e73a126afbbaba45218ad005c096631bbe9433277212e78c5532c784"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1646",
    "kind": "arxiv",
    "version": 3
  }
}