Pith Number

pith:UROAYJ34

pith:2013:UROAYJ34MF5RTHD6SEBMEVWYXC

not attested not anchored not stored refs pending

Varieties fibred over abelian varieties with fibres of log general type

Caucher Birkar, Jungkai Alfred Chen

arxiv:1311.7396 v1 · 2013-11-28 · 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{UROAYJ34MF5RTHD6SEBMEVWYXC}

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	2026-05-18T03:05:56.428758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a45c0c277c617b199c7e9102c256d8b895d770a0cbec4421b48dc1dfd3a8c5ad

Aliases

arxiv: 1311.7396 · arxiv_version: 1311.7396v1 · doi: 10.48550/arxiv.1311.7396 · pith_short_12: UROAYJ34MF5R · pith_short_16: UROAYJ34MF5RTHD6 · pith_short_8: UROAYJ34

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/UROAYJ34MF5RTHD6SEBMEVWYXC \
  | 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: a45c0c277c617b199c7e9102c256d8b895d770a0cbec4421b48dc1dfd3a8c5ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "854f6bd55f13f505c813be15b8e146fd4be8f81f61b23fb214558a3a4b170ae7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-28T18:54:35Z",
    "title_canon_sha256": "7fc1d45e2d2c58b835ed8cf618dcc8ddd87277b87315b2c56a476b4f5d4aa393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7396",
    "kind": "arxiv",
    "version": 1
  }
}