Pith Number

pith:WJNXYX2X

pith:2014:WJNXYX2XOMTE6THJIBDKYXIWVS

not attested not anchored not stored refs pending

On base point free theorem for log canonical threefolds over the algebraic closure of a finite field

Diletta Martinelli, Jakub Witaszek, Yusuke Nakamura

arxiv:1407.5146 v2 · 2014-07-19 · 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{WJNXYX2XOMTE6THJIBDKYXIWVS}

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	2026-05-18T01:22:21.994194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b25b7c5f5773264f4ce94046ac5d16ac8f795b8f77267b4686ba95fce88211a6

Aliases

arxiv: 1407.5146 · arxiv_version: 1407.5146v2 · doi: 10.48550/arxiv.1407.5146 · pith_short_12: WJNXYX2XOMTE · pith_short_16: WJNXYX2XOMTE6THJ · pith_short_8: WJNXYX2X

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/WJNXYX2XOMTE6THJIBDKYXIWVS \
  | 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: b25b7c5f5773264f4ce94046ac5d16ac8f795b8f77267b4686ba95fce88211a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a5860fb2383c5132ef6b63ca08e372c0234d05175b931cbc1d2358eda1ccda3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-07-19T05:11:08Z",
    "title_canon_sha256": "f112539b805d395775cd35a92ad646c96090309a8d781f7597b7e2df1666c59a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5146",
    "kind": "arxiv",
    "version": 2
  }
}