Pith Number

pith:BZD34PM2

pith:2012:BZD34PM2VU4INCSRA5YSQ2DCL7

not attested not anchored not stored refs pending

The X-method for klt surfaces in positive characteristic

Hiromu Tanaka

arxiv:1202.2497 v2 · 2012-02-12 · 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{BZD34PM2VU4INCSRA5YSQ2DCL7}

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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.

Cited by

1 paper in Pith

Abundance for threefolds in positive characteristic when $\nu=2$

Receipt and verification

First computed	2026-05-18T03:38:23.706153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e47be3d9aad38868a5107712868625ff39d51e458f5e54215ed918be1076b2d

Aliases

arxiv: 1202.2497 · arxiv_version: 1202.2497v2 · doi: 10.48550/arxiv.1202.2497 · pith_short_12: BZD34PM2VU4I · pith_short_16: BZD34PM2VU4INCSR · pith_short_8: BZD34PM2

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/BZD34PM2VU4INCSRA5YSQ2DCL7 \
  | 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: 0e47be3d9aad38868a5107712868625ff39d51e458f5e54215ed918be1076b2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "918f328bfaf8f4451805bc3c893121ab81fff7acbf9c76900cee17417b5db659",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-12T08:14:15Z",
    "title_canon_sha256": "480362b077fbeb7c4030207969630a2d0385c39be32efb4abf1774884ff96066"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2497",
    "kind": "arxiv",
    "version": 2
  }
}