Pith Number

pith:G27NAMYT

pith:2015:G27NAMYT5HESUTCKC375UUFGRG

not attested not anchored not stored refs pending

Abundance theorem for surfaces over imperfect fields

Hiromu Tanaka

arxiv:1502.01383 v5 · 2015-02-04 · 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{G27NAMYT5HESUTCKC375UUFGRG}

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	2026-05-17T23:54:03.465053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36bed03313e9c92a4c4a16ffda50a689991416aa09f96f7ad056971ba359e66d

Aliases

arxiv: 1502.01383 · arxiv_version: 1502.01383v5 · doi: 10.48550/arxiv.1502.01383 · pith_short_12: G27NAMYT5HES · pith_short_16: G27NAMYT5HESUTCK · pith_short_8: G27NAMYT

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/G27NAMYT5HESUTCKC375UUFGRG \
  | 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: 36bed03313e9c92a4c4a16ffda50a689991416aa09f96f7ad056971ba359e66d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f16e49bfc00b4dce747688cba3fd6139bae517a36dbe3be80eec10210e208fd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-02-04T22:30:23Z",
    "title_canon_sha256": "e0fded7689a9eb6dfab32fbe4eb055964b2a90758cf047c6347f675594c16388"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01383",
    "kind": "arxiv",
    "version": 5
  }
}