Pith Number

pith:H333KZBD

pith:2015:H333KZBDDRY3NE7TCLF5KMZS5P

not attested not anchored not stored refs pending

Extension property of semipositive invertible sheaves over a non-archimedean field

Atsushi Moriwaki, Huayi Chen (IF)

arxiv:1510.06921 v2 · 2015-10-23 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H333KZBDDRY3NE7TCLF5KMZS5P}

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	2026-05-18T01:26:17.664445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ef7b564231c71b693f312cbd53332ebf64512e2f2d987646b1e1bf70a6cc23d

Aliases

arxiv: 1510.06921 · arxiv_version: 1510.06921v2 · doi: 10.48550/arxiv.1510.06921 · pith_short_12: H333KZBDDRY3 · pith_short_16: H333KZBDDRY3NE7T · pith_short_8: H333KZBD

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/H333KZBDDRY3NE7TCLF5KMZS5P \
  | 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: 3ef7b564231c71b693f312cbd53332ebf64512e2f2d987646b1e1bf70a6cc23d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22f9ef423d48d5adf195e55df25d2430acfde0018ea9478ad373c659fff49869",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-10-23T12:46:18Z",
    "title_canon_sha256": "e8f1191704f3e9f535efab1ba145b1bf30e983930463cb1d96a832c388becff2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06921",
    "kind": "arxiv",
    "version": 2
  }
}