Pith Number

pith:ZD7DSSAW

pith:2017:ZD7DSSAWHPRWY7JD4ZWIGNGDOV

not attested not anchored not stored refs pending

A variational open image theorem in positive characteristic

Gebhard B\"ockle, Sebastian Petersen, Wojciech Gajda

arxiv:1701.04747 v2 · 2017-01-17 · 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{ZD7DSSAWHPRWY7JD4ZWIGNGDOV}

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	2026-05-18T00:52:30.577269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8fe3948163be36c7d23e66c8334c375746bbaadfa9b8898baa7036093c6b989

Aliases

arxiv: 1701.04747 · arxiv_version: 1701.04747v2 · doi: 10.48550/arxiv.1701.04747 · pith_short_12: ZD7DSSAWHPRW · pith_short_16: ZD7DSSAWHPRWY7JD · pith_short_8: ZD7DSSAW

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/ZD7DSSAWHPRWY7JD4ZWIGNGDOV \
  | 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: c8fe3948163be36c7d23e66c8334c375746bbaadfa9b8898baa7036093c6b989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec96f88ba02c2402ca1d02829c589e8ccceeaa0026c19ea0892868e8878f58fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-17T16:21:36Z",
    "title_canon_sha256": "f29c8317dd5d927aa5fbde683bf33697dbaed9847f05aee25803ff7cb7638a1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04747",
    "kind": "arxiv",
    "version": 2
  }
}