Pith Number

pith:JBU57C4R

pith:2008:JBU57C4RMRUUR2QOTGVSVIGF7J

not attested not anchored not stored refs pending

A cone theorem for nef curves

Brian Lehmann

arxiv:0807.2294 v4 · 2008-07-15 · 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{JBU57C4RMRUUR2QOTGVSVIGF7J}

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	2026-05-18T04:27:36.514125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4869df8b91646948ea0e99ab2aa0c5fa4aaebb1bb45aceabcf5e7dea2bfc35c7

Aliases

arxiv: 0807.2294 · arxiv_version: 0807.2294v4 · doi: 10.48550/arxiv.0807.2294 · pith_short_12: JBU57C4RMRUU · pith_short_16: JBU57C4RMRUUR2QO · pith_short_8: JBU57C4R

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/JBU57C4RMRUUR2QOTGVSVIGF7J \
  | 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: 4869df8b91646948ea0e99ab2aa0c5fa4aaebb1bb45aceabcf5e7dea2bfc35c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9680a6364fe193b9aa8de05ac2fe646bc20ba05a0830cd7659d7a9a174191b1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-07-15T04:25:48Z",
    "title_canon_sha256": "89409b44b62d717871089ae09a78f5e8fa8cf737093afa6767cffb2c02e1abbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2294",
    "kind": "arxiv",
    "version": 4
  }
}