Pith Number

pith:CAI2LG4G

pith:2018:CAI2LG4GMSMAMZFCTOZW6BIJVN

not attested not anchored not stored refs pending

On exceptional sets in Manin's Conjecture

Brian Lehmann, Sho Tanimoto

arxiv:1807.07995 v2 · 2018-07-20 · 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{CAI2LG4GMSMAMZFCTOZW6BIJVN}

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	2026-05-17T23:58:19.101598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1011a59b8664980664a29bb36f0509ab5085d1fab92b3d401320009884926a5f

Aliases

arxiv: 1807.07995 · arxiv_version: 1807.07995v2 · doi: 10.48550/arxiv.1807.07995 · pith_short_12: CAI2LG4GMSMA · pith_short_16: CAI2LG4GMSMAMZFC · pith_short_8: CAI2LG4G

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/CAI2LG4GMSMAMZFCTOZW6BIJVN \
  | 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: 1011a59b8664980664a29bb36f0509ab5085d1fab92b3d401320009884926a5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0365844d41388d5739f563dec93a054b2935c7a76daa0b8df7cdf34446c008a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-07-20T18:34:16Z",
    "title_canon_sha256": "738ecb405715d7a878278fb70259b45fea33e07441ef00a3299ad1633b3be4d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07995",
    "kind": "arxiv",
    "version": 2
  }
}