Pith Number

pith:66SB3Z6C

pith:2011:66SB3Z6COJONAM4MOGQ3VBINRX

not attested not anchored not stored refs pending

On the Manin-Mumford and Mordell-Lang conjectures in positive characteristic

Damian R\"ossler

arxiv:1104.4311 v3 · 2011-04-21 · math.AG · math.LO · 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{66SB3Z6COJONAM4MOGQ3VBINRX}

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	2026-05-18T03:42:44.882392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7a41de7c2725cd0338c71a1ba850d8dfc6f4ef0eae334a149374bdd6ca80600

Aliases

arxiv: 1104.4311 · arxiv_version: 1104.4311v3 · doi: 10.48550/arxiv.1104.4311 · pith_short_12: 66SB3Z6COJON · pith_short_16: 66SB3Z6COJONAM4M · pith_short_8: 66SB3Z6C

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/66SB3Z6COJONAM4MOGQ3VBINRX \
  | 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: f7a41de7c2725cd0338c71a1ba850d8dfc6f4ef0eae334a149374bdd6ca80600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce0b44229f33ef8f5f0967c3e25540f16d749e64313df221ed439a03a1f8c204",
    "cross_cats_sorted": [
      "math.LO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-21T16:45:34Z",
    "title_canon_sha256": "94867050b7756d2b367e1ae8fe0c36b484df0eed4db8d739441cc4de2abd37e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4311",
    "kind": "arxiv",
    "version": 3
  }
}