Pith Number

pith:KL5TKRC6

pith:2007:KL5TKRC647EC43LPEK5MNJEB35

not attested not anchored not stored refs pending

A dynamical version of the Mordell-Lang conjecture for the additive group

Dragos Ghioca, Thomas J. Tucker

arxiv:0704.1333 v1 · 2007-04-11 · math.NT · 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{KL5TKRC647EC43LPEK5MNJEB35}

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	2026-05-18T03:02:45.188134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52fb35445ee7c82e6d6f22bac6a481df613d5c3a39cf3cfb3adffed9c9a305e5

Aliases

arxiv: 0704.1333 · arxiv_version: 0704.1333v1 · doi: 10.48550/arxiv.0704.1333 · pith_short_12: KL5TKRC647EC · pith_short_16: KL5TKRC647EC43LP · pith_short_8: KL5TKRC6

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/KL5TKRC647EC43LPEK5MNJEB35 \
  | 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: 52fb35445ee7c82e6d6f22bac6a481df613d5c3a39cf3cfb3adffed9c9a305e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9019a160fb0dc95a4b614370f098c3a39ff57b19018012decd2eff682d19df4e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-04-11T00:23:06Z",
    "title_canon_sha256": "edc2bd837f1e98a385d44ad30c1cef150c46957704184ddde30124572a21be82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.1333",
    "kind": "arxiv",
    "version": 1
  }
}