Pith Number

pith:5O5KPQAE

pith:2013:5O5KPQAECMTWOBPM75AG35WXYL

not attested not anchored not stored refs pending

Mordell-Lang in positive characteristic

Paul Ziegler

arxiv:1311.7608 v1 · 2013-11-29 · 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{5O5KPQAECMTWOBPM75AG35WXYL}

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	2026-05-18T03:05:55.769825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebbaa7c00413276705ecff406df6d7c2d35cb40af1ff139abb52c341db5a175a

Aliases

arxiv: 1311.7608 · arxiv_version: 1311.7608v1 · doi: 10.48550/arxiv.1311.7608 · pith_short_12: 5O5KPQAECMTW · pith_short_16: 5O5KPQAECMTWOBPM · pith_short_8: 5O5KPQAE

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/5O5KPQAECMTWOBPM75AG35WXYL \
  | 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: ebbaa7c00413276705ecff406df6d7c2d35cb40af1ff139abb52c341db5a175a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c21e8d8ff5875ffcfb60be935cdf2b21bacba9bf7d3031342439a2204ef8f9eb",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-29T15:47:27Z",
    "title_canon_sha256": "d8d11ec6b4829baea046ba0a720e81429f8b6b1ba756fed96253441cb2b4157c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7608",
    "kind": "arxiv",
    "version": 1
  }
}