Pith Number

pith:OPODXW56

pith:2012:OPODXW56XFQFRGT4QQOCDFH23U

not attested not anchored not stored refs pending

Formal vector spaces over a local field of positive characteristic

Jared Weinstein

arxiv:1207.6424 v2 · 2012-07-26 · 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{OPODXW56XFQFRGT4QQOCDFH23U}

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	2026-05-18T03:29:13.766927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73dc3bdbbeb960589a7c841c2194fadd00efafbf494398d2ef7aefe018abd3d7

Aliases

arxiv: 1207.6424 · arxiv_version: 1207.6424v2 · doi: 10.48550/arxiv.1207.6424 · pith_short_12: OPODXW56XFQF · pith_short_16: OPODXW56XFQFRGT4 · pith_short_8: OPODXW56

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/OPODXW56XFQFRGT4QQOCDFH23U \
  | 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: 73dc3bdbbeb960589a7c841c2194fadd00efafbf494398d2ef7aefe018abd3d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "899ab918d31256d889965aa1f5fa4078aec01af47cc09cd7ffc1d87225a4252d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-26T22:19:08Z",
    "title_canon_sha256": "8dbfcf7d9d5cb3750b3ca12923b90d9fa95afebbf00840a127fc9e818c11c9d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6424",
    "kind": "arxiv",
    "version": 2
  }
}