Pith Number

pith:O47ONXR5

pith:2010:O47ONXR53E7VAKPRKGOX7DMYJE

not attested not anchored not stored refs pending

On a noncommutative Iwasawa main conjecture for varieties over finite fields

Malte Witte

arxiv:1004.2481 v2 · 2010-04-14 · 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{O47ONXR53E7VAKPRKGOX7DMYJE}

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	2026-05-18T03:55:03.000622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

773ee6de3dd93f5029f1519d7f8d98491beff18a19dc84e182ebc1dfbc42904f

Aliases

arxiv: 1004.2481 · arxiv_version: 1004.2481v2 · doi: 10.48550/arxiv.1004.2481 · pith_short_12: O47ONXR53E7V · pith_short_16: O47ONXR53E7VAKPR · pith_short_8: O47ONXR5

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/O47ONXR53E7VAKPRKGOX7DMYJE \
  | 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: 773ee6de3dd93f5029f1519d7f8d98491beff18a19dc84e182ebc1dfbc42904f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccdc969c84ed0d970777f309a7828f004452bfc707832f88566a97f651e337a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-04-14T19:40:59Z",
    "title_canon_sha256": "b03c708d66c8d69e125f5a1f5ba31754986cd97a6137d9d1755a12f18a627416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2481",
    "kind": "arxiv",
    "version": 2
  }
}