Pith Number

pith:OSJRFJC7

pith:2011:OSJRFJC7KRLSL7MMGMGBUFWUD5

not attested not anchored not stored refs pending

Noncommutative Main Conjectures of Geometric Iwasawa Theory

Malte Witte

arxiv:1111.1645 v2 · 2011-11-07 · 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{OSJRFJC7KRLSL7MMGMGBUFWUD5}

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	2026-05-18T03:55:46.843866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

749312a45f545725fd8c330c1a16d41f63cb2f9d6c3e71b12e7deb5f12bfb70d

Aliases

arxiv: 1111.1645 · arxiv_version: 1111.1645v2 · doi: 10.48550/arxiv.1111.1645 · pith_short_12: OSJRFJC7KRLS · pith_short_16: OSJRFJC7KRLSL7MM · pith_short_8: OSJRFJC7

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/OSJRFJC7KRLSL7MMGMGBUFWUD5 \
  | 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: 749312a45f545725fd8c330c1a16d41f63cb2f9d6c3e71b12e7deb5f12bfb70d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16098c3bffa7018c65da77b6166eede3bcd3194a7749ed3429ae9d9891ad4392",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-11-07T17:04:41Z",
    "title_canon_sha256": "a7ebca35ae86d1037aef89152d37d94388d488eb96e2403481b408861ce02f00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1645",
    "kind": "arxiv",
    "version": 2
  }
}