Pith Number

pith:YWBVUM7Y

pith:2011:YWBVUM7YHP2Q5GT6A3CF5A7B4X

not attested not anchored not stored refs pending

An Equivariant Main Conjecture in Iwasawa Theory and Applications

Cornelius Greither, Cristian D. Popescu

arxiv:1103.3069 v1 · 2011-03-16 · 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{YWBVUM7YHP2Q5GT6A3CF5A7B4X}

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	2026-05-18T04:26:44.919633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5835a33f83bf50e9a7e06c45e83e1e5d73bc3d602e9007516f82b0b4d37754d

Aliases

arxiv: 1103.3069 · arxiv_version: 1103.3069v1 · doi: 10.48550/arxiv.1103.3069 · pith_short_12: YWBVUM7YHP2Q · pith_short_16: YWBVUM7YHP2Q5GT6 · pith_short_8: YWBVUM7Y

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/YWBVUM7YHP2Q5GT6A3CF5A7B4X \
  | 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: c5835a33f83bf50e9a7e06c45e83e1e5d73bc3d602e9007516f82b0b4d37754d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8949a95e8462cbf272f16ae73d3f2744e5506aecc243025be9688f9687a5f5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-16T00:00:54Z",
    "title_canon_sha256": "a657323bd5eba2703abb635b8872ae89d81192e687d2ca582124f4ab6c242f1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3069",
    "kind": "arxiv",
    "version": 1
  }
}