Pith Number

pith:5JZ3SXRV

pith:2010:5JZ3SXRVMNLRWV232FA4FZEOLB

not attested not anchored not stored refs pending

The main conjecture of Iwasawa theory for totally real fields

Mahesh Kakde

arxiv:1008.0142 v3 · 2010-08-01 · math.NT · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JZ3SXRVMNLRWV232FA4FZEOLB}

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	2026-05-18T04:21:51.713154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea73b95e3563571b575bd141c2e48e586bd05c028afc805d196c6f7803913183

Aliases

arxiv: 1008.0142 · arxiv_version: 1008.0142v3 · doi: 10.48550/arxiv.1008.0142 · pith_short_12: 5JZ3SXRVMNLR · pith_short_16: 5JZ3SXRVMNLRWV23 · pith_short_8: 5JZ3SXRV

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/5JZ3SXRVMNLRWV232FA4FZEOLB \
  | 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: ea73b95e3563571b575bd141c2e48e586bd05c028afc805d196c6f7803913183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c124438de95d08aa23f4d796b58621cc3009f502f63b4cca6669aeb6df1dff6d",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-01T02:25:24Z",
    "title_canon_sha256": "1046afd6387c6ad61ff212d673def416b9df8471a18937546a6c61b974550a38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0142",
    "kind": "arxiv",
    "version": 3
  }
}