Pith Number

pith:RGNPGOZN

pith:2010:RGNPGOZNEPAQ3DBURT75G6RCA3

not attested not anchored not stored refs pending

Infinite Hilbert Class Field Towers from Galois Representations

Cameron McLeman, Kirti Joshi

arxiv:1005.3003 v1 · 2010-05-17 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RGNPGOZNEPAQ3DBURT75G6RCA3}

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	2026-05-18T04:42:13.546721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

899af33b2d23c10d8c348cffd37a2206dc568bd73ea7d9a388619cb3bbc0e3ab

Aliases

arxiv: 1005.3003 · arxiv_version: 1005.3003v1 · doi: 10.48550/arxiv.1005.3003 · pith_short_12: RGNPGOZNEPAQ · pith_short_16: RGNPGOZNEPAQ3DBU · pith_short_8: RGNPGOZN

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/RGNPGOZNEPAQ3DBURT75G6RCA3 \
  | 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: 899af33b2d23c10d8c348cffd37a2206dc568bd73ea7d9a388619cb3bbc0e3ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "386fc502f9b353bee5df9a29c1cceffb960d8cd06db2bb5b8eaabe76fa3f7d2b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-05-17T19:21:33Z",
    "title_canon_sha256": "9c1918f00656a9a389cefdcb8aafed83f116effe3725641916ac892e9828aab8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3003",
    "kind": "arxiv",
    "version": 1
  }
}