Pith Number

pith:4ECOPYWQ

pith:2011:4ECOPYWQBRWJYRH6YGTAA42YWE

not attested not anchored not stored refs pending

Class field theory as a dynamical system

Gunther Cornelissen

arxiv:1107.2159 v1 · 2011-07-11 · math.NT · math.DG · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ECOPYWQBRWJYRH6YGTAA42YWE}

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	2026-05-18T04:18:32.793025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e104e7e2d00c6c9c44fec1a6007358b136a9eec44cb6553dddef55d69239bcf2

Aliases

arxiv: 1107.2159 · arxiv_version: 1107.2159v1 · doi: 10.48550/arxiv.1107.2159 · pith_short_12: 4ECOPYWQBRWJ · pith_short_16: 4ECOPYWQBRWJYRH6 · pith_short_8: 4ECOPYWQ

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/4ECOPYWQBRWJYRH6YGTAA42YWE \
  | 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: e104e7e2d00c6c9c44fec1a6007358b136a9eec44cb6553dddef55d69239bcf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5f7ac69d4bea7643d966f61e971179818fbaeeadc2122e330128b9c45322e6d",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-11T22:24:02Z",
    "title_canon_sha256": "c3b9248f213a2b0c4f1ab80a596e6b5174be8c6556435bb5825a7656d29bb674"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2159",
    "kind": "arxiv",
    "version": 1
  }
}