Pith Number

pith:CAFUW7PE

pith:2012:CAFUW7PECJ5SMCCAFO7G2H5HJI

not attested not anchored not stored refs pending

The Multinorm Principle For Linearly Disjoint Galois Extensions

Andrei S. Rapinchuk, Timothy P. Pollio

arxiv:1203.0359 v1 · 2012-03-02 · 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{CAFUW7PECJ5SMCCAFO7G2H5HJI}

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	2026-05-18T04:01:01.080088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

100b4b7de4127b2608402bbe6d1fa74a2dbec60ce17868d6ef69d8ec681ded81

Aliases

arxiv: 1203.0359 · arxiv_version: 1203.0359v1 · doi: 10.48550/arxiv.1203.0359 · pith_short_12: CAFUW7PECJ5S · pith_short_16: CAFUW7PECJ5SMCCA · pith_short_8: CAFUW7PE

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/CAFUW7PECJ5SMCCAFO7G2H5HJI \
  | 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: 100b4b7de4127b2608402bbe6d1fa74a2dbec60ce17868d6ef69d8ec681ded81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d84ea4dbd6c38f05dcc045d89c43a33adc677b55dc5bb52d859fa3e827aa596",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-02T03:24:11Z",
    "title_canon_sha256": "7a5c054acd350f87c36def45e7b36de1181cabee70a27d8cbfceb4b3894d16c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0359",
    "kind": "arxiv",
    "version": 1
  }
}