Pith Number

pith:4ARHPYGL

pith:2015:4ARHPYGL547KBSKARXU7WRFOBR

not attested not anchored not stored refs pending

Division algebras with the same maximal subfields

Andrei S. Rapinchuk, Igor A. Rapinchuk, Vladimir I. Chernousov

arxiv:1501.04027 v1 · 2015-01-16 · math.RA · math.AG · 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{4ARHPYGL547KBSKARXU7WRFOBR}

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	2026-05-18T01:55:07.327180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e02277e0cbef3ea0c9408de9fb44ae0c6705be89c1f312f0590c34bcd211ea47

Aliases

arxiv: 1501.04027 · arxiv_version: 1501.04027v1 · doi: 10.48550/arxiv.1501.04027 · pith_short_12: 4ARHPYGL547K · pith_short_16: 4ARHPYGL547KBSKA · pith_short_8: 4ARHPYGL

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/4ARHPYGL547KBSKARXU7WRFOBR \
  | 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: e02277e0cbef3ea0c9408de9fb44ae0c6705be89c1f312f0590c34bcd211ea47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ece6f75770b1942b53debc84cedb99c6a79d3e4ee2975857694090da97515fb0",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-01-16T16:13:29Z",
    "title_canon_sha256": "4dffd69627df31f4d69d2cbdf595eb486e8316ad12fc40d5e28c75a6ff7f4c89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04027",
    "kind": "arxiv",
    "version": 1
  }
}