Pith Number

pith:ZS6CIXQ2

pith:2015:ZS6CIXQ2J2YVGDIRX24CL6D6TV

not attested not anchored not stored refs pending

On the size of the genus of a division algebra

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

arxiv:1509.02360 v1 · 2015-09-08 · 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{ZS6CIXQ2J2YVGDIRX24CL6D6TV}

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	2026-05-18T01:33:41.083494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccbc245e1a4eb1530d11beb825f87e9d66a2db166ef41173e160ffa96a85aa89

Aliases

arxiv: 1509.02360 · arxiv_version: 1509.02360v1 · doi: 10.48550/arxiv.1509.02360 · pith_short_12: ZS6CIXQ2J2YV · pith_short_16: ZS6CIXQ2J2YVGDIR · pith_short_8: ZS6CIXQ2

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/ZS6CIXQ2J2YVGDIRX24CL6D6TV \
  | 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: ccbc245e1a4eb1530d11beb825f87e9d66a2db166ef41173e160ffa96a85aa89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c1281b93bb46a57d63f7791d4e9a37116640499e21dafb903c1b948eb4c5c79",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-09-08T13:19:40Z",
    "title_canon_sha256": "f0f482d59a1a3e60a8560564073764e21d24b4f900dc8adc3b41996f9c83ab85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02360",
    "kind": "arxiv",
    "version": 1
  }
}