Pith Number

pith:CIU5DOPA

pith:2014:CIU5DOPAV32OBZHJHB4HGP56E3

not attested not anchored not stored refs pending

The prime divisors of the period and index of a Brauer class

Benjamin Antieau, Ben Williams

arxiv:1403.3770 v2 · 2014-03-15 · 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{CIU5DOPAV32OBZHJHB4HGP56E3}

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	2026-05-18T02:45:40.880410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1229d1b9e0aef4e0e4e93878733fbe26e9cbe30e1127aaffec507070a3a7902f

Aliases

arxiv: 1403.3770 · arxiv_version: 1403.3770v2 · doi: 10.48550/arxiv.1403.3770 · pith_short_12: CIU5DOPAV32O · pith_short_16: CIU5DOPAV32OBZHJ · pith_short_8: CIU5DOPA

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/CIU5DOPAV32OBZHJHB4HGP56E3 \
  | 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: 1229d1b9e0aef4e0e4e93878733fbe26e9cbe30e1127aaffec507070a3a7902f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e4d3f3527e6de222ee058b83be8f1377ce5b927c56fff353928171e20ddfa99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-03-15T08:47:46Z",
    "title_canon_sha256": "2e7d1439e5930583c3c63590c502b3c969ccc8e0060dafbe94cbb8e493013787"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3770",
    "kind": "arxiv",
    "version": 2
  }
}