Pith Number

pith:PC3EXIQU

pith:2018:PC3EXIQU3D2JL3MWV5OXDWEFTO

not attested not anchored not stored refs pending

On the injective dimension of the Jacobson radical

Rene Marczinzik

arxiv:1801.05674 v1 · 2018-01-17 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PC3EXIQU3D2JL3MWV5OXDWEFTO}

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	2026-05-18T00:25:40.460140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b64ba214d8f495ed96af5d71d8859b82f88309bd6f70d2b013f141e6659ba9

Aliases

arxiv: 1801.05674 · arxiv_version: 1801.05674v1 · doi: 10.48550/arxiv.1801.05674 · pith_short_12: PC3EXIQU3D2J · pith_short_16: PC3EXIQU3D2JL3MW · pith_short_8: PC3EXIQU

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/PC3EXIQU3D2JL3MWV5OXDWEFTO \
  | 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: 78b64ba214d8f495ed96af5d71d8859b82f88309bd6f70d2b013f141e6659ba9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "556ee858bda6301c9ba213121aedb4871fb0cc987e8b2e78374fc5fafd856095",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-01-17T14:20:44Z",
    "title_canon_sha256": "0b0a94043c6e07e52376c78ae75b5ea69a62c2aa9df07ac3fe6439978c41efc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05674",
    "kind": "arxiv",
    "version": 1
  }
}