Pith Number

pith:U7SKZF2X

pith:2013:U7SKZF2XMOWHRPY7TWZQNSUVC6

not attested not anchored not stored refs pending

On the Codimension Sequence of G-Simple Algebras

Yaakov Karasik, Yuval Shpigelman

arxiv:1312.4167 v2 · 2013-12-15 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U7SKZF2XMOWHRPY7TWZQNSUVC6}

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	2026-05-18T01:34:31.021554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7e4ac975763ac78bf1f9db306ca9517a7dade89e8251e2f6e47107ca628f8ee

Aliases

arxiv: 1312.4167 · arxiv_version: 1312.4167v2 · doi: 10.48550/arxiv.1312.4167 · pith_short_12: U7SKZF2XMOWH · pith_short_16: U7SKZF2XMOWHRPY7 · pith_short_8: U7SKZF2X

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/U7SKZF2XMOWHRPY7TWZQNSUVC6 \
  | 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: a7e4ac975763ac78bf1f9db306ca9517a7dade89e8251e2f6e47107ca628f8ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "680f6655d4e7a943b49576947ec1194cc8a31acfe3aa54bef7d396070c135c4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-12-15T17:00:06Z",
    "title_canon_sha256": "e6e5226cfb362a78d018d6d1fc39363947252c6ba7dea278e67bbf12ce6eff98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4167",
    "kind": "arxiv",
    "version": 2
  }
}