Pith Number

pith:C7KCUKZ3

pith:2016:C7KCUKZ3EC6G5A5DCX5JKEENEL

not attested not anchored not stored refs pending

On the number of generators of an algebra

Uriya A. First, Zinovy Reichstein

arxiv:1610.08156 v3 · 2016-10-26 · 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{C7KCUKZ3EC6G5A5DCX5JKEENEL}

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	2026-05-18T00:55:20.453000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17d42a2b3b20bc6e83a315fa95108d22c41ffb36c4f74634ab884c510e4445ed

Aliases

arxiv: 1610.08156 · arxiv_version: 1610.08156v3 · doi: 10.48550/arxiv.1610.08156 · pith_short_12: C7KCUKZ3EC6G · pith_short_16: C7KCUKZ3EC6G5A5D · pith_short_8: C7KCUKZ3

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/C7KCUKZ3EC6G5A5DCX5JKEENEL \
  | 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: 17d42a2b3b20bc6e83a315fa95108d22c41ffb36c4f74634ab884c510e4445ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99911a64b0dbe99eb48869a3e2bdf035ffc4ae9f3404ba9fb902df55fa59baec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-10-26T03:11:46Z",
    "title_canon_sha256": "a50e4f7b6484c40b8304af700c2d920fe3c0ba4a7b110e7a1e11a020212508f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08156",
    "kind": "arxiv",
    "version": 3
  }
}