Pith Number

pith:UZQJBU7U

pith:2017:UZQJBU7UYKXAB72JOL6JEUFI5Y

not attested not anchored not stored refs pending

Zero action determined modules for associative algebras

Wei Hu, Zhankui Xiao

arxiv:1707.09290 v1 · 2017-07-28 · 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{UZQJBU7UYKXAB72JOL6JEUFI5Y}

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	2026-05-18T00:39:16.575755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a66090d3f4c2ae00ff4972fc9250a8ee1091d0b49064a2171d71197a9344e8c0

Aliases

arxiv: 1707.09290 · arxiv_version: 1707.09290v1 · doi: 10.48550/arxiv.1707.09290 · pith_short_12: UZQJBU7UYKXA · pith_short_16: UZQJBU7UYKXAB72J · pith_short_8: UZQJBU7U

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/UZQJBU7UYKXAB72JOL6JEUFI5Y \
  | 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: a66090d3f4c2ae00ff4972fc9250a8ee1091d0b49064a2171d71197a9344e8c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "124387db1f59a8b17ed6e9820ec50e3d1eda9531d97d76a57a51a58fa20692d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-07-28T15:49:02Z",
    "title_canon_sha256": "4e6ede11d7936d1fccd54bc374b10159c2979e03d29e77a8a6fa008e3af71e6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09290",
    "kind": "arxiv",
    "version": 1
  }
}