Pith Number

pith:RIRBR5NJ

pith:2014:RIRBR5NJZVJYCZ4YIIEE7D3HG6

not attested not anchored not stored refs pending

Linear representation of Abel-Grassmann groups

David Stanovsky

arxiv:1411.7777 v1 · 2014-11-28 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RIRBR5NJZVJYCZ4YIIEE7D3HG6}

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	2026-05-18T02:32:37.249441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a2218f5a9cd5381679842084f8f67378d4420ac13001aabe8a485d2afa9e834

Aliases

arxiv: 1411.7777 · arxiv_version: 1411.7777v1 · doi: 10.48550/arxiv.1411.7777 · pith_short_12: RIRBR5NJZVJY · pith_short_16: RIRBR5NJZVJYCZ4Y · pith_short_8: RIRBR5NJ

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/RIRBR5NJZVJYCZ4YIIEE7D3HG6 \
  | 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: 8a2218f5a9cd5381679842084f8f67378d4420ac13001aabe8a485d2afa9e834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5909f58013f4a280751b458e7a493da7a8be13d446a9ec2c6c105cf654236123",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-11-28T08:25:31Z",
    "title_canon_sha256": "f7eb403fa734062526f36954e8554512a4f3610dba58dd11f6f065ed5c7264c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7777",
    "kind": "arxiv",
    "version": 1
  }
}