Pith Number

pith:GWHR6UHP

pith:2015:GWHR6UHPJV7NXELJDFTLXEA4HA

not attested not anchored not stored refs pending

A Moufang loop with exceptional properties of associators

Alexandre N. Grichkov, Andrei V. Zavarnitsine, Ilya B. Gorshkov

arxiv:1509.00559 v1 · 2015-09-02 · 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{GWHR6UHPJV7NXELJDFTLXEA4HA}

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	2026-05-18T01:34:06.852765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

358f1f50ef4d7edb91691966bb901c382bf11201c0dcafa4ea0a38be7993c1fc

Aliases

arxiv: 1509.00559 · arxiv_version: 1509.00559v1 · doi: 10.48550/arxiv.1509.00559 · pith_short_12: GWHR6UHPJV7N · pith_short_16: GWHR6UHPJV7NXELJ · pith_short_8: GWHR6UHP

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/GWHR6UHPJV7NXELJDFTLXEA4HA \
  | 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: 358f1f50ef4d7edb91691966bb901c382bf11201c0dcafa4ea0a38be7993c1fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a59114a7219f6d4ef3160235551f77b57cdf5cd2e4acea5d32671a0cd39ed85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-09-02T04:27:21Z",
    "title_canon_sha256": "ef04606cf7bf88ef29b01b5fb3248bdbdc597e2621f00e1e630b3d958fe6caf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00559",
    "kind": "arxiv",
    "version": 1
  }
}