Pith Number

pith:PXAFAJZY

pith:2014:PXAFAJZYT4PQNA3RI4OWPAZL6V

not attested not anchored not stored refs pending

A relational description of higher commutators in Mal'cev varieties

Jakub Opr\v{s}al

arxiv:1412.5776 v2 · 2014-12-18 · 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{PXAFAJZYT4PQNA3RI4OWPAZL6V}

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	2026-05-17T23:59:04.043783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dc05027389f1f068371471d67832bf563f394469397aa452d4ff4b6819c1eb3

Aliases

arxiv: 1412.5776 · arxiv_version: 1412.5776v2 · doi: 10.48550/arxiv.1412.5776 · pith_short_12: PXAFAJZYT4PQ · pith_short_16: PXAFAJZYT4PQNA3R · pith_short_8: PXAFAJZY

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/PXAFAJZYT4PQNA3RI4OWPAZL6V \
  | 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: 7dc05027389f1f068371471d67832bf563f394469397aa452d4ff4b6819c1eb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f865370b8b93770fcdd4ba60889c9a35c2f1f4fe6c80d04dc28ecfcac250f81c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-12-18T09:34:12Z",
    "title_canon_sha256": "58f3f7e27c15bc0c90e33978abfec2313b6cd57090687d8eddc0e8cc321edd01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5776",
    "kind": "arxiv",
    "version": 2
  }
}