Pith Number

pith:RFKI7P7X

pith:2012:RFKI7P7XD7GFK3HDNAI7D7PYQW

not attested not anchored not stored refs pending

Sequences of commutator operations

Erhard Aichinger, Nebojsa Mudrinski

arxiv:1205.3297 v3 · 2012-05-15 · 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{RFKI7P7XD7GFK3HDNAI7D7PYQW}

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	2026-05-18T03:55:01.381282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89548fbff71fcc556ce36811f1fdf88593a6ce99ea9651e8208338c72c3910ea

Aliases

arxiv: 1205.3297 · arxiv_version: 1205.3297v3 · doi: 10.48550/arxiv.1205.3297 · pith_short_12: RFKI7P7XD7GF · pith_short_16: RFKI7P7XD7GFK3HD · pith_short_8: RFKI7P7X

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/RFKI7P7XD7GFK3HDNAI7D7PYQW \
  | 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: 89548fbff71fcc556ce36811f1fdf88593a6ce99ea9651e8208338c72c3910ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a36155228dcfd00194f6afc1fff7b0b6bd0f4b2d8bc6f2e24dc89c93c8cff0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-05-15T09:09:03Z",
    "title_canon_sha256": "3fcfdd47d1293d47266f814850145c27c3ee954bb33206a03a7af037284c1ba5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3297",
    "kind": "arxiv",
    "version": 3
  }
}