Pith Number

pith:QVNUECX7

pith:2013:QVNUECX7SD7S2WMVW3N7DBRUOK

not attested not anchored not stored refs pending

Constructing Double Magma with Commutation Operations

Charles C. Edmunds

arxiv:1308.2691 v1 · 2013-08-12 · 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{QVNUECX7SD7S2WMVW3N7DBRUOK}

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	2026-05-18T03:16:05.464879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

855b420aff90ff2d5995b6dbf1863472b932e2d1c2a2073faefebfc957987ed3

Aliases

arxiv: 1308.2691 · arxiv_version: 1308.2691v1 · doi: 10.48550/arxiv.1308.2691 · pith_short_12: QVNUECX7SD7S · pith_short_16: QVNUECX7SD7S2WMV · pith_short_8: QVNUECX7

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/QVNUECX7SD7S2WMVW3N7DBRUOK \
  | 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: 855b420aff90ff2d5995b6dbf1863472b932e2d1c2a2073faefebfc957987ed3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "020e4217db41391fb273eef9e942e0b0a840a27072052e4d63dc81495229de7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-08-12T20:21:39Z",
    "title_canon_sha256": "fab381118a5dcd2f580ec1495ffd8591d5c700882afcf553717cf42f1cdfb3f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2691",
    "kind": "arxiv",
    "version": 1
  }
}