Pith Number

pith:Q5KRJEAB

pith:2018:Q5KRJEABB6NGFR7BULLZ3MY46Y

not attested not anchored not stored refs pending

When is Every Quasi-Multiplier a Multiplier?

Lawrence G. Brown

arxiv:1812.11086 v1 · 2018-12-24 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q5KRJEABB6NGFR7BULLZ3MY46Y}

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	2026-05-17T23:57:16.362684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87551490010f9a62c7e1a2d79db31cf61b9b7ef8adde643611cdcd00916dfe1d

Aliases

arxiv: 1812.11086 · arxiv_version: 1812.11086v1 · doi: 10.48550/arxiv.1812.11086 · pith_short_12: Q5KRJEABB6NG · pith_short_16: Q5KRJEABB6NGFR7B · pith_short_8: Q5KRJEAB

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/Q5KRJEABB6NGFR7BULLZ3MY46Y \
  | 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: 87551490010f9a62c7e1a2d79db31cf61b9b7ef8adde643611cdcd00916dfe1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45a02b4b922ddb1131251a8c86c46ae179b3ece71bb0cb5635d83c06f18fad32",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-12-24T21:37:25Z",
    "title_canon_sha256": "bed94cf7685453a583c74639e8b3db0101b321d43a3718888ef109dfcb910906"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11086",
    "kind": "arxiv",
    "version": 1
  }
}