Pith Number

pith:ZKXRGPYP

pith:2016:ZKXRGPYPRNZ7NNQOWNSQJXDWV4

not attested not anchored not stored refs pending

Canonical idempotents of multiplicity-free families of algebras

Aaron Lauve, George H. Seelinger, Stephen Doty

arxiv:1606.08900 v5 · 2016-06-28 · math.RT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKXRGPYPRNZ7NNQOWNSQJXDWV4}

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	2026-05-17T23:43:57.026063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caaf133f0f8b73f6b60eb36504dc76af0b590205fd7c1647009280ef0320b8b6

Aliases

arxiv: 1606.08900 · arxiv_version: 1606.08900v5 · doi: 10.48550/arxiv.1606.08900 · pith_short_12: ZKXRGPYPRNZ7 · pith_short_16: ZKXRGPYPRNZ7NNQO · pith_short_8: ZKXRGPYP

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/ZKXRGPYPRNZ7NNQOWNSQJXDWV4 \
  | 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: caaf133f0f8b73f6b60eb36504dc76af0b590205fd7c1647009280ef0320b8b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "703e14d2ec38eba9dd997adcec0c078f318293d381f5de5bf8a0caeee8f5d903",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-06-28T22:05:07Z",
    "title_canon_sha256": "1b3a2a190c36b2246c10ef0786aa74e2bbb57c77ef64bd0b65696d41927bde79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08900",
    "kind": "arxiv",
    "version": 5
  }
}