Pith Number

pith:FR4EYK74

pith:2008:FR4EYK74ODSHIMY5W26UEI75TW

not attested not anchored not stored refs pending

Examples of quantum commutants

Piotr M. Soltan

arxiv:0806.0503 v2 · 2008-06-03 · math.QA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FR4EYK74ODSHIMY5W26UEI75TW}

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	2026-05-18T04:24:44.138670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c784c2bfc70e474331db6bd4223fd9daa57b01ff039bbe1ac4e036f454ae7ce

Aliases

arxiv: 0806.0503 · arxiv_version: 0806.0503v2 · doi: 10.48550/arxiv.0806.0503 · pith_short_12: FR4EYK74ODSH · pith_short_16: FR4EYK74ODSHIMY5 · pith_short_8: FR4EYK74

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/FR4EYK74ODSHIMY5W26UEI75TW \
  | 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: 2c784c2bfc70e474331db6bd4223fd9daa57b01ff039bbe1ac4e036f454ae7ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04e2f9541986321c8aa5b1b12c5e113671e420ae4c263b16c376314df9e46d29",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2008-06-03T11:34:00Z",
    "title_canon_sha256": "26dfb9dbd1f893d3f5166d5e7184522b1a62b9f378c221f2913335ddd18184e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.0503",
    "kind": "arxiv",
    "version": 2
  }
}