Pith Number

pith:BMPY4XVI

pith:2001:BMPY4XVI5O5BSS26Q2DPLUS35V

not attested not anchored not stored refs pending

More noncommutative 4-spheres

Andrzej Sitarz

arxiv:math-ph/0101001 v3 · 2001-01-02 · math-ph · hep-th · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BMPY4XVI5O5BSS26Q2DPLUS35V}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:14:23.524634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b1f8e5ea8ebba194b5e8686f5d25bed7b033f86ad77ca2cc4f2c3f5510d3c1b

Aliases

arxiv: math-ph/0101001 · arxiv_version: math-ph/0101001v3 · doi: 10.48550/arxiv.math-ph/0101001 · pith_short_12: BMPY4XVI5O5B · pith_short_16: BMPY4XVI5O5BSS26 · pith_short_8: BMPY4XVI

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/BMPY4XVI5O5BSS26Q2DPLUS35V \
  | 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: 0b1f8e5ea8ebba194b5e8686f5d25bed7b033f86ad77ca2cc4f2c3f5510d3c1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ee7977c084ec5642835b7d679c31549c6156141a40e4d3a94b81f4c8cf9baec",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-01-02T18:04:28Z",
    "title_canon_sha256": "2008b9ef58d5eca1fd08d9753448c18a543cb5ed2e1a1267fdf15da8408c873f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0101001",
    "kind": "arxiv",
    "version": 3
  }
}