Pith Number

pith:D3JDSKGZ

pith:2008:D3JDSKGZH72N5KVGK2VIXUIBIK

not attested not anchored not stored refs pending

Noncommutative variations on Laplace's equation

Jonathan Rosenberg

arxiv:0802.4033 v3 · 2008-02-27 · 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{D3JDSKGZH72N5KVGK2VIXUIBIK}

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	2026-05-18T04:27:15.415570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ed23928d93ff4deaaa656aa8bd10142aeef96ef8daaad83669d0a78e5979568

Aliases

arxiv: 0802.4033 · arxiv_version: 0802.4033v3 · doi: 10.48550/arxiv.0802.4033 · pith_short_12: D3JDSKGZH72N · pith_short_16: D3JDSKGZH72N5KVG · pith_short_8: D3JDSKGZ

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/D3JDSKGZH72N5KVGK2VIXUIBIK \
  | 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: 1ed23928d93ff4deaaa656aa8bd10142aeef96ef8daaad83669d0a78e5979568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c79c69800f175ce69701cd59eb3116c148e6ef82604a36b1cbdf7c8e827fbd12",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-02-27T15:01:42Z",
    "title_canon_sha256": "71ff9ef9cbc7d26a46d6595bad697b8b3214500a7e6efbfb31c4659b03f65c19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.4033",
    "kind": "arxiv",
    "version": 3
  }
}