Pith Number

pith:6P44Q7BO

pith:2017:6P44Q7BOOS2LE43I3CLYDRNK6Z

not attested not anchored not stored refs pending

Noncommutative Davis type decompositions and applications

Lian Wu, Narcisse Randrianantoanina, Quanhua Xu

arxiv:1712.01374 v1 · 2017-12-04 · math.PR · math.FA · 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{6P44Q7BOOS2LE43I3CLYDRNK6Z}

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	2026-05-18T00:09:19.123127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3f9c87c2e74b4b27368d89781c5aaf6699de9d5651079303a2aa3cd74a07cc9

Aliases

arxiv: 1712.01374 · arxiv_version: 1712.01374v1 · doi: 10.48550/arxiv.1712.01374 · pith_short_12: 6P44Q7BOOS2L · pith_short_16: 6P44Q7BOOS2LE43I · pith_short_8: 6P44Q7BO

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/6P44Q7BOOS2LE43I3CLYDRNK6Z \
  | 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: f3f9c87c2e74b4b27368d89781c5aaf6699de9d5651079303a2aa3cd74a07cc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "299e21454a3bfb92f886b12249500b5bbd6bcb1649c4e61f2747faba82154be4",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-04T21:25:20Z",
    "title_canon_sha256": "59376e00c5eacee8080c9d8aceb46275af2e51965a75f77a3894a5dfa72562ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01374",
    "kind": "arxiv",
    "version": 1
  }
}