Pith Number

pith:Z2XYODBF

pith:2013:Z2XYODBFP5CS3E46CVBR7BMWJR

not attested not anchored not stored refs pending

A decomposition formula for the weighted commutator

Nelson Martins-Ferreira, Tim Van der Linden

arxiv:1304.1331 v1 · 2013-04-04 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2XYODBFP5CS3E46CVBR7BMWJR}

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	2026-05-18T02:26:53.149541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceaf870c257f452d939e15431f85964c4494ff1d10f815ee1a57a33128394591

Aliases

arxiv: 1304.1331 · arxiv_version: 1304.1331v1 · doi: 10.48550/arxiv.1304.1331 · pith_short_12: Z2XYODBFP5CS · pith_short_16: Z2XYODBFP5CS3E46 · pith_short_8: Z2XYODBF

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/Z2XYODBFP5CS3E46CVBR7BMWJR \
  | 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: ceaf870c257f452d939e15431f85964c4494ff1d10f815ee1a57a33128394591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cd3017d1d0dbb59977b8392990e3138f5fee1c28e42b6a75bd47dbb24d5d4fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-04-04T11:42:57Z",
    "title_canon_sha256": "aa1cefba7a7480f9b114d6d906588faf9a587415b9c8879f24db27ed33d58078"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1331",
    "kind": "arxiv",
    "version": 1
  }
}