Pith Number

pith:FLIRSDMT

pith:2014:FLIRSDMTNC7FC5SBJKDGXHWD5V

not attested not anchored not stored refs pending

Divided Differences in Noncommutative Geometry: Rearrangement Lemma, Functional Calculus and Expansional Formula

Matthias Lesch

arxiv:1405.0863 v2 · 2014-05-05 · math.OA · math.CO · math.NA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FLIRSDMTNC7FC5SBJKDGXHWD5V}

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	2026-05-18T01:59:58.623367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ad1190d9368be5176414a866b9ec3ed4c10beaaa19f9108dabcca20b77e68fe

Aliases

arxiv: 1405.0863 · arxiv_version: 1405.0863v2 · doi: 10.48550/arxiv.1405.0863 · pith_short_12: FLIRSDMTNC7F · pith_short_16: FLIRSDMTNC7FC5SB · pith_short_8: FLIRSDMT

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/FLIRSDMTNC7FC5SBJKDGXHWD5V \
  | 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: 2ad1190d9368be5176414a866b9ec3ed4c10beaaa19f9108dabcca20b77e68fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd283546b3ecd594c87a2bf418445ff60ed89109c481c17f96126a36392f1c7e",
    "cross_cats_sorted": [
      "math.CO",
      "math.NA",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-05-05T11:48:21Z",
    "title_canon_sha256": "9a1638eb7b8ffc71f74315cd2073b1430f2e2622fc79b3dfd7543886a0558356"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0863",
    "kind": "arxiv",
    "version": 2
  }
}