Pith Number

pith:F6DTX2QY

pith:2006:F6DTX2QYXKSBCPXRUY5JHD6GFD

not attested not anchored not stored refs pending

Why do partitions occur in Faa di Bruno's chain rule for higher derivatives?

Eliahu Levy

arxiv:math/0602183 v1 · 2006-02-09 · math.GM · 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{F6DTX2QYXKSBCPXRUY5JHD6GFD}

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.

Cited by

3 papers in Pith

Discrete Fa\`a di Bruno via M\"obius Inversion

Fa\`a di Bruno is Taylor Composition

Receipt and verification

First computed	2026-07-04T14:53:23.594869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f873bea18baa4113ef1a63a938fc628d1a5a9df25c051289fbd964b81cd6884

Aliases

arxiv: math/0602183 · arxiv_version: math/0602183v1 · doi: 10.48550/arxiv.math/0602183 · pith_short_12: F6DTX2QYXKSB · pith_short_16: F6DTX2QYXKSBCPXR · pith_short_8: F6DTX2QY

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/F6DTX2QYXKSBCPXRUY5JHD6GFD \
  | 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: 2f873bea18baa4113ef1a63a938fc628d1a5a9df25c051289fbd964b81cd6884

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c01886baba3896f6fda57de799583b1c410f29fcf9576a8992ff977af9b69846",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.GM",
    "submitted_at": "2006-02-09T13:13:10Z",
    "title_canon_sha256": "382f1a498641b1406a179298ad4df21ea17db148d04024396ef1441d9b244262"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0602183",
    "kind": "arxiv",
    "version": 1
  }
}