Pith Number

pith:RS6TALHA

pith:2011:RS6TALHASLZVQBZZ27XP3OOYEC

not attested not anchored not stored refs pending

Repeated derivatives of composite functions and generalizations of the Leibniz rule

D. Babusci, G. Dattoli, K. A. Penson, K. G\'orska

arxiv:1112.2893 v1 · 2011-12-13 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RS6TALHASLZVQBZZ27XP3OOYEC}

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	2026-05-18T02:49:46.267887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cbd302ce092f3580739d7eefdb9d820a17dfa71b677362c7863a4ef68af001d

Aliases

arxiv: 1112.2893 · arxiv_version: 1112.2893v1 · doi: 10.48550/arxiv.1112.2893 · pith_short_12: RS6TALHASLZV · pith_short_16: RS6TALHASLZVQBZZ · pith_short_8: RS6TALHA

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/RS6TALHASLZVQBZZ27XP3OOYEC \
  | 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: 8cbd302ce092f3580739d7eefdb9d820a17dfa71b677362c7863a4ef68af001d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e06b1c63e6515542c087936fe04a1d4a66703ba9fe135a292deb6138cfd9067",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-12-13T13:55:56Z",
    "title_canon_sha256": "eda8cc982c14d14c94bfffb4defd46de5412f9fe68e2b31066f9a2c0c79c0f49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2893",
    "kind": "arxiv",
    "version": 1
  }
}