Pith Number

pith:QPSRM6PK

pith:2011:QPSRM6PKOUTVKBW7TMHI2L4AMV

not attested not anchored not stored refs pending

On the logarithm of the derivative operator

D. Babusci, G. Dattoli

arxiv:1105.5978 v2 · 2011-05-30 · math.CA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPSRM6PKOUTVKBW7TMHI2L4AMV}

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	2026-05-18T03:45:53.379050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83e51679ea75275506df9b0e8d2f80655e5059ff77c463573ee43c752555a05d

Aliases

arxiv: 1105.5978 · arxiv_version: 1105.5978v2 · doi: 10.48550/arxiv.1105.5978 · pith_short_12: QPSRM6PKOUTV · pith_short_16: QPSRM6PKOUTVKBW7 · pith_short_8: QPSRM6PK

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/QPSRM6PKOUTVKBW7TMHI2L4AMV \
  | 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: 83e51679ea75275506df9b0e8d2f80655e5059ff77c463573ee43c752555a05d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1dc1a7faa084fe0121d41e52bb48dd975320e46867f9c1b1cfc210b46e6690d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-05-30T13:00:55Z",
    "title_canon_sha256": "756c94fb26182bdbfc1ebeedd8079b56faa04f1c1c442fc162f1ff7d275af12a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5978",
    "kind": "arxiv",
    "version": 2
  }
}