Pith Number

pith:SA4Y2SLD

pith:2019:SA4Y2SLDSTIYTRQKAIJR2YC5RA

not attested not anchored not stored refs pending

Perturbation theory and higher order $\mathcal{S}^p$-differentiability of operator functions

Cl\'ement Coine

arxiv:1906.05585 v1 · 2019-06-13 · 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{SA4Y2SLDSTIYTRQKAIJR2YC5RA}

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	2026-05-17T23:43:24.863855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90398d496394d189c60a02131d605d8831111385532af1b81703c7ca08668c26

Aliases

arxiv: 1906.05585 · arxiv_version: 1906.05585v1 · doi: 10.48550/arxiv.1906.05585 · pith_short_12: SA4Y2SLDSTIY · pith_short_16: SA4Y2SLDSTIYTRQK · pith_short_8: SA4Y2SLD

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/SA4Y2SLDSTIYTRQKAIJR2YC5RA \
  | 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: 90398d496394d189c60a02131d605d8831111385532af1b81703c7ca08668c26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "862e49eb385a6083e80bdcac2931532ea637c8d87953dc261330361cc97ce9d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-06-13T09:57:11Z",
    "title_canon_sha256": "6a71c91c1abdf57d81f9888a5ee2b7ec02654ad2ebeaa309713ace781bc8f074"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.05585",
    "kind": "arxiv",
    "version": 1
  }
}