Pith Number

pith:LQG7OELJ

pith:2024:LQG7OELJU2PQS3QAPYPIFFVDE3

not attested not anchored not stored refs pending

Higher order $\mathcal{S}^{p}$-differentiability: The unitary case

Arup Chattopadhyay, Chandan Pradhan, Cl\'ement Coine, Saikat Giri

arxiv:2404.08253 v2 · 2024-04-12 · 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{LQG7OELJU2PQS3QAPYPIFFVDE3}

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

1 paper in Pith

Trace formulas for $\mathcal{S}^p$-perturbations and extension of Koplienko-Neidhardt trace formulas

Receipt and verification

First computed	2026-07-05T09:21:03.572194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c0df71169a69f096e007e1e8296a326dcc00d59c7e83ab54078f719e49a64dd

Aliases

arxiv: 2404.08253 · arxiv_version: 2404.08253v2 · doi: 10.48550/arxiv.2404.08253 · pith_short_12: LQG7OELJU2PQ · pith_short_16: LQG7OELJU2PQS3QA · pith_short_8: LQG7OELJ

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/LQG7OELJU2PQS3QAPYPIFFVDE3 \
  | 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: 5c0df71169a69f096e007e1e8296a326dcc00d59c7e83ab54078f719e49a64dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60652b68c651c9d05fbb834d2e81926721f7399c69b333439fe73c1329fea5eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-04-12T05:49:53Z",
    "title_canon_sha256": "53988439bf474248354c52d126d72674dba89a9d094e3d3b6d56ca0d2a2b71fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.08253",
    "kind": "arxiv",
    "version": 2
  }
}