Pith Number

pith:AX5B6YQ3

pith:2016:AX5B6YQ3TV4J2XCVZWZMH7JEIJ

not attested not anchored not stored refs pending

Generalized Taylor formula with integral remainder for Besov-Dunkl spaces

Chokri Abdelkefi, Faten Rached, Safa Chabchoub

arxiv:1605.03326 v5 · 2016-05-11 · 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{AX5B6YQ3TV4J2XCVZWZMH7JEIJ}

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	2026-05-18T01:12:41.832556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05fa1f621b9d789d5c55cdb2c3fd244264a5c673c503f0195c556791befeecd2

Aliases

arxiv: 1605.03326 · arxiv_version: 1605.03326v5 · doi: 10.48550/arxiv.1605.03326 · pith_short_12: AX5B6YQ3TV4J · pith_short_16: AX5B6YQ3TV4J2XCV · pith_short_8: AX5B6YQ3

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/AX5B6YQ3TV4J2XCVZWZMH7JEIJ \
  | 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: 05fa1f621b9d789d5c55cdb2c3fd244264a5c673c503f0195c556791befeecd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fcaa61a06c9aff07b16894089d7af062ec2a4078715487cf20e6830b8fb2aa4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-05-11T08:34:38Z",
    "title_canon_sha256": "19239e13718930686b09938eaec0d2cefcf0c010b07babcf3e5761689109f52d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03326",
    "kind": "arxiv",
    "version": 5
  }
}