Pith Number

pith:YIDUKWAI

pith:2018:YIDUKWAIVPD2PAHD3Z6IYE3XZZ

not attested not anchored not stored refs pending

On some study of the fine spectra of generalized difference operator $\Delta_{a,b}$ on $\ell_p \ (1<p<\infty)$

Arnab Patra, P. D. Srivastava, Riddhick Birbonshi

arxiv:1807.02849 v1 · 2018-07-08 · 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{YIDUKWAIVPD2PAHD3Z6IYE3XZZ}

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	2026-05-18T00:11:13.535067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c207455808abc7a780e3de7c8c1377ce4529c24352b60491b51c13b3067557bc

Aliases

arxiv: 1807.02849 · arxiv_version: 1807.02849v1 · doi: 10.48550/arxiv.1807.02849 · pith_short_12: YIDUKWAIVPD2 · pith_short_16: YIDUKWAIVPD2PAHD · pith_short_8: YIDUKWAI

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/YIDUKWAIVPD2PAHD3Z6IYE3XZZ \
  | 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: c207455808abc7a780e3de7c8c1377ce4529c24352b60491b51c13b3067557bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d246c917d73bffbc76be037994b399f8d827fd7162c8bbfdddecaba2a820ba1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-07-08T16:35:31Z",
    "title_canon_sha256": "9562f10d1ce11c7a45839eb16f08797627b9b78e115de29dcdf474d5387fe076"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02849",
    "kind": "arxiv",
    "version": 1
  }
}