Pith Number

pith:OEKLKTY5

pith:2026:OEKLKTY5SRQ6W42DVG2VCYK5L2

not attested not anchored not stored refs pending

Atomic decomposition of anisotropic Herz-Amalgam spaces and boundedness of sublinear operators

Amjad Husssain, Babar Sultan, Mehvish Sultan, Tariq Mahmood

arxiv:2607.01260 v1 · 2026-06-09 · 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{OEKLKTY5SRQ6W42DVG2VCYK5L2}

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	2026-07-03T00:16:55.800989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7114b54f1d9461eb7343a9b551615d5eb0590b98174d31d824342ee59e5c4083

Aliases

arxiv: 2607.01260 · arxiv_version: 2607.01260v1 · doi: 10.48550/arxiv.2607.01260 · pith_short_12: OEKLKTY5SRQ6 · pith_short_16: OEKLKTY5SRQ6W42D · pith_short_8: OEKLKTY5

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/OEKLKTY5SRQ6W42DVG2VCYK5L2 \
  | 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: 7114b54f1d9461eb7343a9b551615d5eb0590b98174d31d824342ee59e5c4083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa6e73f16ed5f151a26b77985f3ed1baac35107890d482e0b2d8f59d4b9a201a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-09T14:24:04Z",
    "title_canon_sha256": "769759a10840b92f3c1112925e4bbda508f93d4be70db2744338ef520fadff84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01260",
    "kind": "arxiv",
    "version": 1
  }
}