Pith Number

pith:F7PNZXSR

pith:2022:F7PNZXSR643KGOOJOCD7J5E3GL

not attested not anchored not stored refs pending

Fixed point results of enriched interpolative Kannan type operators with applications

Mujahid Abbas, Rizwan Anjum, Shakeela Riasat

arxiv:2209.13200 v1 · 2022-09-27 · 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{F7PNZXSR643KGOOJOCD7J5E3GL}

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	2026-07-05T05:01:07.659835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fdedcde51f736a339c97087f4f49b32db610fa467fadaa0c9e1fda0a4f075f4

Aliases

arxiv: 2209.13200 · arxiv_version: 2209.13200v1 · doi: 10.48550/arxiv.2209.13200 · pith_short_12: F7PNZXSR643K · pith_short_16: F7PNZXSR643KGOOJ · pith_short_8: F7PNZXSR

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/F7PNZXSR643KGOOJOCD7J5E3GL \
  | 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: 2fdedcde51f736a339c97087f4f49b32db610fa467fadaa0c9e1fda0a4f075f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59b9815b8c5c6ab10f00a28ea1dd3667cf14002c30931801f64eebdff54f6b1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-09-27T07:01:00Z",
    "title_canon_sha256": "11b2362ca57569bc273c5a2b4fd850a33ea33731a3480b64c87d12b730129d30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.13200",
    "kind": "arxiv",
    "version": 1
  }
}