Pith Number

pith:5MDV5KEO

pith:2026:5MDV5KEOYJAXVRSEEYEKKMRIDN

not attested not anchored not stored refs pending

Hybrid and Component-wise Leggett-Williams type Fixed Point Theorems in Product Spaces with Applications

Laura Mar\'ia Fern\'andez-Pardo

arxiv:2605.21732 v1 · 2026-05-20 · math.FA · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5MDV5KEOYJAXVRSEEYEKKMRIDN}

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	2026-05-22T01:03:29.774957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb075ea88ec2417ac6442608a532281b7a3b4627aa8126addd7e663ea8df4c54

Aliases

arxiv: 2605.21732 · arxiv_version: 2605.21732v1 · doi: 10.48550/arxiv.2605.21732 · pith_short_12: 5MDV5KEOYJAX · pith_short_16: 5MDV5KEOYJAXVRSE · pith_short_8: 5MDV5KEO

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/5MDV5KEOYJAXVRSEEYEKKMRIDN \
  | 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: eb075ea88ec2417ac6442608a532281b7a3b4627aa8126addd7e663ea8df4c54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fff1d59d8a44577fc065f94efa07a51a0a8fa0dad58b3129b8e43e069d35ee3",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-05-20T20:46:10Z",
    "title_canon_sha256": "caa9eab56f7c8de31a35b6b8a3e625a67a2342837016d881150dcdedd36e7e03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21732",
    "kind": "arxiv",
    "version": 1
  }
}