Pith Number

pith:P4C7MEHW

pith:2015:P4C7MEHWKIA5HZ2Q6ERFH5QL7V

not attested not anchored not stored refs pending

Some consequences of Caristi's fixed point theorem, partial answers to some known open problems and its applications

Erdal Karapinar, Farshid Khojasteh, Hassan Khandani

arxiv:1506.05060 v1 · 2015-06-16 · math.MG · 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{P4C7MEHWKIA5HZ2Q6ERFH5QL7V}

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	2026-05-18T01:48:05.102166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f05f610f65201d3e750f12253f60bfd78076522c7e98b8787aec0e141b0e877

Aliases

arxiv: 1506.05060 · arxiv_version: 1506.05060v1 · doi: 10.48550/arxiv.1506.05060 · pith_short_12: P4C7MEHWKIA5 · pith_short_16: P4C7MEHWKIA5HZ2Q · pith_short_8: P4C7MEHW

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/P4C7MEHWKIA5HZ2Q6ERFH5QL7V \
  | 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: 7f05f610f65201d3e750f12253f60bfd78076522c7e98b8787aec0e141b0e877

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baa56b21294ae6a1140dd3cf06c7663f4021f9582e87d8044372815cad8c78a1",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-06-16T18:31:46Z",
    "title_canon_sha256": "a4886882cc77234fa29c768684d2f69fa0bc647df778ac8dafe0bdec4cdaffde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05060",
    "kind": "arxiv",
    "version": 1
  }
}