Pith Number

pith:L2NTYME4

pith:2015:L2NTYME4W7ECZPMEV76F36QRAF

not attested not anchored not stored refs pending

Caristi-Kirk type and Boyd&Wong-Browder-Matkowski-Rus type fixed point results in b-metric spaces

Alexandru Mihail, Radu Miculescu

arxiv:1512.03968 v1 · 2015-12-12 · 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{L2NTYME4W7ECZPMEV76F36QRAF}

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.

Cited by

1 paper in Pith

Fixed Points of Meir-Keeler and Leader Contractions with bounded orbits in b-Metric Spaces

Receipt and verification

First computed	2026-05-18T01:24:23.443098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e9b3c309cb7c82cbd84affc5dfa11017bd502a922abe278cc0fab58f946251d

Aliases

arxiv: 1512.03968 · arxiv_version: 1512.03968v1 · doi: 10.48550/arxiv.1512.03968 · pith_short_12: L2NTYME4W7EC · pith_short_16: L2NTYME4W7ECZPME · pith_short_8: L2NTYME4

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/L2NTYME4W7ECZPMEV76F36QRAF \
  | 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: 5e9b3c309cb7c82cbd84affc5dfa11017bd502a922abe278cc0fab58f946251d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9592f8dd6f64a045950eef2292fe8bd369125e9d6eae3fa0ce49928714f55539",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-12-12T22:31:42Z",
    "title_canon_sha256": "bedef7f1f492a1d2cadccc8a339bd0664e7bb681134f9e11dcb42fb91cf3d617"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03968",
    "kind": "arxiv",
    "version": 1
  }
}