Pith Number

pith:DOBVCDZZ

pith:2011:DOBVCDZZQXWF5S4XWJTPB2F327

not attested not anchored not stored refs pending

Banach Contraction Principle for Cyclical Mappings on Partial Metric Spaces

Aiman Mukheimer, Jehad O. Alzabut, Thabet Abdeljawad, Younes Zaidan

arxiv:1112.5891 v1 · 2011-12-26 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOBVCDZZQXWF5S4XWJTPB2F327}

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	2026-05-18T04:05:37.338762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b83510f3985ec5ecb97b266f0e8bbd7e20d0c6c4cd11ae9e7910e6e36d99999

Aliases

arxiv: 1112.5891 · arxiv_version: 1112.5891v1 · doi: 10.48550/arxiv.1112.5891 · pith_short_12: DOBVCDZZQXWF · pith_short_16: DOBVCDZZQXWF5S4X · pith_short_8: DOBVCDZZ

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/DOBVCDZZQXWF5S4XWJTPB2F327 \
  | 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: 1b83510f3985ec5ecb97b266f0e8bbd7e20d0c6c4cd11ae9e7910e6e36d99999

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "293758e996fa2bde0b4c8dd8141513d756367b1c3a3aef93a070f42954d38642",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-12-26T21:06:46Z",
    "title_canon_sha256": "d0021833433ff684cd4037a3b54a63f4414c032e11ba936bbd5116b38381f79a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5891",
    "kind": "arxiv",
    "version": 1
  }
}