Pith Number

pith:4KY2YKSN

pith:2011:4KY2YKSNORSXA5PUPERYX7WIOS

not attested not anchored not stored refs pending

Some new common fixed point results of generalized contractive non-self multi-valued mappings

Farshid Khojasteh, Vladimir Rako\v{c}evi\'c

arxiv:1109.3021 v3 · 2011-09-14 · 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{4KY2YKSNORSXA5PUPERYX7WIOS}

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	2026-05-18T03:14:08.856177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2b1ac2a4d74657075f479238bfec87480567a3bf850a51881f8eec1cad85a59

Aliases

arxiv: 1109.3021 · arxiv_version: 1109.3021v3 · doi: 10.48550/arxiv.1109.3021 · pith_short_12: 4KY2YKSNORSX · pith_short_16: 4KY2YKSNORSXA5PU · pith_short_8: 4KY2YKSN

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/4KY2YKSNORSXA5PUPERYX7WIOS \
  | 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: e2b1ac2a4d74657075f479238bfec87480567a3bf850a51881f8eec1cad85a59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f1e7f4433ffc0f68da21a9aa35b47ae39888116222cbfcb1a485dbbb6e2813e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-09-14T08:48:03Z",
    "title_canon_sha256": "105751c9afd55cb878accbc8c78525fe75ce2d86022d60eb4c2523f42c557ebb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3021",
    "kind": "arxiv",
    "version": 3
  }
}