Pith Number

pith:M5BSWZLE

pith:2013:M5BSWZLEBQL7MBHSOWF5QD3RBU

not attested not anchored not stored refs pending

Common fixed points for Banach-Caristi contractive pairs

Mihai Turinici

arxiv:1303.0235 v2 · 2013-03-01 · 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{M5BSWZLEBQL7MBHSOWF5QD3RBU}

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	2026-05-18T03:07:03.792794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67432b65640c17f604f2758bd80f710d3fcf332cb3ac4c4fd3e088828a834f42

Aliases

arxiv: 1303.0235 · arxiv_version: 1303.0235v2 · doi: 10.48550/arxiv.1303.0235 · pith_short_12: M5BSWZLEBQL7 · pith_short_16: M5BSWZLEBQL7MBHS · pith_short_8: M5BSWZLE

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/M5BSWZLEBQL7MBHSOWF5QD3RBU \
  | 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: 67432b65640c17f604f2758bd80f710d3fcf332cb3ac4c4fd3e088828a834f42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f8c3cdaf80e18010acc6891da23c61796f911f3e44ca8f4678c1fcd93c3e7d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2013-03-01T17:59:19Z",
    "title_canon_sha256": "358b61f90b66491c094f20b2aa073481d49a37c89ca597779eaf8c5e0a35dd8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0235",
    "kind": "arxiv",
    "version": 2
  }
}