Pith Number

pith:L74W2VQK

pith:2011:L74W2VQKIL6WEUUOHDZDVGDUCL

not attested not anchored not stored refs pending

On a converse to Banach's Fixed Point Theorem

M\'arton Elekes

arxiv:1108.5920 v1 · 2011-08-30 · 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{L74W2VQKIL6WEUUOHDZDVGDUCL}

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	2026-05-18T04:14:28.235065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ff96d560a42fd62528e38f23a987412e172f780ad95aca925e57abc5b6162b1

Aliases

arxiv: 1108.5920 · arxiv_version: 1108.5920v1 · doi: 10.48550/arxiv.1108.5920 · pith_short_12: L74W2VQKIL6W · pith_short_16: L74W2VQKIL6WEUUO · pith_short_8: L74W2VQK

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/L74W2VQKIL6WEUUOHDZDVGDUCL \
  | 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: 5ff96d560a42fd62528e38f23a987412e172f780ad95aca925e57abc5b6162b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd795c95b0f3742218e380b6055decb60c3fd09443c3fdec336194d273d24c1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-08-30T11:19:28Z",
    "title_canon_sha256": "4e40964ee6bb4bbdaa2d18b06b5807c80bc0061ff9823149797e87680dad0865"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5920",
    "kind": "arxiv",
    "version": 1
  }
}