Pith Number

pith:6HN74LUT

pith:2018:6HN74LUTEKJ7LTCHIRC6KOKJ7E

not attested not anchored not stored refs pending

Combinatorial Proof of Kakutani's Fixed Point Theorem

Yitzchak Shmalo

arxiv:1811.08454 v1 · 2018-11-20 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6HN74LUTEKJ7LTCHIRC6KOKJ7E}

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	2026-05-18T00:00:12.459159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1dbfe2e932293f5cc474445e53949f9047e7a3f24f7c3ed19e74655acb00b63

Aliases

arxiv: 1811.08454 · arxiv_version: 1811.08454v1 · doi: 10.48550/arxiv.1811.08454 · pith_short_12: 6HN74LUTEKJ7 · pith_short_16: 6HN74LUTEKJ7LTCH · pith_short_8: 6HN74LUT

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/6HN74LUTEKJ7LTCHIRC6KOKJ7E \
  | 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: f1dbfe2e932293f5cc474445e53949f9047e7a3f24f7c3ed19e74655acb00b63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c7b01183be8c8f31ff3234333dfe9b0d0e7c94eb640e2532d2f608b839cddc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-11-20T19:29:10Z",
    "title_canon_sha256": "4ffd495f628bfd5f6e45c404576347e3cf3ac4ae95a0bd50c4462d438191de8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08454",
    "kind": "arxiv",
    "version": 1
  }
}