Pith Number

pith:KRJBGWNR

pith:2016:KRJBGWNRXBH5DSCCQDO42QMVWX

not attested not anchored not stored refs pending

Kakutani's fixed point theorem in constructive mathematics

Matthew Hendtlass

arxiv:1611.02531 v1 · 2016-11-08 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KRJBGWNRXBH5DSCCQDO42QMVWX}

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	2026-05-18T00:59:51.738528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54521359b1b84fd1c84280ddcd4195b5d5431d15d55278049e5f3bd3f5ce07cd

Aliases

arxiv: 1611.02531 · arxiv_version: 1611.02531v1 · doi: 10.48550/arxiv.1611.02531 · pith_short_12: KRJBGWNRXBH5 · pith_short_16: KRJBGWNRXBH5DSCC · pith_short_8: KRJBGWNR

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/KRJBGWNRXBH5DSCCQDO42QMVWX \
  | 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: 54521359b1b84fd1c84280ddcd4195b5d5431d15d55278049e5f3bd3f5ce07cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eef99b8a78d24416dd2a3c5ae0aa5db4498bf80f218556e394ac5e5582dcdc8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-11-08T14:40:55Z",
    "title_canon_sha256": "dcf426c870e02c9ea9eddb6a0aac8a15b144fe8bdd2081943bd6d41d8a9fcedc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02531",
    "kind": "arxiv",
    "version": 1
  }
}