Pith Number

pith:VQJFXZHC

pith:2016:VQJFXZHC36W46YOFLJUQ6XORXD

not attested not anchored not stored refs pending

Brouwer and Cardinalities

Klaas Pieter Hart

arxiv:1612.06606 v3 · 2016-12-20 · math.LO · 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{VQJFXZHC36W46YOFLJUQ6XORXD}

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	2026-05-18T00:01:15.476962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac125be4e2dfadcf61c55a690f5dd1b8f4f7abca6f067fcb99d94e57bf704daf

Aliases

arxiv: 1612.06606 · arxiv_version: 1612.06606v3 · doi: 10.48550/arxiv.1612.06606 · pith_short_12: VQJFXZHC36W4 · pith_short_16: VQJFXZHC36W46YOF · pith_short_8: VQJFXZHC

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/VQJFXZHC36W46YOFLJUQ6XORXD \
  | 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: ac125be4e2dfadcf61c55a690f5dd1b8f4f7abca6f067fcb99d94e57bf704daf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ffe6f39d48854bb8acee741e4de739b05e40e37bc5b4c88b07d2bbee2763619",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-12-20T11:04:44Z",
    "title_canon_sha256": "d518ea5bf7ff65945bb7a7a9472e582ae25351661480985cae7dadff59fb203b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06606",
    "kind": "arxiv",
    "version": 3
  }
}