Pith Number

pith:GVRFH4EM

pith:2018:GVRFH4EMPEGR2IWVF2OZ2RVDGA

not attested not anchored not stored refs pending

No bullying! A playful proof of Brouwer's fixed-point theorem

Henrik Petri, Mark Voorneveld

arxiv:1807.10906 v1 · 2018-07-28 · 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{GVRFH4EMPEGR2IWVF2OZ2RVDGA}

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	2026-05-18T00:09:35.065062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

356253f08c790d1d22d52e9d9d46a3303baeab56e9592f426abd7b8570114a16

Aliases

arxiv: 1807.10906 · arxiv_version: 1807.10906v1 · doi: 10.48550/arxiv.1807.10906 · pith_short_12: GVRFH4EMPEGR · pith_short_16: GVRFH4EMPEGR2IWV · pith_short_8: GVRFH4EM

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/GVRFH4EMPEGR2IWVF2OZ2RVDGA \
  | 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: 356253f08c790d1d22d52e9d9d46a3303baeab56e9592f426abd7b8570114a16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0134745e982b4c646cfd76ea2f8d6bb8222d25496a0d3775a0c2fbc333b94e02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2018-07-28T07:48:59Z",
    "title_canon_sha256": "7119c717a086d61eb45ba1ff7fdf7744f75ff82d57ab9b0de7f348911dee8321"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10906",
    "kind": "arxiv",
    "version": 1
  }
}