Pith Number

pith:2N3JYTCX

pith:2018:2N3JYTCXRD5MVIYP5AMD6XVQJJ

not attested not anchored not stored refs pending

A remark on Whitehead's Lemma

Michael Heusener, Richard Weidmann

arxiv:1805.12357 v2 · 2018-05-31 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2N3JYTCXRD5MVIYP5AMD6XVQJJ}

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	2026-05-17T23:52:34.010789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3769c4c5788facaa30fe8183f5eb04a4a337e5f1bde08fbf4a869c4be9c6dee

Aliases

arxiv: 1805.12357 · arxiv_version: 1805.12357v2 · doi: 10.48550/arxiv.1805.12357 · pith_short_12: 2N3JYTCXRD5M · pith_short_16: 2N3JYTCXRD5MVIYP · pith_short_8: 2N3JYTCX

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/2N3JYTCXRD5MVIYP5AMD6XVQJJ \
  | 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: d3769c4c5788facaa30fe8183f5eb04a4a337e5f1bde08fbf4a869c4be9c6dee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81dc12c69ff8bc33f5fe448090f3866c535b082dc8604386f7b17ecf70656059",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-05-31T07:35:13Z",
    "title_canon_sha256": "63d8b3fbc07e652a606cb828cd862cb8abd07e6d186fd539a748caf12f2e5d87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.12357",
    "kind": "arxiv",
    "version": 2
  }
}