Pith Number

pith:B2L45EOG

pith:2022:B2L45EOGTVRVHEVR3LKPTAELQP

not attested not anchored not stored refs pending

Smooth cuboids in group theory

Joshua Maglione, Mima Stanojkovski

arxiv:2212.03941 v4 · 2022-12-07 · math.GR · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B2L45EOGTVRVHEVR3LKPTAELQP}

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	2026-07-05T10:52:08.313130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e97ce91c69d635392b1dad4f9808b83d73f51960ae4b255f85091d5035a68df

Aliases

arxiv: 2212.03941 · arxiv_version: 2212.03941v4 · doi: 10.48550/arxiv.2212.03941 · pith_short_12: B2L45EOGTVRV · pith_short_16: B2L45EOGTVRVHEVR · pith_short_8: B2L45EOG

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/B2L45EOGTVRVHEVR3LKPTAELQP \
  | 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: 0e97ce91c69d635392b1dad4f9808b83d73f51960ae4b255f85091d5035a68df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61b65b70de77e4e7536076f2ef12ebedc2c8cfb8aefd229862c229b87b170e11",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-12-07T20:17:27Z",
    "title_canon_sha256": "b193a70ad25270c805821c2c7a601c8942f495c1e98719a7df7a032e9d44e416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.03941",
    "kind": "arxiv",
    "version": 4
  }
}