Pith Number

pith:4LYXYOOQ

pith:2016:4LYXYOOQLSATSMGEVKEB7V2F7D

not attested not anchored not stored refs pending

Any Finite Group is the Group of Some Binary, Convex Polytope

Jean-Paul Doignon

arxiv:1602.02987 v2 · 2016-02-09 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LYXYOOQLSATSMGEVKEB7V2F7D}

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	2026-05-18T00:35:09.528621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f17c39d05c813930c4aa881fd745f8f89a83ac7f2d46e5b5aee3260ab9b1c9

Aliases

arxiv: 1602.02987 · arxiv_version: 1602.02987v2 · doi: 10.48550/arxiv.1602.02987 · pith_short_12: 4LYXYOOQLSAT · pith_short_16: 4LYXYOOQLSATSMGE · pith_short_8: 4LYXYOOQ

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/4LYXYOOQLSATSMGEVKEB7V2F7D \
  | 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: e2f17c39d05c813930c4aa881fd745f8f89a83ac7f2d46e5b5aee3260ab9b1c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "560aa1af264f4429a0307332e3f37ff86af7caed0944d9d3f8dd26db7f59a507",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-09T14:05:38Z",
    "title_canon_sha256": "ad8079e1214706b2813949a5d30f3a8c2321bdab7ae239d87500f890af0e3285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02987",
    "kind": "arxiv",
    "version": 2
  }
}