Pith Number

pith:5L42YPME

pith:2016:5L42YPMEALFFGV3NSUJNJ7OQH6

not attested not anchored not stored refs pending

Highest rank of a polytope for $A_n$

Dimitri Leemans, Maria Elisa Fernandes, Mark Mixer, Peter J. Cameron

arxiv:1605.09173 v1 · 2016-05-30 · math.GR · 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{5L42YPMEALFFGV3NSUJNJ7OQH6}

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	2026-05-17T23:44:43.670363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaf9ac3d8402ca53576d9512d4fdd03fb5a59b6a0e767a1d1a3214225dacc1c4

Aliases

arxiv: 1605.09173 · arxiv_version: 1605.09173v1 · doi: 10.48550/arxiv.1605.09173 · pith_short_12: 5L42YPMEALFF · pith_short_16: 5L42YPMEALFFGV3N · pith_short_8: 5L42YPME

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/5L42YPMEALFFGV3NSUJNJ7OQH6 \
  | 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: eaf9ac3d8402ca53576d9512d4fdd03fb5a59b6a0e767a1d1a3214225dacc1c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1717cff5af1999330731b10a71e356d5a32d5c76c53c924dc4f77fb13ac8e35",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-05-30T10:58:30Z",
    "title_canon_sha256": "b20d582bb9e14b3088d973b7719bd7e15c9b7af28ed8ac7d8d38efc21b86658c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09173",
    "kind": "arxiv",
    "version": 1
  }
}