Pith Number

pith:T4EMX44A

pith:2008:T4EMX44AHDTTMISROJ5ANZ5DD2

not attested not anchored not stored refs pending

Generalized asymptotic Euler's relation for certain families of polytopes

Laszlo Major

arxiv:0809.0088 v3 · 2008-08-30 · 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{T4EMX44AHDTTMISROJ5ANZ5DD2}

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	2026-05-18T04:18:43.863546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f08cbf38038e7362251727a06e7a31eb7fbc35c6224db9e0373bb3b7cb94d42

Aliases

arxiv: 0809.0088 · arxiv_version: 0809.0088v3 · doi: 10.48550/arxiv.0809.0088 · pith_short_12: T4EMX44AHDTT · pith_short_16: T4EMX44AHDTTMISR · pith_short_8: T4EMX44A

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/T4EMX44AHDTTMISROJ5ANZ5DD2 \
  | 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: 9f08cbf38038e7362251727a06e7a31eb7fbc35c6224db9e0373bb3b7cb94d42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "033665c7b183b10faa36ed1a372eff0da2e5d16ee8b4288c42a4e555176878b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-08-30T21:17:02Z",
    "title_canon_sha256": "93b8c13d558ef148765e37760a70fcc4dd3238be881dbf841633628a489a1c56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0088",
    "kind": "arxiv",
    "version": 3
  }
}