Pith Number

pith:LNM6RAPA

pith:2019:LNM6RAPAJN2O5WX74Z33MFZVCT

not attested not anchored not stored refs pending

The covering radius and a discrete surface area for non-hollow simplices

Francisco Santos, Giulia Codenotti, Matthias Schymura

arxiv:1903.02866 v2 · 2019-03-07 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNM6RAPAJN2O5WX74Z33MFZVCT}

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	2026-07-05T04:54:11.109142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b59e881e04b74eedaffe677b6173514f134e6d1484ee4b0779a8142e4ec34da

Aliases

arxiv: 1903.02866 · arxiv_version: 1903.02866v2 · doi: 10.48550/arxiv.1903.02866 · pith_short_12: LNM6RAPAJN2O · pith_short_16: LNM6RAPAJN2O5WX7 · pith_short_8: LNM6RAPA

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/LNM6RAPAJN2O5WX74Z33MFZVCT \
  | 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: 5b59e881e04b74eedaffe677b6173514f134e6d1484ee4b0779a8142e4ec34da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48a9477b88920b909ab1d65ee5057bcc1b6dfd28eb172a94636c1c657763436e",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-07T12:21:40Z",
    "title_canon_sha256": "9887b8876c77030bb940abe1e2eafc094bb90287ceaa1548881420f5b57a17bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02866",
    "kind": "arxiv",
    "version": 2
  }
}