Pith Number

pith:RTLN2H24

pith:2018:RTLN2H24XJCZJGCGR6GD727E75

not attested not anchored not stored refs pending

On a relation between packing and covering densities of convex bodies

Roman Prosanov

arxiv:1811.03983 v1 · 2018-11-09 · math.MG · 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{RTLN2H24XJCZJGCGR6GD727E75}

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	2026-05-18T00:01:11.373252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cd6dd1f5cba459498468f8c3febe4ff74b04d629d5468691b1d770f234e47b9

Aliases

arxiv: 1811.03983 · arxiv_version: 1811.03983v1 · doi: 10.48550/arxiv.1811.03983 · pith_short_12: RTLN2H24XJCZ · pith_short_16: RTLN2H24XJCZJGCG · pith_short_8: RTLN2H24

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/RTLN2H24XJCZJGCGR6GD727E75 \
  | 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: 8cd6dd1f5cba459498468f8c3febe4ff74b04d629d5468691b1d770f234e47b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "925b33c18f9e7da8a0e956b78d29c801a45966c797159c0eac4a0acf55bd0f58",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-11-09T15:58:46Z",
    "title_canon_sha256": "0e1958b3055423903be4ec7bb1c15e2c4bfd1d72481e3b7ec83a25c51dd9b786"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03983",
    "kind": "arxiv",
    "version": 1
  }
}