Pith Number

pith:C7DEKMAZ

pith:2017:C7DEKMAZCYIXYPMRVEAIWHCJRK

not attested not anchored not stored refs pending

Densest packings of translates of strings and layers of balls

A. Heppes, E. Makai Jr, K. B\"or\"oczky

arxiv:1706.05282 v1 · 2017-06-16 · 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{C7DEKMAZCYIXYPMRVEAIWHCJRK}

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	2026-05-18T00:42:14.234408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17c645301916117c3d91a9008b1c498a8512a117895a6fc9d2080a4870b8d139

Aliases

arxiv: 1706.05282 · arxiv_version: 1706.05282v1 · doi: 10.48550/arxiv.1706.05282 · pith_short_12: C7DEKMAZCYIX · pith_short_16: C7DEKMAZCYIXYPMR · pith_short_8: C7DEKMAZ

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/C7DEKMAZCYIXYPMRVEAIWHCJRK \
  | 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: 17c645301916117c3d91a9008b1c498a8512a117895a6fc9d2080a4870b8d139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b424fd4b70ddaa97cc950a821f7f78620f9081b62213835866ca070c6f595873",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-06-16T14:20:43Z",
    "title_canon_sha256": "135364dfabb8d45ba7d7564bd0c74d4748a45caedcb9cc99bd7b01252c6aa50d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05282",
    "kind": "arxiv",
    "version": 1
  }
}