Pith Number

pith:EZTXWELW

pith:2017:EZTXWELWW6NQC2XJ2D4RQUVCDV

not attested not anchored not stored refs pending

On compact packings of the plane with circles of three radii

Miek Messerschmidt

arxiv:1709.03487 v2 · 2017-09-11 · 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{EZTXWELWW6NQC2XJ2D4RQUVCDV}

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	2026-05-17T23:39:27.745814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26677b1176b79b016ae9d0f91852a21d4e61c7c28c897ba6ad28a5c942ec50fa

Aliases

arxiv: 1709.03487 · arxiv_version: 1709.03487v2 · doi: 10.48550/arxiv.1709.03487 · pith_short_12: EZTXWELWW6NQ · pith_short_16: EZTXWELWW6NQC2XJ · pith_short_8: EZTXWELW

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/EZTXWELWW6NQC2XJ2D4RQUVCDV \
  | 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: 26677b1176b79b016ae9d0f91852a21d4e61c7c28c897ba6ad28a5c942ec50fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b75ecd580d88dfa58d4ea9ea4117e4d3150761e9a5caff65f7b4b3cda97a833d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-09-11T17:43:14Z",
    "title_canon_sha256": "73fb94a44bbac1e57ab52c42cd51fb076000c002612f175b4d85a98f3b3901fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03487",
    "kind": "arxiv",
    "version": 2
  }
}