Pith Number

pith:EM6BXB4T

pith:2016:EM6BXB4TYKWX7QMJFP43CLN5OD

not attested not anchored not stored refs pending

Optimal Packings of 22 and 33 Unit Squares in a Square

Wolfram Bentz

arxiv:1606.03746 v1 · 2016-06-12 · 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{EM6BXB4TYKWX7QMJFP43CLN5OD}

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	2026-05-18T01:12:33.154338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

233c1b8793c2ad7fc1892bf9b12dbd70fe867901eacdd20d32c8de720c1c7e1d

Aliases

arxiv: 1606.03746 · arxiv_version: 1606.03746v1 · doi: 10.48550/arxiv.1606.03746 · pith_short_12: EM6BXB4TYKWX · pith_short_16: EM6BXB4TYKWX7QMJ · pith_short_8: EM6BXB4T

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/EM6BXB4TYKWX7QMJFP43CLN5OD \
  | 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: 233c1b8793c2ad7fc1892bf9b12dbd70fe867901eacdd20d32c8de720c1c7e1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62431fac541db74b051cee5f0f9447f82bc37e1d3a33ee7bd683e890ab97c850",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-12T18:17:20Z",
    "title_canon_sha256": "20bb6f5bb3f813a0280b5ab7521bcad44662432e05ba2e235dee503cd9f09585"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03746",
    "kind": "arxiv",
    "version": 1
  }
}