Pith Number

pith:QE7I4744

pith:2015:QE7I47443MQY5VYPMLRRCZ4S4P

not attested not anchored not stored refs pending

On Limits of Dense Packing of Equal Spheres in a Cube

Milos Tatarevic

arxiv:1503.07933 v1 · 2015-03-27 · cs.CG · 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{QE7I47443MQY5VYPMLRRCZ4S4P}

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	2026-05-18T02:20:11.906608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

813e8e7f9cdb218ed70f62e3116792e3e0baf7ca4dfc20338e72fc9a6ebe4fff

Aliases

arxiv: 1503.07933 · arxiv_version: 1503.07933v1 · doi: 10.48550/arxiv.1503.07933 · pith_short_12: QE7I47443MQY · pith_short_16: QE7I47443MQY5VYP · pith_short_8: QE7I4744

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/QE7I47443MQY5VYPMLRRCZ4S4P \
  | 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: 813e8e7f9cdb218ed70f62e3116792e3e0baf7ca4dfc20338e72fc9a6ebe4fff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a351e9dd801c0f8f4c8e9d8380adb92c6e368ccc66ac69751e725294fa2f439b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2015-03-27T00:38:35Z",
    "title_canon_sha256": "9dcbcd9e325fbc6bc22194344ccc48d8a3d2a2f0f6ff4e7a309adc6834b6669c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07933",
    "kind": "arxiv",
    "version": 1
  }
}