Pith Number

pith:ZE6DDMSY

pith:2016:ZE6DDMSYPCXBZ5S35CBJNH4FN4

not attested not anchored not stored refs pending

On Contact Numbers of Finite Lattice Sphere Packings and the Maximal Coordination of Monatomic Crystals

Samuel Reid

arxiv:1602.04246 v1 · 2016-02-06 · 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{ZE6DDMSYPCXBZ5S35CBJNH4FN4}

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	2026-05-18T01:20:51.448603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c93c31b25878ae1cf65be882969f856f383630cd861a777d9508274c21c66065

Aliases

arxiv: 1602.04246 · arxiv_version: 1602.04246v1 · doi: 10.48550/arxiv.1602.04246 · pith_short_12: ZE6DDMSYPCXB · pith_short_16: ZE6DDMSYPCXBZ5S3 · pith_short_8: ZE6DDMSY

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/ZE6DDMSYPCXBZ5S35CBJNH4FN4 \
  | 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: c93c31b25878ae1cf65be882969f856f383630cd861a777d9508274c21c66065

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25ae2402787415e4685aa873790089b7df30572e57e6a8a550ea7f0e2a81e668",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-02-06T03:24:31Z",
    "title_canon_sha256": "10da9f1159be72fa2d9cd4f8c0d34635e1b50b1f6a4d10d8adc26e06d9d5cc8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04246",
    "kind": "arxiv",
    "version": 1
  }
}