Pith Number

pith:Z6DREGB4

pith:2015:Z6DREGB4N3BLZKUKSLMOHRPOE3

not attested not anchored not stored refs pending

On contact numbers of totally separable unit sphere packings

Balazs Szalkai, Istvan Szalkai, Karoly Bezdek

arxiv:1501.07907 v2 · 2015-01-30 · 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{Z6DREGB4N3BLZKUKSLMOHRPOE3}

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	2026-05-18T01:26:18.677961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf8712183c6ec2bcaa8a92d8e3c5ee26f907000d587b7761988f75523241959a

Aliases

arxiv: 1501.07907 · arxiv_version: 1501.07907v2 · doi: 10.48550/arxiv.1501.07907 · pith_short_12: Z6DREGB4N3BL · pith_short_16: Z6DREGB4N3BLZKUK · pith_short_8: Z6DREGB4

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/Z6DREGB4N3BLZKUKSLMOHRPOE3 \
  | 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: cf8712183c6ec2bcaa8a92d8e3c5ee26f907000d587b7761988f75523241959a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5d205cf693467cba1c5df4e704b2975a83b3bab0639646f64c7e73f94802a11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-01-30T20:47:02Z",
    "title_canon_sha256": "96af95630a2d52ce30c429833fde4a9f9f84104b55fbc725719d00ce5ed01fde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07907",
    "kind": "arxiv",
    "version": 2
  }
}