Pith Number

pith:H26L46YD

pith:2004:H26L46YDQCPJPN2MTIFTA46DAI

not attested not anchored not stored refs pending

Compact packings of the plane with two sizes of discs

Tom Kennedy

arxiv:math/0407145 v2 · 2004-07-08 · 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{H26L46YDQCPJPN2MTIFTA46DAI}

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.

Cited by

1 paper in Pith

Sphere Packing on a Quantum Computer for Chromatography Modeling

Receipt and verification

First computed	2026-07-04T15:09:55.968697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ebcbe7b03809e97b74c9a0b3073c30214533dcdf8c7795f601fa3e857308c60

Aliases

arxiv: math/0407145 · arxiv_version: math/0407145v2 · doi: 10.48550/arxiv.math/0407145 · pith_short_12: H26L46YDQCPJ · pith_short_16: H26L46YDQCPJPN2M · pith_short_8: H26L46YD

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/H26L46YDQCPJPN2MTIFTA46DAI \
  | 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: 3ebcbe7b03809e97b74c9a0b3073c30214533dcdf8c7795f601fa3e857308c60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "699de9ec425311330386840f6ddd75922f719921771fb88b415bcfc9887a4cb3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2004-07-08T16:10:34Z",
    "title_canon_sha256": "0e19903b2c231c41bba6ffc97fd8690e4ee793a76b78e49b8ee3af2b3b1a5483"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407145",
    "kind": "arxiv",
    "version": 2
  }
}