Pith Number

pith:2K2L7PYB

pith:2010:2K2L7PYBAFQIZ2PFFOQ4PF5TRY

not attested not anchored not stored refs pending

Phyllotactic description of hard sphere packing in cylindrical channels

Adil Mughal, Denis Weaire, Ho Kei Chan

arxiv:1012.3684 v2 · 2010-12-16 · cond-mat.soft

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2K2L7PYBAFQIZ2PFFOQ4PF5TRY}

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	2026-05-18T02:04:23.633766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2b4bfbf0101608ce9e52ba1c797b38e14575e5cce4d791a2917c76a8a681462

Aliases

arxiv: 1012.3684 · arxiv_version: 1012.3684v2 · doi: 10.48550/arxiv.1012.3684 · pith_short_12: 2K2L7PYBAFQI · pith_short_16: 2K2L7PYBAFQIZ2PF · pith_short_8: 2K2L7PYB

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/2K2L7PYBAFQIZ2PFFOQ4PF5TRY \
  | 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: d2b4bfbf0101608ce9e52ba1c797b38e14575e5cce4d791a2917c76a8a681462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eba49f17032785d922fac17e1afdd0aa82a4d84262da0d73fe1f32bba14025fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2010-12-16T17:17:29Z",
    "title_canon_sha256": "d816d61fe2e379199528ef483a3cc3a03606bbacdba4fe10f108e8a18e419773"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3684",
    "kind": "arxiv",
    "version": 2
  }
}