Pith Number

pith:KWZDLZTY

pith:2016:KWZDLZTY5DVEFIZ5YTSI7A47A7

not attested not anchored not stored refs pending

Phyllotaxis, disk packing and Fibonacci numbers

Adil Mughal, Denis Weaire

arxiv:1608.05824 v4 · 2016-08-20 · 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{KWZDLZTY5DVEFIZ5YTSI7A47A7}

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	2026-05-18T00:49:58.609073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55b235e678e8ea42a33dc4e48f839f07eb275c724cb098fd78bbb99809a027a0

Aliases

arxiv: 1608.05824 · arxiv_version: 1608.05824v4 · doi: 10.48550/arxiv.1608.05824 · pith_short_12: KWZDLZTY5DVE · pith_short_16: KWZDLZTY5DVEFIZ5 · pith_short_8: KWZDLZTY

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/KWZDLZTY5DVEFIZ5YTSI7A47A7 \
  | 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: 55b235e678e8ea42a33dc4e48f839f07eb275c724cb098fd78bbb99809a027a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb1062d2ebba05cdcbd73a575b6ef01ff93942e17946832b37376bc3ceb38448",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2016-08-20T13:47:50Z",
    "title_canon_sha256": "eb289a0026077b1a2bc7fc5f8237e8f6a337c2007b278a2ca1952753a2bd664d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05824",
    "kind": "arxiv",
    "version": 4
  }
}