Pith Number

pith:CDLDBV54

pith:2017:CDLDBV54P4ILC4GXHDQVAV6IQR

not attested not anchored not stored refs pending

Golden Ratio and Phyllotaxis, what is the mathematical link?

Christophe Reutenauer, Fran\c{c}ois Bergeron

arxiv:1704.02880 v1 · 2017-04-04 · math.HO · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CDLDBV54P4ILC4GXHDQVAV6IQR}

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	2026-05-18T00:46:34.135968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10d630d7bc7f10b170d738e15057c8845658c70298a62d29fb64033071c7097f

Aliases

arxiv: 1704.02880 · arxiv_version: 1704.02880v1 · doi: 10.48550/arxiv.1704.02880 · pith_short_12: CDLDBV54P4IL · pith_short_16: CDLDBV54P4ILC4GX · pith_short_8: CDLDBV54

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/CDLDBV54P4ILC4GXHDQVAV6IQR \
  | 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: 10d630d7bc7f10b170d738e15057c8845658c70298a62d29fb64033071c7097f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d91a9d79572eae294eb26a87cdae491fde955573fae62429ba81087ac5fcd5b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2017-04-04T20:35:16Z",
    "title_canon_sha256": "7be0b21a5612ea86a17e082f1eb26d597617352637681349cf4dc0664e9f32b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02880",
    "kind": "arxiv",
    "version": 1
  }
}