Pith Number

pith:P5Y3T5YP

pith:2017:P5Y3T5YP2XGI357ZT22J6MGWRX

not attested not anchored not stored refs pending

Fibonacci Numbers and the Golden Ratio in Biology, Physics, Astrophysics, Chemistry and Technology: A Non-Exhaustive Review

Vladimir Pletser

arxiv:1801.01369 v1 · 2017-12-29 · physics.pop-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5Y3T5YP2XGI357ZT22J6MGWRX}

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	2026-05-18T00:26:42.326430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f71b9f70fd5cc8df7f99eb49f30d68dccba6e5b875fde63dcd851f3ef5664cf

Aliases

arxiv: 1801.01369 · arxiv_version: 1801.01369v1 · doi: 10.48550/arxiv.1801.01369 · pith_short_12: P5Y3T5YP2XGI · pith_short_16: P5Y3T5YP2XGI357Z · pith_short_8: P5Y3T5YP

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/P5Y3T5YP2XGI357ZT22J6MGWRX \
  | 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: 7f71b9f70fd5cc8df7f99eb49f30d68dccba6e5b875fde63dcd851f3ef5664cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78e9bcb79f57cb9ae3bf0e3f21448edfdcd6d9481acee63692708686d4377d05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.pop-ph",
    "submitted_at": "2017-12-29T03:10:47Z",
    "title_canon_sha256": "9da80500c7cfde4fe336f4dc6e82c5c84739bd5c8366487d855fd6a4a89995cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01369",
    "kind": "arxiv",
    "version": 1
  }
}