Pith Number

pith:LGDT3BGG

pith:2016:LGDT3BGGWVYQTI57RV2GRFHLOK

not attested not anchored not stored refs pending

The Unexpected Fractal Signatures in Fibonacci chains

Fang Fang, Klee Irwin, Raymond Aschheim

arxiv:1609.01159 v4 · 2016-09-01 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGDT3BGGWVYQTI57RV2GRFHLOK}

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	2026-05-18T01:02:20.488013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59873d84c6b57109a3bf8d746894eb72bcb4f347c6162631372feb451bc51178

Aliases

arxiv: 1609.01159 · arxiv_version: 1609.01159v4 · doi: 10.48550/arxiv.1609.01159 · pith_short_12: LGDT3BGGWVYQ · pith_short_16: LGDT3BGGWVYQTI57 · pith_short_8: LGDT3BGG

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/LGDT3BGGWVYQTI57RV2GRFHLOK \
  | 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: 59873d84c6b57109a3bf8d746894eb72bcb4f347c6162631372feb451bc51178

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed5734d42c0964d8e538379c41191bbf60a2bbe7b290414ce7eaa95a513a7776",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2016-09-01T17:59:16Z",
    "title_canon_sha256": "521393202de1c8a0b9729a6cd4a1c9bedc5109eff2e3a2b31e65517a8f581426"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01159",
    "kind": "arxiv",
    "version": 4
  }
}