Pith Number

pith:B7FRPPYE

pith:2013:B7FRPPYEBXZGC7DNT6W42OFWT5

not attested not anchored not stored refs pending

Products of 2X2 matrices related to non autonomous Fibonacci difference equations

Henrique Oliveira, Rafael Lu\'is

arxiv:1308.1137 v3 · 2013-08-05 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B7FRPPYEBXZGC7DNT6W42OFWT5}

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	2026-05-18T03:13:09.626518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fcb17bf040df2617c6d9fadcd38b69f47e854cbaae64ea50e6a7ba9cc4cf193

Aliases

arxiv: 1308.1137 · arxiv_version: 1308.1137v3 · doi: 10.48550/arxiv.1308.1137 · pith_short_12: B7FRPPYEBXZG · pith_short_16: B7FRPPYEBXZGC7DN · pith_short_8: B7FRPPYE

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/B7FRPPYEBXZGC7DNT6W42OFWT5 \
  | 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: 0fcb17bf040df2617c6d9fadcd38b69f47e854cbaae64ea50e6a7ba9cc4cf193

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e001ad9aa96f1fd7933c6432083138b2550345c2fe130bdc4c6466478a05448",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-08-05T22:53:28Z",
    "title_canon_sha256": "6562988326a096f5a35a0632806168e42aa30916413ae190267b760b2dd82046"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1137",
    "kind": "arxiv",
    "version": 3
  }
}