Pith Number

pith:TJ6QMLOM

pith:2017:TJ6QMLOMPCULYIVN3HXFXCYTXM

not attested not anchored not stored refs pending

On a problem of Pillai with Fibonacci numbers and powers of 2

Florian Luca, Mahadi Ddamulira, Mihaja Rakotomalala

arxiv:1707.07229 v1 · 2017-07-22 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TJ6QMLOMPCULYIVN3HXFXCYTXM}

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	2026-05-18T00:25:11.588138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a7d062dcc78a8bc22add9ee5b8b13bb20dd864d14ce3191072e8bd85ca91009

Aliases

arxiv: 1707.07229 · arxiv_version: 1707.07229v1 · doi: 10.48550/arxiv.1707.07229 · pith_short_12: TJ6QMLOMPCUL · pith_short_16: TJ6QMLOMPCULYIVN · pith_short_8: TJ6QMLOM

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/TJ6QMLOMPCULYIVN3HXFXCYTXM \
  | 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: 9a7d062dcc78a8bc22add9ee5b8b13bb20dd864d14ce3191072e8bd85ca91009

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90ded4b9b24ce0084924163d39991298043cd1b6db597f202e6a08098d41f075",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-22T22:55:54Z",
    "title_canon_sha256": "39c6506be4eb9f9eed831367c754575dd306c8300e483afc6a1dcf917e86a0d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07229",
    "kind": "arxiv",
    "version": 1
  }
}