Pith Number

pith:APQZJIXM

pith:2019:APQZJIXMEAZON3VW4ZNLCZJWBR

not attested not anchored not stored refs pending

On the problem of Pillai with Fibonacci numbers, Padovan numbers, and Tribonacci numbers and powers of $3$

Mahadi Ddamulira

arxiv:1902.03491 v3 · 2019-02-09 · 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{APQZJIXMEAZON3VW4ZNLCZJWBR}

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	2026-05-17T23:44:42.502644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03e194a2ec2032e6eeb6e65ab165360c40bd337f9ebbd1ca65b5f68025827902

Aliases

arxiv: 1902.03491 · arxiv_version: 1902.03491v3 · doi: 10.48550/arxiv.1902.03491 · pith_short_12: APQZJIXMEAZO · pith_short_16: APQZJIXMEAZON3VW · pith_short_8: APQZJIXM

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/APQZJIXMEAZON3VW4ZNLCZJWBR \
  | 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: 03e194a2ec2032e6eeb6e65ab165360c40bd337f9ebbd1ca65b5f68025827902

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "176fd8d0da7db341d82cd8768be7e5fd8a712e3bc8fa4cc8adbae8dbfef06df5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-02-09T21:18:27Z",
    "title_canon_sha256": "f0349a610c7493e854bb9b8450117f3c98fc1475668e979a7ead67918d3efa76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.03491",
    "kind": "arxiv",
    "version": 3
  }
}