Pith Number

pith:2TIYMRQ3

pith:2019:2TIYMRQ3W4A2RMSU5VWZ55VXO3

not attested not anchored not stored refs pending

Linear independence results for certain sums of reciprocals of Fibonacci and Lucas numbers

Daniel Duverney, Yohei Tachiya, Yuta Suzuki

arxiv:1908.07290 v1 · 2019-08-20 · 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{2TIYMRQ3W4A2RMSU5VWZ55VXO3}

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	2026-07-04T23:58:32.845436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4d186461bb701a8b254ed6d9ef6b776f2c0a1f09caa997c1f6dae920a7e8eb6

Aliases

arxiv: 1908.07290 · arxiv_version: 1908.07290v1 · doi: 10.48550/arxiv.1908.07290 · pith_short_12: 2TIYMRQ3W4A2 · pith_short_16: 2TIYMRQ3W4A2RMSU · pith_short_8: 2TIYMRQ3

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/2TIYMRQ3W4A2RMSU5VWZ55VXO3 \
  | 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: d4d186461bb701a8b254ed6d9ef6b776f2c0a1f09caa997c1f6dae920a7e8eb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35f58db8243a6df3c5059b390a87a8f074e720acd300510ca75dc4a72514da49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-20T12:02:59Z",
    "title_canon_sha256": "a2e1ae3094cccb1d0c81642d9194925ece2fee9fe7c59fd6478c7f8d29935865"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07290",
    "kind": "arxiv",
    "version": 1
  }
}