Pith Number

pith:SEUYWIJ2

pith:2009:SEUYWIJ2F2LGIOU2DLXD27MMVO

not attested not anchored not stored refs pending

Fibonacci numbers modulo cubes of primes

Zhi-Wei Sun

arxiv:0911.3060 v9 · 2009-11-16 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SEUYWIJ2F2LGIOU2DLXD27MMVO}

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	2026-05-18T03:08:25.442165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91298b213a2e96643a9a1aee3d7d8cab9bcad0141b8df9d61ddd90e84c932aad

Aliases

arxiv: 0911.3060 · arxiv_version: 0911.3060v9 · doi: 10.48550/arxiv.0911.3060 · pith_short_12: SEUYWIJ2F2LG · pith_short_16: SEUYWIJ2F2LGIOU2 · pith_short_8: SEUYWIJ2

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/SEUYWIJ2F2LGIOU2DLXD27MMVO \
  | 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: 91298b213a2e96643a9a1aee3d7d8cab9bcad0141b8df9d61ddd90e84c932aad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b869e56e7c495db5fa756bce2f4e7d7fe5576997c8e20ef1b25fafa7e82d933e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-11-16T19:06:17Z",
    "title_canon_sha256": "70ca84b6fb016a356eac06b684b9bc8f647c8892b118f72f62298a85e87c2ed3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3060",
    "kind": "arxiv",
    "version": 9
  }
}