Pith Number

pith:SI5SPQUX

pith:2016:SI5SPQUXWZKZNS4W5PDGK37IU3

not attested not anchored not stored refs pending

The denominators of convergents for continued fractions

Bing Li, Lulu Fang, Min Wu

arxiv:1608.01246 v1 · 2016-08-03 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SI5SPQUXWZKZNS4W5PDGK37IU3}

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	2026-05-18T01:09:56.080581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

923b27c297b65596cb96ebc6656fe8a6d86ef02b339e5a38fdbe13d8d0ce9600

Aliases

arxiv: 1608.01246 · arxiv_version: 1608.01246v1 · doi: 10.48550/arxiv.1608.01246 · pith_short_12: SI5SPQUXWZKZ · pith_short_16: SI5SPQUXWZKZNS4W · pith_short_8: SI5SPQUX

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/SI5SPQUXWZKZNS4W5PDGK37IU3 \
  | 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: 923b27c297b65596cb96ebc6656fe8a6d86ef02b339e5a38fdbe13d8d0ce9600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8596b8fe179f9a342f153f2888a5481f16b544b99906e69979a6dcb3b6fd5e98",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-03T16:30:59Z",
    "title_canon_sha256": "f52721abdc66a1cd39e05784d78757c5cf96453ebd058d04113cac45a3eca37a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01246",
    "kind": "arxiv",
    "version": 1
  }
}