Pith Number

pith:2XKUGUPA

pith:2017:2XKUGUPABNHVYDP6F4SXQ7T6WR

not attested not anchored not stored refs pending

Open problems in geometry of continued fractions

Oleg Karpenkov

arxiv:1712.01450 v1 · 2017-12-05 · 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{2XKUGUPABNHVYDP6F4SXQ7T6WR}

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	2026-05-18T00:28:50.758013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5d54351e00b4f5c0dfe2f25787e7eb46b171e33e36cb565d4815c463f734322

Aliases

arxiv: 1712.01450 · arxiv_version: 1712.01450v1 · doi: 10.48550/arxiv.1712.01450 · pith_short_12: 2XKUGUPABNHV · pith_short_16: 2XKUGUPABNHVYDP6 · pith_short_8: 2XKUGUPA

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/2XKUGUPABNHVYDP6F4SXQ7T6WR \
  | 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: d5d54351e00b4f5c0dfe2f25787e7eb46b171e33e36cb565d4815c463f734322

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcdb8d416490d5ebf9a04fc088b6ee5ac879e0962e45b12316f40521cc581066",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-05T02:40:53Z",
    "title_canon_sha256": "1564f0f58aefbf74acae7686aad35851504d83d3e391a88c64bdc2013a58549a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01450",
    "kind": "arxiv",
    "version": 1
  }
}