Pith Number

pith:GSNEEKIU

pith:2017:GSNEEKIUYFYB4T4D75PET2QOJ5

not attested not anchored not stored refs pending

On periodicity of geodesic continued fractions

Hohto Bekki

arxiv:1712.08346 v1 · 2017-12-22 · 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{GSNEEKIUYFYB4T4D75PET2QOJ5}

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	2026-05-18T00:27:23.741742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

349a422914c1701e4f83ff5e49ea0e4f5aaa39beceea902196d665fd31d7d6dd

Aliases

arxiv: 1712.08346 · arxiv_version: 1712.08346v1 · doi: 10.48550/arxiv.1712.08346 · pith_short_12: GSNEEKIUYFYB · pith_short_16: GSNEEKIUYFYB4T4D · pith_short_8: GSNEEKIU

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/GSNEEKIUYFYB4T4D75PET2QOJ5 \
  | 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: 349a422914c1701e4f83ff5e49ea0e4f5aaa39beceea902196d665fd31d7d6dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb942e6172409de769568a2b656e66a4e15099cabaf689a3b8ee1aa589cf8b8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-22T08:48:21Z",
    "title_canon_sha256": "4e2f21561a9ecf2b44287032dd022d9d68c8d0f827975ef6a34f608ab4eb6bb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08346",
    "kind": "arxiv",
    "version": 1
  }
}