Pith Number

pith:GNM2GU6J

pith:2013:GNM2GU6JHVILAXFRFFFHC6LAEX

not attested not anchored not stored refs pending

Range-Renewal Structure in Continued Fractions

Jian-Sheng Xie, Jun Wu

arxiv:1305.2088 v1 · 2013-05-09 · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNM2GU6JHVILAXFRFFFHC6LAEX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:19:03.845540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3359a353c93d50b05cb1294a71796025d83c750d07e1510407b6df4c6ae8ee46

Aliases

arxiv: 1305.2088 · arxiv_version: 1305.2088v1 · doi: 10.48550/arxiv.1305.2088 · pith_short_12: GNM2GU6JHVIL · pith_short_16: GNM2GU6JHVILAXFR · pith_short_8: GNM2GU6J

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/GNM2GU6JHVILAXFRFFFHC6LAEX \
  | 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: 3359a353c93d50b05cb1294a71796025d83c750d07e1510407b6df4c6ae8ee46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32442e7554b3042e8e5b578d6b12a40de9f32a690ad1c19e65b94f24f94e2214",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-09T13:39:20Z",
    "title_canon_sha256": "ce4a1fb2c9aa4cb0dab06a47499d2f420215fd851092795b29b20ea2e6ee6b85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2088",
    "kind": "arxiv",
    "version": 1
  }
}