Pith Number

pith:CIEMXCQZ

pith:2012:CIEMXCQZ6VPCYNLVZQ47ASBSFP

not attested not anchored not stored refs pending

On the fast Khintchine spectrum in continued fractions

Bao-Wei Wang, Fan Ai-Hua (LAMFA), Jun Wu, Lingmin Liao (LAMA)

arxiv:1208.1825 v1 · 2012-08-09 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIEMXCQZ6VPCYNLVZQ47ASBSFP}

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	2026-05-18T03:49:09.892449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1208cb8a19f55e2c3575cc39f048322bce5664a350621aa515975006af08c2fb

Aliases

arxiv: 1208.1825 · arxiv_version: 1208.1825v1 · doi: 10.48550/arxiv.1208.1825 · pith_short_12: CIEMXCQZ6VPC · pith_short_16: CIEMXCQZ6VPCYNLV · pith_short_8: CIEMXCQZ

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/CIEMXCQZ6VPCYNLVZQ47ASBSFP \
  | 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: 1208cb8a19f55e2c3575cc39f048322bce5664a350621aa515975006af08c2fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "665d510209da56da5c265fea9698fb73e854c6c0bda862570ec345684978409f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-08-09T07:04:11Z",
    "title_canon_sha256": "b527094e503619e34d59e38075f8c345a92f724bb2c88dd4d966c3e36fb20ff7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1825",
    "kind": "arxiv",
    "version": 1
  }
}