Pith Number

pith:V7PFQZFW

pith:2017:V7PFQZFWKMT5IMYHDSPBZQ7SR4

not attested not anchored not stored refs pending

The exceptional sets on the run-length function of beta-expansions

Bing Li, Lixuan Zheng, Min Wu

arxiv:1704.01317 v1 · 2017-04-05 · math.DS · 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{V7PFQZFWKMT5IMYHDSPBZQ7SR4}

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	2026-05-18T00:28:56.084784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afde5864b65327d433071c9e1cc3f28f09189043870ef93c91225235ff92ef6d

Aliases

arxiv: 1704.01317 · arxiv_version: 1704.01317v1 · doi: 10.48550/arxiv.1704.01317 · pith_short_12: V7PFQZFWKMT5 · pith_short_16: V7PFQZFWKMT5IMYH · pith_short_8: V7PFQZFW

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/V7PFQZFWKMT5IMYHDSPBZQ7SR4 \
  | 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: afde5864b65327d433071c9e1cc3f28f09189043870ef93c91225235ff92ef6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f418346681bfabf03688fefc6e32e11a7db9911ea64b4d48f8d03b48780233d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-04-05T09:19:38Z",
    "title_canon_sha256": "046abdf3fad1c9ce7e4b2defad44e2e6da92e8b30349591d9b798458c4b6ac0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01317",
    "kind": "arxiv",
    "version": 1
  }
}