Pith Number

pith:XDOEXNJW

pith:2019:XDOEXNJW2CX3ECHSEDNLP5KTRX

not attested not anchored not stored refs pending

Univoque bases of real numbers: local dimension, Devil's staircase and isolated points

Derong Kong, Fan Lv, Jiayi Xu, Wenxia Li, Zhiqiang Wang

arxiv:1911.05910 v2 · 2019-11-14 · math.NT · math.CO · 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{XDOEXNJW2CX3ECHSEDNLP5KTRX}

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	2026-07-05T01:10:12.739008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8dc4bb536d0afb208f220dab7f5538decb5dc31fb8d765ce456b9cd7864b392

Aliases

arxiv: 1911.05910 · arxiv_version: 1911.05910v2 · doi: 10.48550/arxiv.1911.05910 · pith_short_12: XDOEXNJW2CX3 · pith_short_16: XDOEXNJW2CX3ECHS · pith_short_8: XDOEXNJW

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/XDOEXNJW2CX3ECHSEDNLP5KTRX \
  | 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: b8dc4bb536d0afb208f220dab7f5538decb5dc31fb8d765ce456b9cd7864b392

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "166b1dac1074bc08bfb2d234b13d56361dbb50b2a0de3ed7ad31ed6d0bc828c0",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-11-14T02:56:40Z",
    "title_canon_sha256": "8434243553704ec959952277d8b5fbc4494694c414d9eccaffe2635a0cc6561f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.05910",
    "kind": "arxiv",
    "version": 2
  }
}