Pith Number

pith:NV6AFI6V

pith:2018:NV6AFI6VSTHEMUL4Q6AZUVYANZ

not attested not anchored not stored refs pending

Multiple representations of real numbers on self-similar sets with overlaps

Jiali Zhu, Kan Jiang, Li Tian, Xiaomin Ren

arxiv:1810.04930 v2 · 2018-10-11 · math.DS · math.MG · 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{NV6AFI6VSTHEMUL4Q6AZUVYANZ}

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	2026-05-17T23:56:05.141623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d7c02a3d594ce46517c87819a57006e4d4ca9a79997be51727de263d862b3f1

Aliases

arxiv: 1810.04930 · arxiv_version: 1810.04930v2 · doi: 10.48550/arxiv.1810.04930 · pith_short_12: NV6AFI6VSTHE · pith_short_16: NV6AFI6VSTHEMUL4 · pith_short_8: NV6AFI6V

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/NV6AFI6VSTHEMUL4Q6AZUVYANZ \
  | 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: 6d7c02a3d594ce46517c87819a57006e4d4ca9a79997be51727de263d862b3f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "465dc625ae99108d2a6dd24c760c0ee4f4427a5ba6f0257868f869c9558b03af",
    "cross_cats_sorted": [
      "math.MG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-10-11T09:43:06Z",
    "title_canon_sha256": "e45dda0ab11256864c93e5ceeea23c634a54cf751989af208c5ca8e0f633daab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04930",
    "kind": "arxiv",
    "version": 2
  }
}