Pith Number

pith:3LPNJZHA

pith:2018:3LPNJZHAXG5JHVJDH7DFPNETWI

not attested not anchored not stored refs pending

Arithmetic representations of real numbers in terms of self-similar sets

Kan Jiang, Lifeng Xi

arxiv:1808.09724 v1 · 2018-08-29 · 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{3LPNJZHAXG5JHVJDH7DFPNETWI}

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	2026-05-18T00:06:54.646361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daded4e4e0b9ba93d5233fc657b493b22bfcd1ba11749bf130449d07a95d91db

Aliases

arxiv: 1808.09724 · arxiv_version: 1808.09724v1 · doi: 10.48550/arxiv.1808.09724 · pith_short_12: 3LPNJZHAXG5J · pith_short_16: 3LPNJZHAXG5JHVJD · pith_short_8: 3LPNJZHA

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/3LPNJZHAXG5JHVJDH7DFPNETWI \
  | 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: daded4e4e0b9ba93d5233fc657b493b22bfcd1ba11749bf130449d07a95d91db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26b359dc8a3ebf063157c172d0f4e8ef8ecbb51c64d44304d81da5088c6a3b72",
    "cross_cats_sorted": [
      "math.MG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-08-29T11:02:18Z",
    "title_canon_sha256": "f97e5add9f6c278d87bdbeaf62b3e8fa1124581c7baba4a67071224df83965b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09724",
    "kind": "arxiv",
    "version": 1
  }
}