Pith Number

pith:V7QVQUL4

pith:2017:V7QVQUL4JNYSGHNFZNFSG4A2NG

not attested not anchored not stored refs pending

Sums of two homogeneous Cantor sets

Yuki Takahashi

arxiv:1710.10066 v3 · 2017-10-27 · 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{V7QVQUL4JNYSGHNFZNFSG4A2NG}

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	2026-05-18T00:14:40.848597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afe158517c4b71231da5cb4b23701a69a2ebb0bec490d9b4ae8141733bbc79af

Aliases

arxiv: 1710.10066 · arxiv_version: 1710.10066v3 · doi: 10.48550/arxiv.1710.10066 · pith_short_12: V7QVQUL4JNYS · pith_short_16: V7QVQUL4JNYSGHNF · pith_short_8: V7QVQUL4

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/V7QVQUL4JNYSGHNFZNFSG4A2NG \
  | 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: afe158517c4b71231da5cb4b23701a69a2ebb0bec490d9b4ae8141733bbc79af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b070b45c8195d80c7f4029b8c413cf415101584a3f2c1561b57902fd235c87c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-10-27T10:41:46Z",
    "title_canon_sha256": "e4add346e44ed55e43a4fa1b0ee8d0e856b5695c6cdc9b3326bda69f09be8627"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10066",
    "kind": "arxiv",
    "version": 3
  }
}