Pith Number

pith:VV4SLBAW

pith:2012:VV4SLBAWB5JTSDTUCBCIF4MRQN

not attested not anchored not stored refs pending

Connectedness of planar self-affine sets associated with non-collinear digit sets

Jun Jason Luo, King-Shun Leung

arxiv:1208.3759 v1 · 2012-08-18 · math.GN · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VV4SLBAWB5JTSDTUCBCIF4MRQN}

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	2026-05-18T03:48:26.330267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad792584160f53390e74104482f191837be9817db4fcc4185f8eed6d70aad267

Aliases

arxiv: 1208.3759 · arxiv_version: 1208.3759v1 · doi: 10.48550/arxiv.1208.3759 · pith_short_12: VV4SLBAWB5JT · pith_short_16: VV4SLBAWB5JTSDTU · pith_short_8: VV4SLBAW

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/VV4SLBAWB5JTSDTUCBCIF4MRQN \
  | 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: ad792584160f53390e74104482f191837be9817db4fcc4185f8eed6d70aad267

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39967bb3af7d5e14209a9dadb26aed865f1472d414c453509229eedf08f63154",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-08-18T16:08:18Z",
    "title_canon_sha256": "a6f7976be06699121a5439075e0e6d058553cfa6bc4914e56a003f89835e69d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3759",
    "kind": "arxiv",
    "version": 1
  }
}