Pith Number

pith:WK74QJOZ

pith:2012:WK74QJOZTJNVHKA3ABBB45KQEU

not attested not anchored not stored refs pending

Lipschitz equivalence of self-similar sets with touching structures

Huo-Jun Ruan, Li-Feng Xi, Yang Wang

arxiv:1207.6674 v1 · 2012-07-28 · math.MG · math.DS · 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{WK74QJOZTJNVHKA3ABBB45KQEU}

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	2026-05-18T03:49:57.557512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2bfc825d99a5b53a81b00421e755025358a0ed990312b2268dc00970485d0cf

Aliases

arxiv: 1207.6674 · arxiv_version: 1207.6674v1 · doi: 10.48550/arxiv.1207.6674 · pith_short_12: WK74QJOZTJNV · pith_short_16: WK74QJOZTJNVHKA3 · pith_short_8: WK74QJOZ

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/WK74QJOZTJNVHKA3ABBB45KQEU \
  | 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: b2bfc825d99a5b53a81b00421e755025358a0ed990312b2268dc00970485d0cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "771e616b355298c85f098820cef1e5680fa8fd8e5845b125f19444794bb5fc87",
    "cross_cats_sorted": [
      "math.DS",
      "math.GN",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-07-28T00:40:41Z",
    "title_canon_sha256": "62d67480771d3644ca7f3737fa9e5d785de24517adcd1507675fbfe38e9e79f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6674",
    "kind": "arxiv",
    "version": 1
  }
}