Pith Number

pith:LCU453ZC

pith:2016:LCU453ZCW2Z37M72CJ3WDZUNIC

not attested not anchored not stored refs pending

Hereditarily Non Uniformly Perfect Sets

Hiroki Sumi, Rich Stankewitz, Toshiyuki Sugawa

arxiv:1609.07235 v2 · 2016-09-23 · math.CV · math.DS · math.GT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LCU453ZCW2Z37M72CJ3WDZUNIC}

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	2026-05-18T00:52:22.746222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58a9ceef22b6b3bfb3fa127761e68d4083ebc1a202067e323ad567a4dcb15460

Aliases

arxiv: 1609.07235 · arxiv_version: 1609.07235v2 · doi: 10.48550/arxiv.1609.07235 · pith_short_12: LCU453ZCW2Z3 · pith_short_16: LCU453ZCW2Z37M72 · pith_short_8: LCU453ZC

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/LCU453ZCW2Z37M72CJ3WDZUNIC \
  | 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: 58a9ceef22b6b3bfb3fa127761e68d4083ebc1a202067e323ad567a4dcb15460

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d02c64d6e699e3144aff43f7d8c6e471892a00e1fe06748f8ba4a73d75cd918",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-09-23T05:33:46Z",
    "title_canon_sha256": "af944b9875a603a4e6f9c35fa918553e5c67e47a9c3089277f98d3274b6671e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07235",
    "kind": "arxiv",
    "version": 2
  }
}