Pith Number

pith:ZP2ZDKTX

pith:2012:ZP2ZDKTXD6IUSLSLMKHRIN4SR6

not attested not anchored not stored refs pending

Dimension results for inhomogeneous Moran set constructions

Mark Holland, Yiwei Zhang

arxiv:1211.0927 v2 · 2012-11-05 · 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{ZP2ZDKTXD6IUSLSLMKHRIN4SR6}

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	2026-05-18T03:41:00.830090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbf591aa771f91492e4b628f1437928f82de1bf74d8e4ea64dfecbcd04afc912

Aliases

arxiv: 1211.0927 · arxiv_version: 1211.0927v2 · doi: 10.48550/arxiv.1211.0927 · pith_short_12: ZP2ZDKTXD6IU · pith_short_16: ZP2ZDKTXD6IUSLSL · pith_short_8: ZP2ZDKTX

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/ZP2ZDKTXD6IUSLSLMKHRIN4SR6 \
  | 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: cbf591aa771f91492e4b628f1437928f82de1bf74d8e4ea64dfecbcd04afc912

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b4e5ee418b4214395583a0871a69dad97962f4e54f8babcbcd88a7d3e08069f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-11-05T17:02:10Z",
    "title_canon_sha256": "4468c7bbf10e8dae1a1f4410d58af4311a1ca6b771c81acd3d8ca906be7b7467"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0927",
    "kind": "arxiv",
    "version": 2
  }
}