Pith Number

pith:MPE2DJLZ

pith:2009:MPE2DJLZNVICD2A5FUFLN7M4AR

not attested not anchored not stored refs pending

Lipschitz equivalence of subsets of self-conformal sets

Marta Llorente, Pertti Mattila

arxiv:0909.1928 v1 · 2009-09-10 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPE2DJLZNVICD2A5FUFLN7M4AR}

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	2026-05-18T02:11:57.508872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63c9a1a5796d5021e81d2d0ab6fd9c047f51ace1d7ba8731563606896c3c932e

Aliases

arxiv: 0909.1928 · arxiv_version: 0909.1928v1 · doi: 10.48550/arxiv.0909.1928 · pith_short_12: MPE2DJLZNVIC · pith_short_16: MPE2DJLZNVICD2A5 · pith_short_8: MPE2DJLZ

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/MPE2DJLZNVICD2A5FUFLN7M4AR \
  | 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: 63c9a1a5796d5021e81d2d0ab6fd9c047f51ace1d7ba8731563606896c3c932e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25e7f76d714b5ff747a095772dc24201e4470c8a5d50794ad5b0c5e696a93c42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2009-09-10T11:38:37Z",
    "title_canon_sha256": "4a38fdfe7e5c8b6b32fc7aa36550e736018194c78cc35cbcbcbe6f703daa504f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1928",
    "kind": "arxiv",
    "version": 1
  }
}