Pith Number

pith:LYKXA5AV

pith:2014:LYKXA5AVVUQ3CATMLEW54G3ZTT

not attested not anchored not stored refs pending

The Kusuoka measure and the energy Laplacian on level-$k$ Sierpi\'nski gaskets

Anders \"Oberg, Konstantinos Tsougkas

arxiv:1411.2371 v3 · 2014-11-10 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LYKXA5AVVUQ3CATMLEW54G3ZTT}

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	2026-05-18T00:32:21.805166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e15707415ad21b1026c592dde1b799cd7fc919a5f7b87271230d95676f6f1dc

Aliases

arxiv: 1411.2371 · arxiv_version: 1411.2371v3 · doi: 10.48550/arxiv.1411.2371 · pith_short_12: LYKXA5AVVUQ3 · pith_short_16: LYKXA5AVVUQ3CATM · pith_short_8: LYKXA5AV

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/LYKXA5AVVUQ3CATMLEW54G3ZTT \
  | 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: 5e15707415ad21b1026c592dde1b799cd7fc919a5f7b87271230d95676f6f1dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36afbca42f12aed30c4aff5cc8ec952b4e7af00703c78a07977dfd66008ade7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-10T10:29:15Z",
    "title_canon_sha256": "a1fd4d2060f076dea95001de467ea5ca421850ada5ad94727dbae24d654b0334"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2371",
    "kind": "arxiv",
    "version": 3
  }
}