Pith Number

pith:R5SHZXVD

pith:2025:R5SHZXVDUMGIR3TW7ZGLIZIZDM

not attested not anchored not stored refs pending

Construction of self-similar energy forms and singularity of Sobolev spaces on Laakso-type fractal spaces

Riku Anttila, Ryosuke Shimizu, Sylvester Eriksson-Bique

arxiv:2503.13258 v1 · 2025-03-17 · math.MG · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R5SHZXVDUMGIR3TW7ZGLIZIZDM}

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.

Cited by

4 papers in Pith

Sobolev spaces on snowtrees

Construction of $p$-energy measures associated with strongly local $p$-energy forms

Iterated Graph Systems (I): random walks and diffusion limits

Cartesian products of Sierpi\'nski carpets do not attain their conformal dimension

Receipt and verification

First computed	2026-07-05T10:32:56.975790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f647cdea3a30c88ee76fe4cb465191b21992d6d7073f8a25ccb3f9fd351b106

Aliases

arxiv: 2503.13258 · arxiv_version: 2503.13258v1 · doi: 10.48550/arxiv.2503.13258 · pith_short_12: R5SHZXVDUMGI · pith_short_16: R5SHZXVDUMGIR3TW · pith_short_8: R5SHZXVD

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/R5SHZXVDUMGIR3TW7ZGLIZIZDM \
  | 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: 8f647cdea3a30c88ee76fe4cb465191b21992d6d7073f8a25ccb3f9fd351b106

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3dfd2cef440a43c103f3b230e283468b919af6529e98005357aa30c2669f9cf",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-03-17T15:14:36Z",
    "title_canon_sha256": "61cfee5d28e4b567ceab87ad7cd0ed48b7a7e560f2f33f6739de20553b0459f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.13258",
    "kind": "arxiv",
    "version": 1
  }
}