Pith Number

pith:J5BCFUWM

pith:2015:J5BCFUWMWFZFAKGIQR3HMEJYI3

not attested not anchored not stored refs pending

The Laplace operator on the Sierpinski gasket with Robin boundary conditions

Brigitte E. Breckner, Ralph Chill

arxiv:1507.06209 v1 · 2015-07-22 · math.FA · 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{J5BCFUWMWFZFAKGIQR3HMEJYI3}

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	2026-05-18T01:36:26.370709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f4222d2ccb1725028c8847676113846c0685d0865ef2817af54159c781f2fe3

Aliases

arxiv: 1507.06209 · arxiv_version: 1507.06209v1 · doi: 10.48550/arxiv.1507.06209 · pith_short_12: J5BCFUWMWFZF · pith_short_16: J5BCFUWMWFZFAKGI · pith_short_8: J5BCFUWM

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/J5BCFUWMWFZFAKGIQR3HMEJYI3 \
  | 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: 4f4222d2ccb1725028c8847676113846c0685d0865ef2817af54159c781f2fe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b3e81410bb8f9f94bf859396a1fff1fb9e1e3d7f796d48e0309d97ac3154592",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-07-22T14:35:02Z",
    "title_canon_sha256": "36d30ccc148d144021fa53a71becdf2f525bb9503d04f6a151c65237eb90cee3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06209",
    "kind": "arxiv",
    "version": 1
  }
}