Pith Number

pith:UY54TCUZ

pith:2016:UY54TCUZXHCSQ7E3UDEZ3PP4OA

not attested not anchored not stored refs pending

Regularized Laplacian determinants of self-similar fractals

Alexander Teplyaev, Joe P. Chen, Konstantinos Tsougkas

arxiv:1610.10062 v4 · 2016-10-31 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UY54TCUZXHCSQ7E3UDEZ3PP4OA}

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	2026-05-18T00:16:56.737532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a63bc98a99b9c5287c9ba0c99dbdfc701ed694e4be0361f55cf1497bbf7b03d1

Aliases

arxiv: 1610.10062 · arxiv_version: 1610.10062v4 · doi: 10.48550/arxiv.1610.10062 · pith_short_12: UY54TCUZXHCS · pith_short_16: UY54TCUZXHCSQ7E3 · pith_short_8: UY54TCUZ

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/UY54TCUZXHCSQ7E3UDEZ3PP4OA \
  | 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: a63bc98a99b9c5287c9ba0c99dbdfc701ed694e4be0361f55cf1497bbf7b03d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3909d09320a9845a4b730431a03d8ab18676a18750e30fa214c09e9a80791d68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-10-31T18:50:53Z",
    "title_canon_sha256": "fd3ad41a4ac5f90253483eca09a137f0e754b10b7b4c34975334671af13df4fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.10062",
    "kind": "arxiv",
    "version": 4
  }
}