Pith Number

pith:7WGLCD52

pith:2018:7WGLCD52G5YSLGPDAXPVUMY6SC

not attested not anchored not stored refs pending

Riesz energy on self-similar sets

Alexander Reznikov, Oleksandr Vlasiuk

arxiv:1810.01557 v1 · 2018-10-03 · math.CA · 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{7WGLCD52G5YSLGPDAXPVUMY6SC}

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	2026-05-18T00:04:11.726947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd8cb10fba37712599e305df5a331e90b8bd557d29af8d93d0ca49f9bf8e0dba

Aliases

arxiv: 1810.01557 · arxiv_version: 1810.01557v1 · doi: 10.48550/arxiv.1810.01557 · pith_short_12: 7WGLCD52G5YS · pith_short_16: 7WGLCD52G5YSLGPD · pith_short_8: 7WGLCD52

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/7WGLCD52G5YSLGPDAXPVUMY6SC \
  | 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: fd8cb10fba37712599e305df5a331e90b8bd557d29af8d93d0ca49f9bf8e0dba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cb35db73f4ea56b81c7b84fca7285fbc2b1e9fca8f93590951d16047e1eda91",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-10-03T01:09:47Z",
    "title_canon_sha256": "560936de88656a64a3bf9c06f09bb3429f6a4dd79135f0087f4a036cd8c79a6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01557",
    "kind": "arxiv",
    "version": 1
  }
}