Pith Number

pith:5BNFEY72

pith:2016:5BNFEY72BCKMBWMYQQSJVPRC3B

not attested not anchored not stored refs pending

Optimal discrete measures for Riesz potentials

A. Reznikov, D. P. Hardin, E. B. Saff, S. V. Borodachov

arxiv:1606.04128 v2 · 2016-06-13 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5BNFEY72BCKMBWMYQQSJVPRC3B}

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	2026-05-18T00:49:46.965407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e85a5263fa0894c0d99884249abe22d84eef7b3f7c235ba9cc288078165b0cbf

Aliases

arxiv: 1606.04128 · arxiv_version: 1606.04128v2 · doi: 10.48550/arxiv.1606.04128 · pith_short_12: 5BNFEY72BCKM · pith_short_16: 5BNFEY72BCKMBWMY · pith_short_8: 5BNFEY72

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/5BNFEY72BCKMBWMYQQSJVPRC3B \
  | 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: e85a5263fa0894c0d99884249abe22d84eef7b3f7c235ba9cc288078165b0cbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "307b0edb6f57166c7e292dbf4c7e6c068c84a834c696ab9548db761b65958f5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-13T20:33:40Z",
    "title_canon_sha256": "5a392ca07725335c314da20c355579550ab51ba6dd34da80e0e2e6328293e900"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04128",
    "kind": "arxiv",
    "version": 2
  }
}