Pith Number

pith:E37BLQJJ

pith:2015:E37BLQJJWWOBCP2AA4TLY2KH7Z

not attested not anchored not stored refs pending

Next order energy asymptotics for Riesz potentials on flat tori

Brian Z. Simanek, Douglas P. Hardin, Edward B. Saff, Yujian Su

arxiv:1511.01552 v1 · 2015-11-04 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E37BLQJJWWOBCP2AA4TLY2KH7Z}

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	2026-05-18T01:27:45.298990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26fe15c129b59c113f400726bc6947fe571e0fb1537d14db3da8e98a2ceb7d8c

Aliases

arxiv: 1511.01552 · arxiv_version: 1511.01552v1 · doi: 10.48550/arxiv.1511.01552 · pith_short_12: E37BLQJJWWOB · pith_short_16: E37BLQJJWWOBCP2A · pith_short_8: E37BLQJJ

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/E37BLQJJWWOBCP2AA4TLY2KH7Z \
  | 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: 26fe15c129b59c113f400726bc6947fe571e0fb1537d14db3da8e98a2ceb7d8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ac97dae7bdcd10eb19b370d16fe167159778d0d64bc2784c789a3f860914959",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-11-04T23:30:20Z",
    "title_canon_sha256": "23b7403c42bff906840e34fbc393fd4a56ce61c3af79da23c19e5677d91dff82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01552",
    "kind": "arxiv",
    "version": 1
  }
}