Pith Number

pith:5ZHVRI7Y

pith:2016:5ZHVRI7YARVKSS3WQ3JTIBRDRI

not attested not anchored not stored refs pending

Closed-form evaluation of 2D static lattice sums

Piotr Drygas, Semyon Yakubovich, Vladimir Mityushev

arxiv:1606.04355 v1 · 2016-06-14 · 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{5ZHVRI7YARVKSS3WQ3JTIBRDRI}

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	2026-05-18T00:57:12.342583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee4f58a3f8046aa94b7686d33406238a215d12037ab136730ebb57b014eef993

Aliases

arxiv: 1606.04355 · arxiv_version: 1606.04355v1 · doi: 10.48550/arxiv.1606.04355 · pith_short_12: 5ZHVRI7YARVK · pith_short_16: 5ZHVRI7YARVKSS3W · pith_short_8: 5ZHVRI7Y

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/5ZHVRI7YARVKSS3WQ3JTIBRDRI \
  | 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: ee4f58a3f8046aa94b7686d33406238a215d12037ab136730ebb57b014eef993

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "993e30c9a008ab8527955f4c0cb394f017f057ad8aff930f1973b83064b01f01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-14T13:41:37Z",
    "title_canon_sha256": "da3ba64820fa637eacfcd7ad900137b196c369599eb2652fe406dd9fb9ffa3c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04355",
    "kind": "arxiv",
    "version": 1
  }
}