Pith Number

pith:3NXE3NRA

pith:2014:3NXE3NRAJAQD5ORFPZC44VEL24

not attested not anchored not stored refs pending

Integrals of $K$ and $E$ from Lattice Sums

I. J. Zucker, J. G. Wan

arxiv:1410.7081 v1 · 2014-10-26 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3NXE3NRAJAQD5ORFPZC44VEL24}

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	2026-05-18T02:39:18.036545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db6e4db62048203eba257e45ce548bd70659ff5b98f53ad987a663ab8d7d4169

Aliases

arxiv: 1410.7081 · arxiv_version: 1410.7081v1 · doi: 10.48550/arxiv.1410.7081 · pith_short_12: 3NXE3NRAJAQD · pith_short_16: 3NXE3NRAJAQD5ORF · pith_short_8: 3NXE3NRA

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/3NXE3NRAJAQD5ORFPZC44VEL24 \
  | 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: db6e4db62048203eba257e45ce548bd70659ff5b98f53ad987a663ab8d7d4169

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fa89a6dffc604ac38e2eb8b3a8c9498ef1a84a8e48e4f0371b316c0c7172a01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-26T20:53:20Z",
    "title_canon_sha256": "0297fde3b047041a858685ee318d1c6a2517fd8030e78a8c626dc8fc7436aa09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7081",
    "kind": "arxiv",
    "version": 1
  }
}