Pith Number

pith:ZEIKDTML

pith:2013:ZEIKDTMLTO2INOIX5EYMEX3VEE

not attested not anchored not stored refs pending

On Gauss sums and the evaluation of Stechkin's constant

Igor E. Shparlinski, William D. Banks

arxiv:1310.5669 v2 · 2013-10-21 · 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{ZEIKDTMLTO2INOIX5EYMEX3VEE}

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	2026-05-18T03:09:21.652709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c910a1cd8b9bb486b917e930c25f75213928d7cb2294c002b4434d027fab2904

Aliases

arxiv: 1310.5669 · arxiv_version: 1310.5669v2 · doi: 10.48550/arxiv.1310.5669 · pith_short_12: ZEIKDTMLTO2I · pith_short_16: ZEIKDTMLTO2INOIX · pith_short_8: ZEIKDTML

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/ZEIKDTMLTO2INOIX5EYMEX3VEE \
  | 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: c910a1cd8b9bb486b917e930c25f75213928d7cb2294c002b4434d027fab2904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a5766cd7924c0bf51fa899b316a2233689b9daa43972c349b2d2af274c96b24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-21T18:37:13Z",
    "title_canon_sha256": "c3fcb611d08966593a47f811cb71c49cd2391c6c17b5144755950866b3d3b6fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5669",
    "kind": "arxiv",
    "version": 2
  }
}