Pith Number

pith:YEIXSAEV

pith:2018:YEIXSAEVCPAJ5AGZ5Z3A6FVCVJ

not attested not anchored not stored refs pending

Binomial exponential sums

Igor E. Shparlinski, Jose Felipe Voloch

arxiv:1811.00765 v1 · 2018-11-02 · 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{YEIXSAEVCPAJ5AGZ5Z3A6FVCVJ}

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	2026-05-18T00:01:42.236902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c11179009513c09e80d9ee760f16a2aa50ec019f92f1baa801d762de55756411

Aliases

arxiv: 1811.00765 · arxiv_version: 1811.00765v1 · doi: 10.48550/arxiv.1811.00765 · pith_short_12: YEIXSAEVCPAJ · pith_short_16: YEIXSAEVCPAJ5AGZ · pith_short_8: YEIXSAEV

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/YEIXSAEVCPAJ5AGZ5Z3A6FVCVJ \
  | 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: c11179009513c09e80d9ee760f16a2aa50ec019f92f1baa801d762de55756411

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43cbb764693741061df5b621d114db0e2e44bc5c4bfac84331e23a33a17c921e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-11-02T07:52:22Z",
    "title_canon_sha256": "1bb31cacbcab8f821fb2ebca24c9b72297c1413c18a7a0b0867e68be55e56219"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00765",
    "kind": "arxiv",
    "version": 1
  }
}