Pith Number

pith:Z2SIITWT

pith:2013:Z2SIITWT5OOHJVFHOTM5Z3H7KO

not attested not anchored not stored refs pending

Multiple Exponential and Character Sums with Monomials

Igor Shparlinski

arxiv:1309.0324 v1 · 2013-09-02 · 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{Z2SIITWT5OOHJVFHOTM5Z3H7KO}

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	2026-05-17T23:53:35.372812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cea4844ed3eb9c74d4a774d9dcecff53893e7950de1896b1157a8c23d4b2e525

Aliases

arxiv: 1309.0324 · arxiv_version: 1309.0324v1 · doi: 10.48550/arxiv.1309.0324 · pith_short_12: Z2SIITWT5OOH · pith_short_16: Z2SIITWT5OOHJVFH · pith_short_8: Z2SIITWT

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/Z2SIITWT5OOHJVFHOTM5Z3H7KO \
  | 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: cea4844ed3eb9c74d4a774d9dcecff53893e7950de1896b1157a8c23d4b2e525

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19daa9443947ab275f29b067ce5ab145362b6d6d83c842c31d111d7264527692",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-02T08:53:14Z",
    "title_canon_sha256": "6ffc2ae68d82da2466302aa4befef41c68970f78a25b2207e47e3215d04b2b97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0324",
    "kind": "arxiv",
    "version": 1
  }
}