Pith Number

pith:N2PY5TD5

pith:2016:N2PY5TD5J5FRPMPJZCK2Q5M3GE

not attested not anchored not stored refs pending

Cancellations Amongst Kloosterman Sums

I. E. Shparlinski, T. P. Zhang

arxiv:1601.05123 v2 · 2016-01-19 · 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{N2PY5TD5J5FRPMPJZCK2Q5M3GE}

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	2026-05-18T01:22:11.097464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e9f8ecc7d4f4b17b1e9c895a8759b3123abb00dc2bd8d64fa055905b047787d

Aliases

arxiv: 1601.05123 · arxiv_version: 1601.05123v2 · doi: 10.48550/arxiv.1601.05123 · pith_short_12: N2PY5TD5J5FR · pith_short_16: N2PY5TD5J5FRPMPJ · pith_short_8: N2PY5TD5

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/N2PY5TD5J5FRPMPJZCK2Q5M3GE \
  | 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: 6e9f8ecc7d4f4b17b1e9c895a8759b3123abb00dc2bd8d64fa055905b047787d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84e81367c6c8e58395c647df195984e4bb613e2f688b3f8debe7f85f4ada1c27",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-19T22:35:36Z",
    "title_canon_sha256": "fb6e8f9c49245d7c86690ee7d5d21b24d5625a2717591eab786f8070cf0fef89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05123",
    "kind": "arxiv",
    "version": 2
  }
}