Pith Number

pith:WZJU2G5B

pith:2016:WZJU2G5BGBPDG2U32DC2DOXYWM

not attested not anchored not stored refs pending

Differencing Methods for Korobov-type exponential sums

Joseph Vandehey

arxiv:1606.07911 v1 · 2016-06-25 · 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{WZJU2G5BGBPDG2U32DC2DOXYWM}

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	2026-05-18T01:11:54.179141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6534d1ba1305e336a9bd0c5a1baf8b30e24ebeb7849abbfbc3e13a006b6c8a3

Aliases

arxiv: 1606.07911 · arxiv_version: 1606.07911v1 · doi: 10.48550/arxiv.1606.07911 · pith_short_12: WZJU2G5BGBPD · pith_short_16: WZJU2G5BGBPDG2U3 · pith_short_8: WZJU2G5B

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/WZJU2G5BGBPDG2U32DC2DOXYWM \
  | 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: b6534d1ba1305e336a9bd0c5a1baf8b30e24ebeb7849abbfbc3e13a006b6c8a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7234babb1403806b6b64cabd5269047d199a1d799d68740e2af2ff2a9bc52969",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-25T13:17:02Z",
    "title_canon_sha256": "53347848be569bde44fda02527075e4b0d67b3c70b3faa2555da2264d273d3f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07911",
    "kind": "arxiv",
    "version": 1
  }
}