Pith Number

pith:WVSRSDLP

pith:2018:WVSRSDLPD44ULOINGMPDPWSQAP

not attested not anchored not stored refs pending

New bounds for exponential sums with a non-degenerate phase polynomial

Kien Huu Nguyen, Wouter Castryck

arxiv:1801.02910 v1 · 2018-01-09 · 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{WVSRSDLPD44ULOINGMPDPWSQAP}

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	2026-05-18T00:26:22.078737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b565190d6f1f3945b90d331e37da5003d2c1ea21291cb8f74239254292ab3346

Aliases

arxiv: 1801.02910 · arxiv_version: 1801.02910v1 · doi: 10.48550/arxiv.1801.02910 · pith_short_12: WVSRSDLPD44U · pith_short_16: WVSRSDLPD44ULOIN · pith_short_8: WVSRSDLP

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/WVSRSDLPD44ULOINGMPDPWSQAP \
  | 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: b565190d6f1f3945b90d331e37da5003d2c1ea21291cb8f74239254292ab3346

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da1ce74328f9be539dc44446b92aa70cd3213ccfdf211ed045aea187b7d2878f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-09T12:21:14Z",
    "title_canon_sha256": "cae4f348ad972093c0500c783a025e1b0201969d34cf87a3d399c05a5aecb8b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02910",
    "kind": "arxiv",
    "version": 1
  }
}