Pith Number

pith:HRV6SXEZ

pith:2017:HRV6SXEZVJ2WKHIAHQ2N5TM4C7

not attested not anchored not stored refs pending

Proof of Cluckers-Veys's conjecture on exponential sums for polynomials with log-canonical threshold at most a half

Kien Huu Nguyen, Saskia Chambille

arxiv:1709.02682 v1 · 2017-09-08 · 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{HRV6SXEZVJ2WKHIAHQ2N5TM4C7}

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	2026-05-18T00:35:45.061224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c6be95c99aa75651d003c34decd9c17fbd0ad3c6b3dd8f7c4e9caccd7cb4386

Aliases

arxiv: 1709.02682 · arxiv_version: 1709.02682v1 · doi: 10.48550/arxiv.1709.02682 · pith_short_12: HRV6SXEZVJ2W · pith_short_16: HRV6SXEZVJ2WKHIA · pith_short_8: HRV6SXEZ

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/HRV6SXEZVJ2WKHIAHQ2N5TM4C7 \
  | 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: 3c6be95c99aa75651d003c34decd9c17fbd0ad3c6b3dd8f7c4e9caccd7cb4386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b90c6ead5ca39370facbd8c6a4b331159ea31955e31b3fb8ee583223aa8827f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-08T13:06:06Z",
    "title_canon_sha256": "9eae268fc7b82d0d399a53e5ce3b4838f8a8cd88e1c0b98ba5a54b062e403ae7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02682",
    "kind": "arxiv",
    "version": 1
  }
}