Pith Number

pith:7UXTWXOA

pith:2018:7UXTWXOAZAL653KB35BGZ2LL7N

not attested not anchored not stored refs pending

Igusa's conjecture for exponential sums: optimal estimates for non-rational singularities

Kien Huu Nguyen, Mircea Musta\c{t}\v{a}, Raf Cluckers

arxiv:1810.11340 v2 · 2018-10-26 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UXTWXOAZAL653KB35BGZ2LL7N}

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	2026-05-17T23:50:59.053454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd2f3b5dc0c817eeed41df426ce96bfb6b345596864ff947740fcfb618c52b5e

Aliases

arxiv: 1810.11340 · arxiv_version: 1810.11340v2 · doi: 10.48550/arxiv.1810.11340 · pith_short_12: 7UXTWXOAZAL6 · pith_short_16: 7UXTWXOAZAL653KB · pith_short_8: 7UXTWXOA

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/7UXTWXOAZAL653KB35BGZ2LL7N \
  | 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: fd2f3b5dc0c817eeed41df426ce96bfb6b345596864ff947740fcfb618c52b5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ed3fe13634cb7748432843ba1a4751dbfc6e61dbcf82539ae2ddbda65972a8c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-26T14:19:51Z",
    "title_canon_sha256": "782779fec8dbb75af0b29b17cb9db4741c1ac03b67a70925403116b493efb168"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11340",
    "kind": "arxiv",
    "version": 2
  }
}