Pith Number

pith:QRQQLBRV

pith:2014:QRQQLBRVPSFQGO6IBSR76DB4MO

not attested not anchored not stored refs pending

Bounds for p-adic exponential sums and log-canonical thresholds

Raf Cluckers, Willem Veys

arxiv:1406.0646 v1 · 2014-06-03 · 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{QRQQLBRVPSFQGO6IBSR76DB4MO}

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	2026-05-18T02:50:33.119108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84610586357c8b033bc80ca3ff0c3c63a6b78688e96b286a1b55a743daf8f2f3

Aliases

arxiv: 1406.0646 · arxiv_version: 1406.0646v1 · doi: 10.48550/arxiv.1406.0646 · pith_short_12: QRQQLBRVPSFQ · pith_short_16: QRQQLBRVPSFQGO6I · pith_short_8: QRQQLBRV

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/QRQQLBRVPSFQGO6IBSR76DB4MO \
  | 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: 84610586357c8b033bc80ca3ff0c3c63a6b78688e96b286a1b55a743daf8f2f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62e656f85f9300aee39773b69cd56c738ee175ed8a9cf6e4a8ff5565ef6454e8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-06-03T09:47:59Z",
    "title_canon_sha256": "f04a29d40fd161756c5ea525bc716a6f02441bd0899d8635cb40f4509c23e72f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0646",
    "kind": "arxiv",
    "version": 1
  }
}