Pith Number

pith:ZYKNWCOA

pith:2019:ZYKNWCOAF4PHGIRNFR64GBYVXI

not attested not anchored not stored refs pending

The asymptotic number of zeros of exponential sums in critical strips

J. Heittokangas, Z.-T. Wen

arxiv:1908.09491 v1 · 2019-08-26 · math.CV · 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{ZYKNWCOAF4PHGIRNFR64GBYVXI}

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	2026-07-04T23:59:40.661999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce14db09c02f1e73222d2c7dc30715ba0f54dfafc8ff3878d95075b9074c0b6f

Aliases

arxiv: 1908.09491 · arxiv_version: 1908.09491v1 · doi: 10.48550/arxiv.1908.09491 · pith_short_12: ZYKNWCOAF4PH · pith_short_16: ZYKNWCOAF4PHGIRN · pith_short_8: ZYKNWCOA

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/ZYKNWCOAF4PHGIRNFR64GBYVXI \
  | 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: ce14db09c02f1e73222d2c7dc30715ba0f54dfafc8ff3878d95075b9074c0b6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e77dda27c223cb425884468acf3635c47bfa6f41abaf0854e0c566a7c39055cd",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-08-26T06:25:39Z",
    "title_canon_sha256": "2b8f2379ea70f6a0683c659befe584029597b9c52a4833fdcb9888dba1451f7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09491",
    "kind": "arxiv",
    "version": 1
  }
}