Pith Number

pith:2XNELVMX

pith:1999:2XNELVMXUW7YPIUJF7U3SLVWQE

not attested not anchored not stored refs pending

Zeros of Fekete polynomials

Andrew Granville (University of Georgia), Bjorn Poonen (UC Berkeley), J. Brian Conrey (AIM), K. Soundararajan (AIM, Princeton University)

arxiv:math/9906214 v1 · 1999-06-16 · 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{2XNELVMXUW7YPIUJF7U3SLVWQE}

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	2026-05-18T01:05:32.882346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5da45d597a5bf87a2892fe9b92eb681308806f7317a08f75c8a1817e3f3c816

Aliases

arxiv: math/9906214 · arxiv_version: math/9906214v1 · doi: 10.48550/arxiv.math/9906214 · pith_short_12: 2XNELVMXUW7Y · pith_short_16: 2XNELVMXUW7YPIUJ · pith_short_8: 2XNELVMX

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/2XNELVMXUW7YPIUJF7U3SLVWQE \
  | 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: d5da45d597a5bf87a2892fe9b92eb681308806f7317a08f75c8a1817e3f3c816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41921da6d686717f03c1aa725f74d36ada6bbb99f73fd8d1b7c3f839e7c6ae89",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "1999-06-16T00:00:00Z",
    "title_canon_sha256": "be255e62cd9de3839dd57417ceae521176975bcf83c37765fe9fc1ff7f72ff38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9906214",
    "kind": "arxiv",
    "version": 1
  }
}