Pith Number

pith:OJHGDXVQ

pith:2026:OJHGDXVQXZHBRYQND5NRSKMDIP

not attested not anchored not stored refs pending

A note on a conjecture of Ng

Andrew Pearce-Crump

arxiv:2606.12376 v1 · 2026-06-10 · 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{OJHGDXVQXZHBRYQND5NRSKMDIP}

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.

Cited by

1 paper in Pith

Negative discrete second moments of Dirichlet $L$-functions

Receipt and verification

First computed	2026-06-11T02:09:49.078225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

724e61deb0be4e18e20d1f5b19298343fb55eebefee0649f8a10dacd5ef3429a

Aliases

arxiv: 2606.12376 · arxiv_version: 2606.12376v1 · doi: 10.48550/arxiv.2606.12376 · pith_short_12: OJHGDXVQXZHB · pith_short_16: OJHGDXVQXZHBRYQN · pith_short_8: OJHGDXVQ

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/OJHGDXVQXZHBRYQND5NRSKMDIP \
  | 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: 724e61deb0be4e18e20d1f5b19298343fb55eebefee0649f8a10dacd5ef3429a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "070a1f96885563ca2db23a70d97607a4d88f643911963ee97f9b153607e5fea6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-10T17:40:56Z",
    "title_canon_sha256": "27765160b2f5201834d3070d821a4690855f1a7afc3305b87025a2bd9bce46b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12376",
    "kind": "arxiv",
    "version": 1
  }
}