Pith Number

pith:2F6QXXYZ

pith:2026:2F6QXXYZUOU4K5VWA2SAWO6KOY

not attested not anchored not stored refs pending

Averages of diagonal Elliott-Halberstam problem twisted by M\"obius function with Sobolev and H\"older-Zygmund weights

Marco Cantarini

arxiv:2607.09110 v1 · 2026-07-10 · 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{2F6QXXYZUOU4K5VWA2SAWO6KOY}

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	2026-07-13T01:18:42.899109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d17d0bdf19a3a9c576b606a40b3bca7621f83aeb754be7e57e575d499aa01d47

Aliases

arxiv: 2607.09110 · arxiv_version: 2607.09110v1 · doi: 10.48550/arxiv.2607.09110 · pith_short_12: 2F6QXXYZUOU4 · pith_short_16: 2F6QXXYZUOU4K5VW · pith_short_8: 2F6QXXYZ

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/2F6QXXYZUOU4K5VWA2SAWO6KOY \
  | 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: d17d0bdf19a3a9c576b606a40b3bca7621f83aeb754be7e57e575d499aa01d47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1de4c05867b3d0c63c02d27fcffe1ffa03c711830337a8f67da1a358b99288f9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-10T05:47:47Z",
    "title_canon_sha256": "39c511e604d62d3b11e7201c7bc7c83a2ee84f21e7cf1508d0a8eba36d876435"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09110",
    "kind": "arxiv",
    "version": 1
  }
}