Pith Number

pith:7572FH25

pith:2024:7572FH25ZTI66ZOPDYXX4CMDXT

not attested not anchored not stored refs pending

Correlations of multiplicative functions with their partial sums

Gordon Chavez

arxiv:2409.02106 v10 · 2024-09-03 · 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{7572FH25ZTI66ZOPDYXX4CMDXT}

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	2026-05-17T23:39:01.746338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff7fa29f5dccd1ef65cf1e2f7e0983bce0a8da45bd98ab7abbb979c4654e570c

Aliases

arxiv: 2409.02106 · arxiv_version: 2409.02106v10 · doi: 10.48550/arxiv.2409.02106 · pith_short_12: 7572FH25ZTI6 · pith_short_16: 7572FH25ZTI66ZOP · pith_short_8: 7572FH25

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/7572FH25ZTI66ZOPDYXX4CMDXT \
  | 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: ff7fa29f5dccd1ef65cf1e2f7e0983bce0a8da45bd98ab7abbb979c4654e570c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0a0ac48ea09bbbeb1a0047c12bc3d7a7b3e666cadbab12104b1473bba92e21b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-09-03T17:58:50Z",
    "title_canon_sha256": "dfe22402efca8115cffaddd2f383eeb10e0c88a1c7972e45f0c8a2a034afe68d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.02106",
    "kind": "arxiv",
    "version": 10
  }
}