Pith Number

pith:FNJXCQ63

pith:2024:FNJXCQ637UGHD5B5QCONOGCXAE

not attested not anchored not stored refs pending

Moments of random multiplicative functions, III: A short review

Adam J. Harper

arxiv:2410.11523 v1 · 2024-10-15 · math.NT · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNJXCQ637UGHD5B5QCONOGCXAE}

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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

Lower bounds for low moments of character sums, I: Short sums with general multiplicative weights

Receipt and verification

First computed	2026-07-05T09:20:55.004957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b537143dbfd0c71f43d809cd718570138a2c4a4f29f1c8c9fbb2ad5af10c2c0

Aliases

arxiv: 2410.11523 · arxiv_version: 2410.11523v1 · doi: 10.48550/arxiv.2410.11523 · pith_short_12: FNJXCQ637UGH · pith_short_16: FNJXCQ637UGHD5B5 · pith_short_8: FNJXCQ63

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/FNJXCQ637UGHD5B5QCONOGCXAE \
  | 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: 2b537143dbfd0c71f43d809cd718570138a2c4a4f29f1c8c9fbb2ad5af10c2c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "778fb8cbc489d69112b655ca7fd9315f4d4bae90884b33cda68b02cbe164923e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-10-15T11:50:25Z",
    "title_canon_sha256": "5deb8caf8eb4d817fef3529746c2029cd6c301b8459b4f1bc0c2d2c2005eb3ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.11523",
    "kind": "arxiv",
    "version": 1
  }
}