Pith Number

pith:EA5TG5MV

pith:2026:EA5TG5MVWKUZ4HVLQIQNP22C2O

not attested not anchored not stored refs pending

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

Adam J. Harper

arxiv:2607.01184 v1 · 2026-07-01 · 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{EA5TG5MVWKUZ4HVLQIQNP22C2O}

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	2026-07-02T01:18:31.961384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

203b337595b2a99e1eab8220d7eb42d39a215a76ae89a3144b70d74fa277b2ef

Aliases

arxiv: 2607.01184 · arxiv_version: 2607.01184v1 · doi: 10.48550/arxiv.2607.01184 · pith_short_12: EA5TG5MVWKUZ · pith_short_16: EA5TG5MVWKUZ4HVL · pith_short_8: EA5TG5MV

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/EA5TG5MVWKUZ4HVLQIQNP22C2O \
  | 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: 203b337595b2a99e1eab8220d7eb42d39a215a76ae89a3144b70d74fa277b2ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0135f76965b37cb375add72c530d9963a15b3ad5154570d9e4e322889fb2f0aa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-01T17:17:10Z",
    "title_canon_sha256": "96f7ac2c248a5f99a7776f8e850e7ac31e422e0e3799a3297d890587dd45ed93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01184",
    "kind": "arxiv",
    "version": 1
  }
}