Pith Number

pith:4JJ3AVUM

pith:2025:4JJ3AVUMPE6SNFZV2NVUW5RCO3

not attested not anchored not stored refs pending

Large values of character sums with multiplicative coefficients

Shengbo Zhao, Yutong Song, Zhonghua Li, Zikang Dong

arxiv:2508.09750 v1 · 2025-08-13 · 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{4JJ3AVUMPE6SNFZV2NVUW5RCO3}

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	2026-07-05T11:53:21.229299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e253b0568c793d269735d36b4b762276f6bf58aee80871e7ffcee2725b8a6f96

Aliases

arxiv: 2508.09750 · arxiv_version: 2508.09750v1 · doi: 10.48550/arxiv.2508.09750 · pith_short_12: 4JJ3AVUMPE6S · pith_short_16: 4JJ3AVUMPE6SNFZV · pith_short_8: 4JJ3AVUM

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/4JJ3AVUMPE6SNFZV2NVUW5RCO3 \
  | 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: e253b0568c793d269735d36b4b762276f6bf58aee80871e7ffcee2725b8a6f96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d364afddb82d8dd27c9a56d85ad8236b83c464602f4b1dc902a6895be2cb58a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-13T12:25:01Z",
    "title_canon_sha256": "403046fc82afa93870e41310cc6cf5bd2fc1c017a411e01a22b0aff1263b7db6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.09750",
    "kind": "arxiv",
    "version": 1
  }
}