Pith Number

pith:I26HLAXN

pith:2018:I26HLAXN6JWCJ5FS64NTZN74MA

not attested not anchored not stored refs pending

Sums with the Mobius function twisted by characters with powerful moduli

Igor E. Shparlinski, William D. Banks

arxiv:1801.10276 v1 · 2018-01-31 · 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{I26HLAXN6JWCJ5FS64NTZN74MA}

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	2026-05-18T00:24:41.259905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46bc7582edf26c24f4b2f71b3cb7fc6009f5bd28874ec96f2006464a9518821a

Aliases

arxiv: 1801.10276 · arxiv_version: 1801.10276v1 · doi: 10.48550/arxiv.1801.10276 · pith_short_12: I26HLAXN6JWC · pith_short_16: I26HLAXN6JWCJ5FS · pith_short_8: I26HLAXN

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/I26HLAXN6JWCJ5FS64NTZN74MA \
  | 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: 46bc7582edf26c24f4b2f71b3cb7fc6009f5bd28874ec96f2006464a9518821a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70c44430d26bdcd4137b47c15d5398132251cdfe3acc9117beeed50077421c9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-31T02:10:35Z",
    "title_canon_sha256": "5439c01307ca36f0147c36c2cf44eda5f9c5f89babf529a0ec22970501fa16ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.10276",
    "kind": "arxiv",
    "version": 1
  }
}