Pith Number

pith:N42GTDOJ

pith:2014:N42GTDOJT6R4RI3ALNCWSROS2S

not attested not anchored not stored refs pending

A structure theorem for multiplicative functions over the Gaussian integers and applications

Wenbo Sun

arxiv:1405.0241 v2 · 2014-05-01 · math.NT · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N42GTDOJT6R4RI3ALNCWSROS2S}

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	2026-05-18T02:32:14.034247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f34698dc99fa3c8a3605b456945d2d4b83b9e803ec9ade1d3adfecbd58539ae

Aliases

arxiv: 1405.0241 · arxiv_version: 1405.0241v2 · doi: 10.48550/arxiv.1405.0241 · pith_short_12: N42GTDOJT6R4 · pith_short_16: N42GTDOJT6R4RI3A · pith_short_8: N42GTDOJ

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/N42GTDOJT6R4RI3ALNCWSROS2S \
  | 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: 6f34698dc99fa3c8a3605b456945d2d4b83b9e803ec9ade1d3adfecbd58539ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de5c6f804e4dcb10abb1900f02ad9480cc92f79c51aa02a7a98ee5f456068885",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-05-01T18:11:30Z",
    "title_canon_sha256": "99eb6cec10c0ebbfecbf265433e27fc4d064dc699e2d093f104f0c06b5ef3f69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0241",
    "kind": "arxiv",
    "version": 2
  }
}