Pith Number

pith:BGAQQK2S

pith:2024:BGAQQK2SNEJAIIESOOGMNVB5KM

not attested not anchored not stored refs pending

A generalization of the Titchmarsh divisor problem

Biao Wang

arxiv:2406.12283 v1 · 2024-06-18 · 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{BGAQQK2SNEJAIIESOOGMNVB5KM}

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	2026-06-09T01:05:03.453493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0981082b526912042092738cc6d43d533e933911324cd499e8634c59112d6270

Aliases

arxiv: 2406.12283 · arxiv_version: 2406.12283v1 · doi: 10.48550/arxiv.2406.12283 · pith_short_12: BGAQQK2SNEJA · pith_short_16: BGAQQK2SNEJAIIES · pith_short_8: BGAQQK2S

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/BGAQQK2SNEJAIIESOOGMNVB5KM \
  | 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: 0981082b526912042092738cc6d43d533e933911324cd499e8634c59112d6270

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3f6f71a012be8fa5e9f4bda5023bc114d3a70be960520a42cf15b080be861b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-06-18T05:22:10Z",
    "title_canon_sha256": "aaacea7f77130f61ca0c3d3c13f2846560b87217ea886056a4db9a358ea2404c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.12283",
    "kind": "arxiv",
    "version": 1
  }
}