Pith Number

pith:Y64AOFVC

pith:2016:Y64AOFVC2JBO2ZRRACCJ4VNCYG

not attested not anchored not stored refs pending

On the Sign Changes of a Weighted Divisor Problem

Lirui Jia, Tianxin Cai, Wenguang Zhai

arxiv:1603.04977 v2 · 2016-03-16 · 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{Y64AOFVC2JBO2ZRRACCJ4VNCYG}

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	2026-05-18T00:57:04.684786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7b80716a2d242ed663100849e55a2c1844398b516f61b04ba818440a59fabb9

Aliases

arxiv: 1603.04977 · arxiv_version: 1603.04977v2 · doi: 10.48550/arxiv.1603.04977 · pith_short_12: Y64AOFVC2JBO · pith_short_16: Y64AOFVC2JBO2ZRR · pith_short_8: Y64AOFVC

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/Y64AOFVC2JBO2ZRRACCJ4VNCYG \
  | 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: c7b80716a2d242ed663100849e55a2c1844398b516f61b04ba818440a59fabb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4e4e4ddb73debf99a1b0fc8c3611c34618676c8c914528e32065a2ff2f2baed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-16T06:44:20Z",
    "title_canon_sha256": "1297e0f0ed072ca8bd8558749c2db31b1ff6e144639c3c58c49266a235e90a60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04977",
    "kind": "arxiv",
    "version": 2
  }
}