Pith Number

pith:4AUNCH2O

pith:2019:4AUNCH2ORMWU6AMFW3DQOMJBLH

not attested not anchored not stored refs pending

On the divisor problem with congruence conditions

Lirui Jia, Tianxin Cai, Wenguang Zhai

arxiv:1908.05598 v1 · 2019-08-14 · 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{4AUNCH2ORMWU6AMFW3DQOMJBLH}

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	2026-07-04T23:56:54.153347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e028d11f4e8b2d4f0185b6c707312159f100c683173a4f1509a58a1cb0d64fdc

Aliases

arxiv: 1908.05598 · arxiv_version: 1908.05598v1 · doi: 10.48550/arxiv.1908.05598 · pith_short_12: 4AUNCH2ORMWU · pith_short_16: 4AUNCH2ORMWU6AMF · pith_short_8: 4AUNCH2O

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/4AUNCH2ORMWU6AMFW3DQOMJBLH \
  | 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: e028d11f4e8b2d4f0185b6c707312159f100c683173a4f1509a58a1cb0d64fdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c999f04e186d8eb8e3d42cbd3a39fd2a62cf5c98317434a70a435e6850d0f473",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-14T07:18:08Z",
    "title_canon_sha256": "07f0b800f269c518b4610a97f5af0a11afcd29d0c3cd54962208ff152ee989d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05598",
    "kind": "arxiv",
    "version": 1
  }
}