Pith Number

pith:BRX77TGT

pith:2018:BRX77TGTGEDSAWHISKMAYXN6TN

not attested not anchored not stored refs pending

Mean values of divisors of forms $n^2+Nm^2$

Liangyi Zhao, Peng Gao

arxiv:1812.07863 v1 · 2018-12-19 · 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{BRX77TGTGEDSAWHISKMAYXN6TN}

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	2026-05-17T23:57:55.696747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c6fffccd331072058e892980c5dbe9b45a1d532d19ab3187c88a61dac5e7c83

Aliases

arxiv: 1812.07863 · arxiv_version: 1812.07863v1 · doi: 10.48550/arxiv.1812.07863 · pith_short_12: BRX77TGTGEDS · pith_short_16: BRX77TGTGEDSAWHI · pith_short_8: BRX77TGT

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/BRX77TGTGEDSAWHISKMAYXN6TN \
  | 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: 0c6fffccd331072058e892980c5dbe9b45a1d532d19ab3187c88a61dac5e7c83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2685c99ec34ee5253f10ae82478b1b8e0d22c6c2dc0f79e209f6fef646c707ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-19T10:23:53Z",
    "title_canon_sha256": "760decde244c38b52dc7e07e9a14f47ca2b04cd2a9e49cd71c8b0fb6fe08a725"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07863",
    "kind": "arxiv",
    "version": 1
  }
}