Pith Number

pith:Z3CBY4SB

pith:2015:Z3CBY4SB2WDYUDR6NB5QM3FCBJ

not attested not anchored not stored refs pending

On the Integral Representation of $ax^2+by^2$ and the Artin Condition

Chang Lv, Junchao Shentu

arxiv:1502.07457 v1 · 2015-02-26 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3CBY4SB2WDYUDR6NB5QM3FCBJ}

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	2026-05-18T02:26:03.645083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cec41c7241d5878a0e3e687b066ca20a50a66c96da23c2c47a9e01531f100dd2

Aliases

arxiv: 1502.07457 · arxiv_version: 1502.07457v1 · doi: 10.48550/arxiv.1502.07457 · pith_short_12: Z3CBY4SB2WDY · pith_short_16: Z3CBY4SB2WDYUDR6 · pith_short_8: Z3CBY4SB

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/Z3CBY4SB2WDYUDR6NB5QM3FCBJ \
  | 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: cec41c7241d5878a0e3e687b066ca20a50a66c96da23c2c47a9e01531f100dd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ccee2ef71856265f4cffbcd49ba1143e62d684099d83a3b71c48eb4e8999995",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-02-26T06:44:19Z",
    "title_canon_sha256": "a9ac817841c6a9189d347122567efe53c3f35a89e7b28ff45d5f2f0f8b9daa24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07457",
    "kind": "arxiv",
    "version": 1
  }
}