Pith Number

pith:DTBZC5T4

pith:2013:DTBZC5T4Z4LVHHGX36OSBNCAVI

not attested not anchored not stored refs pending

Local-global principle for certain biquadratic normic bundles

Yang Cao, Yongqi Liang

arxiv:1301.0202 v1 · 2013-01-02 · 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{DTBZC5T4Z4LVHHGX36OSBNCAVI}

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	2026-05-18T02:25:05.299007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cc391767ccf17539cd7df9d20b440aa0469e77110d30609432d367cc1c662ae

Aliases

arxiv: 1301.0202 · arxiv_version: 1301.0202v1 · doi: 10.48550/arxiv.1301.0202 · pith_short_12: DTBZC5T4Z4LV · pith_short_16: DTBZC5T4Z4LVHHGX · pith_short_8: DTBZC5T4

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/DTBZC5T4Z4LVHHGX36OSBNCAVI \
  | 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: 1cc391767ccf17539cd7df9d20b440aa0469e77110d30609432d367cc1c662ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76b8c3d959f23c2f62cb0fa07d3053c8e37b868235aa4ed11b2ee24a788a92ff",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-02T10:27:28Z",
    "title_canon_sha256": "fa8e7f79de03c1f86e3e2ee45d1701d168635173e3b7e95d5d213704520c40ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0202",
    "kind": "arxiv",
    "version": 1
  }
}