Pith Number

pith:QQN7R2NM

pith:2015:QQN7R2NMBSO3GI2SPAAUCWHYB2

not attested not anchored not stored refs pending

Equations defining recursive extensions as set theoretic complete intersections

Mesut \c{S}ahin, Tran Hoai Ngoc Nhan

arxiv:1512.02378 v1 · 2015-12-08 · math.AC · 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{QQN7R2NMBSO3GI2SPAAUCWHYB2}

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	2026-05-18T01:24:44.789162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

841bf8e9ac0c9db3235278014158f80e901273b27472e967033b42f0f32e1338

Aliases

arxiv: 1512.02378 · arxiv_version: 1512.02378v1 · doi: 10.48550/arxiv.1512.02378 · pith_short_12: QQN7R2NMBSO3 · pith_short_16: QQN7R2NMBSO3GI2S · pith_short_8: QQN7R2NM

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/QQN7R2NMBSO3GI2SPAAUCWHYB2 \
  | 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: 841bf8e9ac0c9db3235278014158f80e901273b27472e967033b42f0f32e1338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c81eee108e49a86049a36393b1f5a62fc2f897d98bb5207de9f987ee92cc45a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-12-08T09:30:34Z",
    "title_canon_sha256": "84997b63813f459f6b2971e52860c6533c0337039b81c32d4156adb68c959aa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02378",
    "kind": "arxiv",
    "version": 1
  }
}