Pith Number

pith:4FEE7OPQ

pith:2017:4FEE7OPQCR7BTG6P6QMKFVNVAZ

not attested not anchored not stored refs pending

On arithmetic general theorems for polarized varieties

Nathan Grieve

arxiv:1712.04367 v4 · 2017-12-12 · 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{4FEE7OPQCR7BTG6P6QMKFVNVAZ}

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	2026-05-18T00:06:40.979726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1484fb9f0147e199bcff418a2d5b506514ccf98feeebb2c105ce8a8ffafd5cb

Aliases

arxiv: 1712.04367 · arxiv_version: 1712.04367v4 · doi: 10.48550/arxiv.1712.04367 · pith_short_12: 4FEE7OPQCR7B · pith_short_16: 4FEE7OPQCR7BTG6P · pith_short_8: 4FEE7OPQ

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/4FEE7OPQCR7BTG6P6QMKFVNVAZ \
  | 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: e1484fb9f0147e199bcff418a2d5b506514ccf98feeebb2c105ce8a8ffafd5cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce005914a606af128f31ddaa1a79baba42eb381032e492b4e0d647a6252187d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-12T16:02:11Z",
    "title_canon_sha256": "0dafda7d4c677ba051956835676c1cc73fe4b6ddca35db693ffa2ce0cb96d156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04367",
    "kind": "arxiv",
    "version": 4
  }
}