Pith Number

pith:SPJHNBV4

pith:2010:SPJHNBV4TWJYR3ERA6VHVZ4XD4

not attested not anchored not stored refs pending

On projective manifolds swept out by cubic varieties

Kiwamu Watanabe

arxiv:1010.2300 v3 · 2010-10-12 · 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{SPJHNBV4TWJYR3ERA6VHVZ4XD4}

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	2026-05-18T04:09:45.864297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93d27686bc9d9388ec9107aa7ae7971f0e0b6fbc6b6b81a25b2e2096dd3c8a37

Aliases

arxiv: 1010.2300 · arxiv_version: 1010.2300v3 · doi: 10.48550/arxiv.1010.2300 · pith_short_12: SPJHNBV4TWJY · pith_short_16: SPJHNBV4TWJYR3ER · pith_short_8: SPJHNBV4

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/SPJHNBV4TWJYR3ERA6VHVZ4XD4 \
  | 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: 93d27686bc9d9388ec9107aa7ae7971f0e0b6fbc6b6b81a25b2e2096dd3c8a37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6af545cb39fe3b2993919456633e80f56650c15124a46c7a83b71cc0f095a064",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-12T05:05:07Z",
    "title_canon_sha256": "9df70c8603e0ad64b412b28113e617b4982179af4cc9eb6dcf016dd8c2d029c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2300",
    "kind": "arxiv",
    "version": 3
  }
}