Pith Number

pith:25LKSKPW

pith:2018:25LKSKPWREIUVTHS7SQZXOYD3X

not attested not anchored not stored refs pending

Cubic hypersurfaces with positive dual defects

Katsuhisa Furukawa

arxiv:1806.03429 v4 · 2018-06-09 · 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{25LKSKPWREIUVTHS7SQZXOYD3X}

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	2026-05-18T00:02:54.809844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d756a929f689114accf2fca19bbb03ddf6a1b61da4c5181961db85d47c90ce2e

Aliases

arxiv: 1806.03429 · arxiv_version: 1806.03429v4 · doi: 10.48550/arxiv.1806.03429 · pith_short_12: 25LKSKPWREIU · pith_short_16: 25LKSKPWREIUVTHS · pith_short_8: 25LKSKPW

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/25LKSKPWREIUVTHS7SQZXOYD3X \
  | 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: d756a929f689114accf2fca19bbb03ddf6a1b61da4c5181961db85d47c90ce2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a26d5af0482ef90c2e9cc4cb309cb60acfe3abadc61baf8fa9b0ed0dc42f3c65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-06-09T07:25:54Z",
    "title_canon_sha256": "5ae7a1a602b091bd541b5b71a0627774aa3cbf1eea7e4c684f002ab67057c0d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03429",
    "kind": "arxiv",
    "version": 4
  }
}