Pith Number

pith:6K2UJTVG

pith:2019:6K2UJTVG4TBDK7NO7TPCWDIHZS

not attested not anchored not stored refs pending

Cubic forms having matrix factorizations by Hessian matrices

Yeongrak Kim

arxiv:1905.09628 v1 · 2019-05-23 · 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{6K2UJTVG4TBDK7NO7TPCWDIHZS}

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	2026-05-17T23:45:16.464664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2b544cea6e4c2357daefcde2b0d07ccbb98ed8dc23a964358fd57ebde70bbf8

Aliases

arxiv: 1905.09628 · arxiv_version: 1905.09628v1 · doi: 10.48550/arxiv.1905.09628 · pith_short_12: 6K2UJTVG4TBD · pith_short_16: 6K2UJTVG4TBDK7NO · pith_short_8: 6K2UJTVG

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/6K2UJTVG4TBDK7NO7TPCWDIHZS \
  | 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: f2b544cea6e4c2357daefcde2b0d07ccbb98ed8dc23a964358fd57ebde70bbf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97ccb40070f2f95d76bd3c0afa7056fd4412d7921b2e782519557e7eb383d3ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-05-23T13:01:15Z",
    "title_canon_sha256": "340c7970aa22906bc196203b56a95d6e2cb81e13b28dac5e0f7670d4779ac380"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.09628",
    "kind": "arxiv",
    "version": 1
  }
}