Pith Number

pith:2KDS7VNY

pith:2015:2KDS7VNYFYL3QLZVROOWQIG6HY

not attested not anchored not stored refs pending

On the canonical degrees of Gorenstein threefolds of general type

Rong Du, Yun Gao

arxiv:1509.04832 v3 · 2015-09-16 · 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{2KDS7VNYFYL3QLZVROOWQIG6HY}

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	2026-05-18T01:19:00.296022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2872fd5b82e17b82f358b9d6820de3e1c08f36d8ba6fdf5a37c60b0bacb58fb

Aliases

arxiv: 1509.04832 · arxiv_version: 1509.04832v3 · doi: 10.48550/arxiv.1509.04832 · pith_short_12: 2KDS7VNYFYL3 · pith_short_16: 2KDS7VNYFYL3QLZV · pith_short_8: 2KDS7VNY

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/2KDS7VNYFYL3QLZVROOWQIG6HY \
  | 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: d2872fd5b82e17b82f358b9d6820de3e1c08f36d8ba6fdf5a37c60b0bacb58fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67ed5098d3683d5aae61ccad19f4a19a8bcd544b02d58cc6985df14c02749cac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-16T07:11:19Z",
    "title_canon_sha256": "1d7204d74b546d1c5ccdf7b6c3d6cc1435cb298f79487703ce6957daea61714c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04832",
    "kind": "arxiv",
    "version": 3
  }
}