Pith Number

pith:G35CKWP4

pith:2015:G35CKWP42AVJWSOAWTWVCCXWXM

not attested not anchored not stored refs pending

Log Kodaira dimension of homogeneous varieties

De-Qi Zhang, Michel Brion

arxiv:1511.01274 v2 · 2015-11-04 · math.AG · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G35CKWP42AVJWSOAWTWVCCXWXM}

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	2026-05-18T00:12:58.843146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36fa2559fcd02a9b49c0b4ed510af6bb13e36016bc7a20f626db773a944f3640

Aliases

arxiv: 1511.01274 · arxiv_version: 1511.01274v2 · doi: 10.48550/arxiv.1511.01274 · pith_short_12: G35CKWP42AVJ · pith_short_16: G35CKWP42AVJWSOA · pith_short_8: G35CKWP4

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/G35CKWP42AVJWSOAWTWVCCXWXM \
  | 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: 36fa2559fcd02a9b49c0b4ed510af6bb13e36016bc7a20f626db773a944f3640

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b97a46a42d73c2ba6c8d182ae861e29f0fa5174e45ef084d272f021d688d5bf",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-04T10:38:45Z",
    "title_canon_sha256": "77dcf35c202dc7cc5fd2583b8ed9a77c075330cf1899d53f4967f77fd1546c5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01274",
    "kind": "arxiv",
    "version": 2
  }
}