Pith Number

pith:4GEPROPC

pith:2017:4GEPROPCP4LX4QKCA6K6BOO3DJ

not attested not anchored not stored refs pending

Categorical Pl\"ucker Formula and Homological Projective Duality

Naichung Conan Leung, Qingyuan Jiang, Ying Xie

arxiv:1704.01050 v1 · 2017-04-04 · 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{4GEPROPCP4LX4QKCA6K6BOO3DJ}

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	2026-05-18T00:47:16.353782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e188f8b9e27f177e41420795e0b9db1a5d96ce2bc8e58f6b7f49feaeff25eab1

Aliases

arxiv: 1704.01050 · arxiv_version: 1704.01050v1 · doi: 10.48550/arxiv.1704.01050 · pith_short_12: 4GEPROPCP4LX · pith_short_16: 4GEPROPCP4LX4QKC · pith_short_8: 4GEPROPC

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/4GEPROPCP4LX4QKCA6K6BOO3DJ \
  | 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: e188f8b9e27f177e41420795e0b9db1a5d96ce2bc8e58f6b7f49feaeff25eab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d459b2dae575b6e4210419158acbde8d4106077407e0c901c93a40debb25a286",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-04-04T15:16:55Z",
    "title_canon_sha256": "31e36fc51265d4bf046e4dd44a98fce09449d99fd12600724fecdcb70fe5354e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01050",
    "kind": "arxiv",
    "version": 1
  }
}