Pith Number

pith:2BPQZ7M6

pith:2016:2BPQZ7M6AAPGBPAUEADSYZ2MVD

not attested not anchored not stored refs pending

Torsion exceptional sheaves on weak del Pezzo surfaces of Type A

Chen Jiang, Pu Cao

arxiv:1605.01280 v3 · 2016-05-04 · 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{2BPQZ7M6AAPGBPAUEADSYZ2MVD}

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	2026-05-18T00:24:35.604098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d05f0cfd9e001e60bc1420072c674ca8eff1d5721739e43830d8cb4bddeaeb98

Aliases

arxiv: 1605.01280 · arxiv_version: 1605.01280v3 · doi: 10.48550/arxiv.1605.01280 · pith_short_12: 2BPQZ7M6AAPG · pith_short_16: 2BPQZ7M6AAPGBPAU · pith_short_8: 2BPQZ7M6

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/2BPQZ7M6AAPGBPAUEADSYZ2MVD \
  | 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: d05f0cfd9e001e60bc1420072c674ca8eff1d5721739e43830d8cb4bddeaeb98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c85d72310299f7e4c156bc6c6d9bf1dcfedcf340ea1b48cca2f7eb4f7bdd07be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-04T13:50:15Z",
    "title_canon_sha256": "4d592e098e22d9a9b0ca96aacd57c2ef2e8c4d183c749a531755e5d6837700d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01280",
    "kind": "arxiv",
    "version": 3
  }
}