Pith Number

pith:ABAJP2YD

pith:2011:ABAJP2YDJY7JRUEPV5CEASIQKA

not attested not anchored not stored refs pending

Cotangent bundles of toric varieties and coverings of toric hyperk\"ahler manifolds

Craig van Coevering, Wei Zhang

arxiv:1101.5050 v4 · 2011-01-26 · math.DG · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABAJP2YDJY7JRUEPV5CEASIQKA}

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	2026-05-18T02:22:49.523558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

004097eb034e3e98d08faf44404910500feb233f278957a6565067ecee4de2c2

Aliases

arxiv: 1101.5050 · arxiv_version: 1101.5050v4 · doi: 10.48550/arxiv.1101.5050 · pith_short_12: ABAJP2YDJY7J · pith_short_16: ABAJP2YDJY7JRUEP · pith_short_8: ABAJP2YD

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/ABAJP2YDJY7JRUEPV5CEASIQKA \
  | 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: 004097eb034e3e98d08faf44404910500feb233f278957a6565067ecee4de2c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0263aae9159109973bae4a3cf2dd7ed893d20db0bcd15d32f62dde4dad12878",
    "cross_cats_sorted": [
      "math.AG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-01-26T13:14:20Z",
    "title_canon_sha256": "0192a5469671f8aff1e728afca4fe1ffeec3a6876a2c1919c92a7a663194b437"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5050",
    "kind": "arxiv",
    "version": 4
  }
}