Pith Number

pith:C7ESTQ2W

pith:2011:C7ESTQ2W4WUVHTJ7NLDMG3IZNN

not attested not anchored not stored refs pending

Invariant stably complex structures on topological toric manifolds

Hiroaki Ishida

arxiv:1102.4673 v1 · 2011-02-23 · math.DG · 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{C7ESTQ2W4WUVHTJ7NLDMG3IZNN}

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	2026-05-18T04:28:07.663444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17c929c356e5a953cd3f6ac6c36d196b75c4778158a622e74aba07dff335a4c1

Aliases

arxiv: 1102.4673 · arxiv_version: 1102.4673v1 · doi: 10.48550/arxiv.1102.4673 · pith_short_12: C7ESTQ2W4WUV · pith_short_16: C7ESTQ2W4WUVHTJ7 · pith_short_8: C7ESTQ2W

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/C7ESTQ2W4WUVHTJ7NLDMG3IZNN \
  | 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: 17c929c356e5a953cd3f6ac6c36d196b75c4778158a622e74aba07dff335a4c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c93ad84b1750d544a46ad4e10d89a657fc5a1fe57dbd89a062771f1a8e3a1e6e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-02-23T07:08:04Z",
    "title_canon_sha256": "aaf1ae247d37cd56fa4b31b349ee223e4f6de853020240c537ff6206d10dc6d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4673",
    "kind": "arxiv",
    "version": 1
  }
}