Pith Number

pith:53BOVWK2

pith:2012:53BOVWK2GY3DBNJ3EAYA3JO7KA

not attested not anchored not stored refs pending

Window shifts, flop equivalences and Grassmannian twists

Ed Segal, Will Donovan

arxiv:1206.0219 v2 · 2012-06-01 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53BOVWK2GY3DBNJ3EAYA3JO7KA}

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.

Cited by

1 paper in Pith

A single point as a Calabi-Yau zerofold

Receipt and verification

First computed	2026-05-17T23:53:18.684111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eec2ead95a363630b53b20300da5df500266d0926ab44a6f523fd5169edfc177

Aliases

arxiv: 1206.0219 · arxiv_version: 1206.0219v2 · doi: 10.48550/arxiv.1206.0219 · pith_short_12: 53BOVWK2GY3D · pith_short_16: 53BOVWK2GY3DBNJ3 · pith_short_8: 53BOVWK2

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/53BOVWK2GY3DBNJ3EAYA3JO7KA \
  | 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: eec2ead95a363630b53b20300da5df500266d0926ab44a6f523fd5169edfc177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30c977bcb6994a980934c9cea5915be4eb4411fee30002c52029f812cf529971",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-01T15:09:15Z",
    "title_canon_sha256": "ba0703b7614e798971638149f726b81ddec161feb38484d9b7d09f8393c3c240"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0219",
    "kind": "arxiv",
    "version": 2
  }
}