Pith Number

pith:Z6XAZB6F

pith:2012:Z6XAZB6FEDFVWPZOAWKIYTBQCP

not attested not anchored not stored refs pending

Tensor products of tautological bundles under the Bridgeland-King-Reid-Haiman equivalence

Andreas Krug

arxiv:1211.1640 v1 · 2012-11-07 · 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{Z6XAZB6FEDFVWPZOAWKIYTBQCP}

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	2026-05-18T03:41:20.591741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfae0c87c520cb5b3f2e05948c4c3013cda320e563378ecfc20e52d5dffba11f

Aliases

arxiv: 1211.1640 · arxiv_version: 1211.1640v1 · doi: 10.48550/arxiv.1211.1640 · pith_short_12: Z6XAZB6FEDFV · pith_short_16: Z6XAZB6FEDFVWPZO · pith_short_8: Z6XAZB6F

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/Z6XAZB6FEDFVWPZOAWKIYTBQCP \
  | 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: cfae0c87c520cb5b3f2e05948c4c3013cda320e563378ecfc20e52d5dffba11f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b66275f90203bf0ff3d5007105eb95b19e0b0c97d0b138f64cb270441395617d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-07T19:09:07Z",
    "title_canon_sha256": "4f951ed6c69b8cf855697b4a78f9800084e4849df16437e03f6d106898c3d00e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1640",
    "kind": "arxiv",
    "version": 1
  }
}