Pith Number

pith:B5U2HZHF

pith:2011:B5U2HZHFF7GD752UMO42OTAHWF

not attested not anchored not stored refs pending

Compactified Jacobians and q,t-Catalan Numbers, I

E. Gorsky, Mikhail Mazin

arxiv:1105.1151 v2 · 2011-05-05 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5U2HZHFF7GD752UMO42OTAHWF}

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	2026-05-18T03:50:11.031612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f69a3e4e52fcc3ff75463b9a74c07b14928e989a50890e4e69a6e74962b3cf0

Aliases

arxiv: 1105.1151 · arxiv_version: 1105.1151v2 · doi: 10.48550/arxiv.1105.1151 · pith_short_12: B5U2HZHFF7GD · pith_short_16: B5U2HZHFF7GD752U · pith_short_8: B5U2HZHF

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/B5U2HZHFF7GD752UMO42OTAHWF \
  | 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: 0f69a3e4e52fcc3ff75463b9a74c07b14928e989a50890e4e69a6e74962b3cf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e08c7a784e9e1111e04b26933b3f1d502a68dd68773c2233c59547d92546438a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-05T19:23:44Z",
    "title_canon_sha256": "40ca3b0dccc5f8a3a38fc9a8f972b611d8f55e899dd11b4b7fbbb7917b080ad5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1151",
    "kind": "arxiv",
    "version": 2
  }
}