Pith Number

pith:WGAQMJUD

pith:2012:WGAQMJUDBBI2L6M4YZI7TX2OKW

not attested not anchored not stored refs pending

Compactified Jacobians and q,t-Catalan numbers, II

Evgeny Gorsky, Mikhail Mazin

arxiv:1204.5448 v2 · 2012-04-24 · 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{WGAQMJUDBBI2L6M4YZI7TX2OKW}

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	2026-05-18T03:04:06.884722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1810626830851a5f99cc651f9df4e55bee13166d059c59f9b3f6545e367e5ed

Aliases

arxiv: 1204.5448 · arxiv_version: 1204.5448v2 · doi: 10.48550/arxiv.1204.5448 · pith_short_12: WGAQMJUDBBI2 · pith_short_16: WGAQMJUDBBI2L6M4 · pith_short_8: WGAQMJUD

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/WGAQMJUDBBI2L6M4YZI7TX2OKW \
  | 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: b1810626830851a5f99cc651f9df4e55bee13166d059c59f9b3f6545e367e5ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03d3fe679906a7ec6b13d4ad97061229533fe5ae34462528d43f99a8adac5345",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-04-24T17:52:33Z",
    "title_canon_sha256": "fe8690e8f19cf28e5c3ca94dedc10f29f8e0c8a155f26fe79781e543c5a136db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5448",
    "kind": "arxiv",
    "version": 2
  }
}