Pith Number

pith:2G456DYG

pith:2012:2G456DYGNUU3RYIMRV3REN7CPY

not attested not anchored not stored refs pending

Generating series of the Poincare polynomials of quasihomogeneous Hilbert schemes

A. Buryak, B. L. Feigin

arxiv:1206.5640 v2 · 2012-06-25 · 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{2G456DYGNUU3RYIMRV3REN7CPY}

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	2026-05-18T02:30:47.929701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1b9df0f066d29b8e10c8d771237e27e2c8b801c784844e1403eac6b3c2d7546

Aliases

arxiv: 1206.5640 · arxiv_version: 1206.5640v2 · doi: 10.48550/arxiv.1206.5640 · pith_short_12: 2G456DYGNUU3 · pith_short_16: 2G456DYGNUU3RYIM · pith_short_8: 2G456DYG

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/2G456DYGNUU3RYIMRV3REN7CPY \
  | 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: d1b9df0f066d29b8e10c8d771237e27e2c8b801c784844e1403eac6b3c2d7546

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4dad6449ec43ec515ad842ab5880f8365f5f015692bf431552cb1dfc5359936",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-25T10:42:08Z",
    "title_canon_sha256": "c14a6cf9d358d1e2f8feb173cde849a152e1c5a47e75e9b6bb2354d446e20080"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5640",
    "kind": "arxiv",
    "version": 2
  }
}