Pith Number

pith:4CQQLYNH

pith:2014:4CQQLYNHY4V6RYJZ3Q6CCDBWL5

not attested not anchored not stored refs pending

The degree of the Hilbert-Poincar\'e polynomial of PBW-graded modules

Christian Desczyk, Ghislain Fourier, Lara Bossinger, Teodor Backhaus

arxiv:1408.0901 v2 · 2014-08-05 · math.RT · 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{4CQQLYNHY4V6RYJZ3Q6CCDBWL5}

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	2026-05-18T02:39:00.751743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0a105e1a7c72be8e139dc3c210c365f71cb613d3f2dc3ecc8ee801a3dab678f

Aliases

arxiv: 1408.0901 · arxiv_version: 1408.0901v2 · doi: 10.48550/arxiv.1408.0901 · pith_short_12: 4CQQLYNHY4V6 · pith_short_16: 4CQQLYNHY4V6RYJZ · pith_short_8: 4CQQLYNH

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/4CQQLYNHY4V6RYJZ3Q6CCDBWL5 \
  | 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: e0a105e1a7c72be8e139dc3c210c365f71cb613d3f2dc3ecc8ee801a3dab678f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d40ced75e984b6cbb3a074d1994e8e2f5ff4d3868eb44175d5850ace4b63dd08",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-08-05T09:31:13Z",
    "title_canon_sha256": "65ec98cfe2f0ff45ee0ce9565f2485b86aac527403c4f4ba3814b2d01a64dbc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0901",
    "kind": "arxiv",
    "version": 2
  }
}