Pith Number

pith:DVF5CBVQ

pith:2026:DVF5CBVQY6D62A3TJBSIK4GPDF

not attested not anchored not stored refs pending

Hilbert Series and Logarithmic Degrees of $A$-Hypergeometric Series

Mao Nagamine

arxiv:2608.01778 v1 · 2026-08-03 · math.AC · 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{DVF5CBVQY6D62A3TJBSIK4GPDF}

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	2026-08-04T02:06:57.988081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d4bd106b0c787ed037348648570cf194136e2dc8d2780ca8b4bc3cf7762df79

Aliases

arxiv: 2608.01778 · arxiv_version: 2608.01778v1 · doi: 10.48550/arxiv.2608.01778 · pith_short_12: DVF5CBVQY6D6 · pith_short_16: DVF5CBVQY6D62A3T · pith_short_8: DVF5CBVQ

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/DVF5CBVQY6D62A3TJBSIK4GPDF \
  | 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: 1d4bd106b0c787ed037348648570cf194136e2dc8d2780ca8b4bc3cf7762df79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d07df1c024d4284059bd1a2771815428628df9ac0b4af50369a16945fb1e571d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-08-03T06:51:10Z",
    "title_canon_sha256": "b7760c9fc3d7108f537e9774f23edcbb15f96b12fe8419e9e040db63ae8570b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01778",
    "kind": "arxiv",
    "version": 1
  }
}