Pith Number

pith:CYJ2RMHQ

pith:2026:CYJ2RMHQMWGU7ZXTB7VN5QZ32L

not attested not anchored not stored refs pending

Derived functors and Hilbert polynomials over Gorenstein rings

Satyabrata Paul, Tony J. Puthenpurakal

arxiv:2606.18245 v1 · 2026-06-16 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYJ2RMHQMWGU7ZXTB7VN5QZ32L}

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	2026-06-19T16:10:52.410521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1613a8b0f0658d4fe6f30feadec33bd2c101d861b9635c3f0b68b0992fc37a1c

Aliases

arxiv: 2606.18245 · arxiv_version: 2606.18245v1 · doi: 10.48550/arxiv.2606.18245 · pith_short_12: CYJ2RMHQMWGU · pith_short_16: CYJ2RMHQMWGU7ZXT · pith_short_8: CYJ2RMHQ

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/CYJ2RMHQMWGU7ZXTB7VN5QZ32L \
  | 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: 1613a8b0f0658d4fe6f30feadec33bd2c101d861b9635c3f0b68b0992fc37a1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb00a6acebbb755e892e09e3c644d09887c9755c9c89f27cd2c9f727fb5b50d6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-06-16T17:59:03Z",
    "title_canon_sha256": "8ea2007e353931f28557d3c45423d6b997eafdc4dcbd44715694b2b9c758ebd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18245",
    "kind": "arxiv",
    "version": 1
  }
}