Pith Number

pith:FBIKHEIY

pith:2013:FBIKHEIYOZEMJ2ZJ32MG6ZB53Z

not attested not anchored not stored refs pending

Hilbert regularity of ZZ-graded modules over polynomial rings

Jan Uliczka, Julio Jos\'e Moyano-Fern\'andez, Winfried Bruns

arxiv:1308.2917 v1 · 2013-08-13 · 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{FBIKHEIYOZEMJ2ZJ32MG6ZB53Z}

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	2026-05-18T03:15:58.220197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2850a391187648c4eb29de986f643dde456bae7127bbdc03fce488ffce3ff30a

Aliases

arxiv: 1308.2917 · arxiv_version: 1308.2917v1 · doi: 10.48550/arxiv.1308.2917 · pith_short_12: FBIKHEIYOZEM · pith_short_16: FBIKHEIYOZEMJ2ZJ · pith_short_8: FBIKHEIY

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/FBIKHEIYOZEMJ2ZJ32MG6ZB53Z \
  | 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: 2850a391187648c4eb29de986f643dde456bae7127bbdc03fce488ffce3ff30a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77e6710ab7d03803698d642c6915f10143635331ab4a05b0fe0887860d590672",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-08-13T17:08:19Z",
    "title_canon_sha256": "21384235d6255f860eba70a07c8055aafd961a1ca350d53f8ecbbf87db216aed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2917",
    "kind": "arxiv",
    "version": 1
  }
}