Pith Number

pith:7R3NKFCB

pith:2012:7R3NKFCBONETNZS7M7IBFRL7JW

not attested not anchored not stored refs pending

The Golod property for products and high symbolic powers of monomial ideals

S. A. Seyed Fakhari, Volkmar Welker

arxiv:1209.2577 v1 · 2012-09-12 · math.AC · 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{7R3NKFCBONETNZS7M7IBFRL7JW}

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	2026-05-18T03:45:42.717310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc76d51441734936e65f67d012c57f4daf96c1e2865e0553561dcc2dc6cb6faf

Aliases

arxiv: 1209.2577 · arxiv_version: 1209.2577v1 · doi: 10.48550/arxiv.1209.2577 · pith_short_12: 7R3NKFCBONET · pith_short_16: 7R3NKFCBONETNZS7 · pith_short_8: 7R3NKFCB

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/7R3NKFCBONETNZS7M7IBFRL7JW \
  | 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: fc76d51441734936e65f67d012c57f4daf96c1e2865e0553561dcc2dc6cb6faf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68325636498886cfd0e2d152570cdd43f0e8ae4d210216415fcd991b6c62b8a6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-09-12T11:45:31Z",
    "title_canon_sha256": "b24e00004a4c205c6b816fa9ef695a6f686ea1423b9edf140d8086678fbdc0ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2577",
    "kind": "arxiv",
    "version": 1
  }
}