Pith Number

pith:ENR6HYHP

pith:2011:ENR6HYHPKP57YVTS6B552V45ME

not attested not anchored not stored refs pending

On the Betti numbers of some semigroup rings

Anda Olteanu, Vincenzo Micale

arxiv:1111.1433 v1 · 2011-11-06 · 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{ENR6HYHPKP57YVTS6B552V45ME}

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	2026-05-18T04:09:26.147270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2363e3e0ef53fbfc5672f07bdd579d6101c518bf00d1087f8945de6c90dc9a0e

Aliases

arxiv: 1111.1433 · arxiv_version: 1111.1433v1 · doi: 10.48550/arxiv.1111.1433 · pith_short_12: ENR6HYHPKP57 · pith_short_16: ENR6HYHPKP57YVTS · pith_short_8: ENR6HYHP

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/ENR6HYHPKP57YVTS6B552V45ME \
  | 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: 2363e3e0ef53fbfc5672f07bdd579d6101c518bf00d1087f8945de6c90dc9a0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e659ee7c99cb3f5643e4e91f9c81b4095ade30e898b6ed37a8a665f76c536589",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-11-06T16:41:25Z",
    "title_canon_sha256": "6697d14061da6ed15b178ff9521df125adbd4920873bd24292fcaaace64a7ac6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1433",
    "kind": "arxiv",
    "version": 1
  }
}