Pith Number

pith:YIUMC7D7

pith:2019:YIUMC7D7SR43SZVBU362B7N232

not attested not anchored not stored refs pending

Powers of monomial ideals and the Ratliff-Rush operation

Oleksandra Gasanova

arxiv:1908.10185 v1 · 2019-08-27 · 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{YIUMC7D7SR43SZVBU362B7N232}

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	2026-07-04T23:59:54.714843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c228c17c7f9479b966a1a6fda0fdbadeb3589d632fb28fa87d3dd4754d986e3e

Aliases

arxiv: 1908.10185 · arxiv_version: 1908.10185v1 · doi: 10.48550/arxiv.1908.10185 · pith_short_12: YIUMC7D7SR43 · pith_short_16: YIUMC7D7SR43SZVB · pith_short_8: YIUMC7D7

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/YIUMC7D7SR43SZVBU362B7N232 \
  | 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: c228c17c7f9479b966a1a6fda0fdbadeb3589d632fb28fa87d3dd4754d986e3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c004a156765b866a5e7ded4d45bbee28dafeda9d8008ad8007ae40b41113641",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-08-27T13:31:22Z",
    "title_canon_sha256": "ffe3904b964fca06d00acba77051399386fb68bf4dd6355a61d83cc9d59726d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10185",
    "kind": "arxiv",
    "version": 1
  }
}