Pith Number

pith:DLVN3WC2

pith:2013:DLVN3WC2PFCHOLEREZO74YWQ6R

not attested not anchored not stored refs pending

Ratliff-Rush closures and linear growth of primary decompositions of ideals

Monireh Sedghi

arxiv:1308.5948 v2 · 2013-08-27 · 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{DLVN3WC2PFCHOLEREZO74YWQ6R}

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	2026-05-18T01:10:33.775853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aeaddd85a7944772c91265dfe62d0f475db80e005bdbd7faee798b57a9e8e74

Aliases

arxiv: 1308.5948 · arxiv_version: 1308.5948v2 · doi: 10.48550/arxiv.1308.5948 · pith_short_12: DLVN3WC2PFCH · pith_short_16: DLVN3WC2PFCHOLER · pith_short_8: DLVN3WC2

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/DLVN3WC2PFCHOLEREZO74YWQ6R \
  | 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: 1aeaddd85a7944772c91265dfe62d0f475db80e005bdbd7faee798b57a9e8e74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7015ea1650851874825a8912f17ea7300dd517d09ae6502b043880087210e155",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-08-27T18:52:09Z",
    "title_canon_sha256": "56d520dfda485604938555c63b1977805797c15f106f2dd1e664078d91cc9e64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5948",
    "kind": "arxiv",
    "version": 2
  }
}