Pith Number

pith:CLY4XTAT

pith:2011:CLY4XTATBTSJLX5ATPMRER5CLT

not attested not anchored not stored refs pending

A residue calculus approach to the uniform Artin-Rees lemma

Jacob Sznajdman

arxiv:1106.5154 v2 · 2011-06-25 · math.AC · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLY4XTATBTSJLX5ATPMRER5CLT}

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	2026-05-18T03:59:25.422345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12f1cbcc130ce495dfa09bd91247a25cf0884491ffa32965f56ce5a4153fb906

Aliases

arxiv: 1106.5154 · arxiv_version: 1106.5154v2 · doi: 10.48550/arxiv.1106.5154 · pith_short_12: CLY4XTATBTSJ · pith_short_16: CLY4XTATBTSJLX5A · pith_short_8: CLY4XTAT

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/CLY4XTATBTSJLX5ATPMRER5CLT \
  | 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: 12f1cbcc130ce495dfa09bd91247a25cf0884491ffa32965f56ce5a4153fb906

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8c5512bc874b46b9755192e00d4e3bccb4dd902af52548563f85314d5accf6b",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-06-25T18:05:41Z",
    "title_canon_sha256": "2c24f15a59cb8629cb98eeffbc5d71e4bd843e8a9e43acee047a60fbac9575cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5154",
    "kind": "arxiv",
    "version": 2
  }
}