Pith Number

pith:WPLDYUW7

pith:2010:WPLDYUW7EOLCMIBJ5FYDGVN6UA

not attested not anchored not stored refs pending

A New Class of Non-Linear Stability Preserving Operators

Lukasz Grabarek

arxiv:1005.4252 v2 · 2010-05-24 · math.CV · 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{WPLDYUW7EOLCMIBJ5FYDGVN6UA}

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	2026-05-18T02:23:56.239049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3d63c52df2396262029e9703355bea0384739f1e09489b1ba2f3d22fc8737f1

Aliases

arxiv: 1005.4252 · arxiv_version: 1005.4252v2 · doi: 10.48550/arxiv.1005.4252 · pith_short_12: WPLDYUW7EOLC · pith_short_16: WPLDYUW7EOLCMIBJ · pith_short_8: WPLDYUW7

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/WPLDYUW7EOLCMIBJ5FYDGVN6UA \
  | 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: b3d63c52df2396262029e9703355bea0384739f1e09489b1ba2f3d22fc8737f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c79023aaad6afc119b0bfc291935b81ed920b6fda2a4d7570dec327da9f6b397",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-05-24T04:06:20Z",
    "title_canon_sha256": "0209813c2e477230427a20365ced88152b4fe4d9e3532d20855013863d39ec56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4252",
    "kind": "arxiv",
    "version": 2
  }
}