Pith Number

pith:XF6NJ7ZI

pith:2021:XF6NJ7ZIVWY66UUAQ53ECQ7773

not attested not anchored not stored refs pending

On the extension of battys theorem on the semigroup asymptotic stability

Bartosz Wasilewski, Grigory M. Sklyar, Piotr Polak

arxiv:2112.01233 v1 · 2021-12-02 · math.OC · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XF6NJ7ZIVWY66UUAQ53ECQ7773}

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	2026-07-05T03:37:06.807789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b97cd4ff28adb1ef528087764143fffec089f1b10840200a31f606d70fde1646

Aliases

arxiv: 2112.01233 · arxiv_version: 2112.01233v1 · doi: 10.48550/arxiv.2112.01233 · pith_short_12: XF6NJ7ZIVWY6 · pith_short_16: XF6NJ7ZIVWY66UUA · pith_short_8: XF6NJ7ZI

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/XF6NJ7ZIVWY66UUAQ53ECQ7773 \
  | 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: b97cd4ff28adb1ef528087764143fffec089f1b10840200a31f606d70fde1646

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "113f41d607d591362eee60438b194a1ac564a3352436f4aac6447711c55f7981",
    "cross_cats_sorted": [
      "math.DS",
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-12-02T13:45:09Z",
    "title_canon_sha256": "6c6f660795619b1eee84cb10662081d020b4852cffd64f18e149d1ccff37eef9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.01233",
    "kind": "arxiv",
    "version": 1
  }
}