Pith Number

pith:PLFQLQEN

pith:2015:PLFQLQENJBWY64JMKRFZAFZQCG

not attested not anchored not stored refs pending

Formulas for generalized principal Lyapunov exponent for parabolic PDEs

Janusz Mierczy\'nski, Wenxian Shen

arxiv:1508.05012 v3 · 2015-08-20 · math.DS · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLFQLQENJBWY64JMKRFZAFZQCG}

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	2026-05-18T00:35:18.742785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7acb05c08d486d8f712c544b901730119e33b99d620dc2a97a7dbe174b06eb9f

Aliases

arxiv: 1508.05012 · arxiv_version: 1508.05012v3 · doi: 10.48550/arxiv.1508.05012 · pith_short_12: PLFQLQENJBWY · pith_short_16: PLFQLQENJBWY64JM · pith_short_8: PLFQLQEN

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/PLFQLQENJBWY64JMKRFZAFZQCG \
  | 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: 7acb05c08d486d8f712c544b901730119e33b99d620dc2a97a7dbe174b06eb9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23aa4c3c97bd7086118a10a54f1b24a85f3edcf9473cc20e8807dc0bcddfcd98",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-20T15:42:55Z",
    "title_canon_sha256": "9d9da45d018e2e76f9ca4198cfa2f7403f2b2a2baba6f5ecda882be24cffea4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05012",
    "kind": "arxiv",
    "version": 3
  }
}