Pith Number

pith:EUVRD5QN

pith:2018:EUVRD5QNBCGIY5R2RNOBUJJWO3

not attested not anchored not stored refs pending

Lyapunov-type characterisation of exponential dichotomies with applications to the heat and Klein-Gordon equations

Gong Chen, Jacek Jendrej

arxiv:1812.07322 v2 · 2018-12-18 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EUVRD5QNBCGIY5R2RNOBUJJWO3}

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	2026-05-17T23:57:14.573307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

252b11f60d088c8c763a8b5c1a253676f659d656dfbe75a90f36c6129e137de9

Aliases

arxiv: 1812.07322 · arxiv_version: 1812.07322v2 · doi: 10.48550/arxiv.1812.07322 · pith_short_12: EUVRD5QNBCGI · pith_short_16: EUVRD5QNBCGIY5R2 · pith_short_8: EUVRD5QN

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/EUVRD5QNBCGIY5R2RNOBUJJWO3 \
  | 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: 252b11f60d088c8c763a8b5c1a253676f659d656dfbe75a90f36c6129e137de9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f60c3d2e6f7b6204d8627e40f5ab1d59009c9020cae31b7cbe5d3a7b00090b8",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-18T12:12:29Z",
    "title_canon_sha256": "9834d9c4c493207de7096f924f7f176761ea3fea9410b99f88bf18e48842417a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07322",
    "kind": "arxiv",
    "version": 2
  }
}