Pith Number

pith:WI34YIZ7

pith:2019:WI34YIZ72OJP5ASR2E3RUO4CCY

not attested not anchored not stored refs pending

Robustness of nonuniform mean-square exponential dichotomies

Hailong Zhu

arxiv:1902.04199 v2 · 2019-02-12 · 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{WI34YIZ72OJP5ASR2E3RUO4CCY}

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	2026-05-17T23:43:27.875435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b237cc233fd392fe8251d1371a3b82161335a0ff09098b8738fe16fdaba23b2e

Aliases

arxiv: 1902.04199 · arxiv_version: 1902.04199v2 · doi: 10.48550/arxiv.1902.04199 · pith_short_12: WI34YIZ72OJP · pith_short_16: WI34YIZ72OJP5ASR · pith_short_8: WI34YIZ7

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/WI34YIZ72OJP5ASR2E3RUO4CCY \
  | 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: b237cc233fd392fe8251d1371a3b82161335a0ff09098b8738fe16fdaba23b2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd9ccc5185e4cf27d8b83707bbb5c0cd21c355ce8a2be41b643839d4da2c268c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-02-12T00:59:10Z",
    "title_canon_sha256": "97d79573ba118d05bb26f0ab111c826c72dc8181de1f0d8f5a356ba2af10a278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04199",
    "kind": "arxiv",
    "version": 2
  }
}