Pith Number

pith:5ZMDY4F5

pith:2022:5ZMDY4F5MV3TVKBNMVREWTZCSC

not attested not anchored not stored refs pending

Nonarchimedean Lyapunov exponents of polynomials

Hongming Nie

arxiv:2202.13550 v2 · 2022-02-28 · 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{5ZMDY4F5MV3TVKBNMVREWTZCSC}

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.

Cited by

1 paper in Pith

Blow-up of multipliers in meromorphic families of rational maps

Receipt and verification

First computed	2026-07-05T04:06:49.628211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee583c70bd65773aa82d65624b4f2290bc4469811be338c93b42e3397f1a2211

Aliases

arxiv: 2202.13550 · arxiv_version: 2202.13550v2 · doi: 10.48550/arxiv.2202.13550 · pith_short_12: 5ZMDY4F5MV3T · pith_short_16: 5ZMDY4F5MV3TVKBN · pith_short_8: 5ZMDY4F5

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/5ZMDY4F5MV3TVKBNMVREWTZCSC \
  | 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: ee583c70bd65773aa82d65624b4f2290bc4469811be338c93b42e3397f1a2211

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5df315c0bed47ff904ed19330a864329d45f821651feb3f6df14f9b2741cb859",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-02-28T05:38:09Z",
    "title_canon_sha256": "90f6c9fd81248707ce73f2a88b7c1b3e673721e87f70ab66111411b00a615484"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.13550",
    "kind": "arxiv",
    "version": 2
  }
}