Pith Number

pith:5EZLW2IV

pith:2018:5EZLW2IVDMQTSFIZABK6G7W6QI

not attested not anchored not stored refs pending

Explicit bounds for separation between Oseledets subspaces

Anthony Quas, Mohamed Zarrabi, Philippe Thieullen

arxiv:1808.07230 v1 · 2018-08-22 · 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{5EZLW2IVDMQTSFIZABK6G7W6QI}

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	2026-05-18T00:07:29.538569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e932bb69151b213915190055e37ede8210fa688d6e4ca72a3b36130da0b1cd40

Aliases

arxiv: 1808.07230 · arxiv_version: 1808.07230v1 · doi: 10.48550/arxiv.1808.07230 · pith_short_12: 5EZLW2IVDMQT · pith_short_16: 5EZLW2IVDMQTSFIZ · pith_short_8: 5EZLW2IV

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/5EZLW2IVDMQTSFIZABK6G7W6QI \
  | 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: e932bb69151b213915190055e37ede8210fa688d6e4ca72a3b36130da0b1cd40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f48c4688d35dae2da94d341820d3a6fb57c015f6fa7002e0c18335fcb7c8af4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-08-22T06:00:22Z",
    "title_canon_sha256": "7053e5ee9ab6caa3dc97ae09f52b360076c69eb51c85b0d4ed9f0b730ecaa08c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07230",
    "kind": "arxiv",
    "version": 1
  }
}