Pith Number

pith:UWJSDCGL

pith:2011:UWJSDCGL5CLVKYPFAWRODGWCDR

not attested not anchored not stored refs pending

A semi-invertible operator Oseledets theorem

Anthony Quas, Cecilia Gonz\'alez-Tokman

arxiv:1105.5609 v2 · 2011-05-27 · 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{UWJSDCGL5CLVKYPFAWRODGWCDR}

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	2026-05-18T03:40:14.540888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5932188cbe8975561e505a2e19ac21c77efc71f90ac409322bd3ec1f6962de0

Aliases

arxiv: 1105.5609 · arxiv_version: 1105.5609v2 · doi: 10.48550/arxiv.1105.5609 · pith_short_12: UWJSDCGL5CLV · pith_short_16: UWJSDCGL5CLVKYPF · pith_short_8: UWJSDCGL

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/UWJSDCGL5CLVKYPFAWRODGWCDR \
  | 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: a5932188cbe8975561e505a2e19ac21c77efc71f90ac409322bd3ec1f6962de0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c88762f48926f428f17466dcf313ddd9df84edd3a2871cf0bf107913a2a6756c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-05-27T16:40:51Z",
    "title_canon_sha256": "0d8e150a8dbeed3bd2423448e256d5c3470665c1de0696baa86ee80f6591ed59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5609",
    "kind": "arxiv",
    "version": 2
  }
}