Pith Number

pith:Z2TVXNCE

pith:2008:Z2TVXNCEO2ZIXHJTKUMJL2QMMM

not attested not anchored not stored refs pending

Coherent structures and isolated spectrum for Perron-Frobenius cocycles

Anthony Quas, Gary Froyland, Simon Lloyd

arxiv:0804.1426 v1 · 2008-04-09 · 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{Z2TVXNCEO2ZIXHJTKUMJL2QMMM}

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	2026-05-18T04:28:45.880992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cea75bb44476b28b9d33551895ea0c630f950030e4bbacc8a59f5ddf68935e50

Aliases

arxiv: 0804.1426 · arxiv_version: 0804.1426v1 · doi: 10.48550/arxiv.0804.1426 · pith_short_12: Z2TVXNCEO2ZI · pith_short_16: Z2TVXNCEO2ZIXHJT · pith_short_8: Z2TVXNCE

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/Z2TVXNCEO2ZIXHJTKUMJL2QMMM \
  | 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: cea75bb44476b28b9d33551895ea0c630f950030e4bbacc8a59f5ddf68935e50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27577777598ed8bde22b2ab5afa88533bba60f07eb70ac00d8167cff97e9b80a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-04-09T07:36:18Z",
    "title_canon_sha256": "466f277e88c2f9bc19a4293eb2397ad3574c27c32dbab819abcdccf56e9abb95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.1426",
    "kind": "arxiv",
    "version": 1
  }
}