Pith Number

pith:KOL7NHAW

pith:2013:KOL7NHAWWJ72G6P6GRS3PXL2ZW

not attested not anchored not stored refs pending

Contribution to the ergodic theory of robustly transitive maps

Cristina Lizana, Paulo Varandas, Vilton Pinheiro

arxiv:1302.3194 v2 · 2013-02-13 · 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{KOL7NHAWWJ72G6P6GRS3PXL2ZW}

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	2026-05-18T03:01:10.883741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5397f69c16b27fa379fe3465b7dd7acd8e28ff1410f4b0a01907ec004f4a3a17

Aliases

arxiv: 1302.3194 · arxiv_version: 1302.3194v2 · doi: 10.48550/arxiv.1302.3194 · pith_short_12: KOL7NHAWWJ72 · pith_short_16: KOL7NHAWWJ72G6P6 · pith_short_8: KOL7NHAW

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/KOL7NHAWWJ72G6P6GRS3PXL2ZW \
  | 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: 5397f69c16b27fa379fe3465b7dd7acd8e28ff1410f4b0a01907ec004f4a3a17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e31d680af075ad73f4b124c6be3bc7155599d283af4397d4d6471d575da0b234",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-02-13T19:25:32Z",
    "title_canon_sha256": "9411b12054964f3239c5c2dad98f1c0b0941360f33883b830756ed1c50e52105"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3194",
    "kind": "arxiv",
    "version": 2
  }
}