Pith Number

pith:2KJD6XT5

pith:2012:2KJD6XT5L7X6ZDJMYB5NQXBXUX

not attested not anchored not stored refs pending

Equilibrium States and SRB-like measures of C1 Expanding Maps of the Circle

Eleonora Catsigeras, Heber Enrich

arxiv:1202.6584 v2 · 2012-02-29 · 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{2KJD6XT5L7X6ZDJMYB5NQXBXUX}

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	2026-05-18T03:43:52.548848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2923f5e7d5fefec8d2cc07ad85c37a5fa47112fe78aa7bf2b51158ac085c026

Aliases

arxiv: 1202.6584 · arxiv_version: 1202.6584v2 · doi: 10.48550/arxiv.1202.6584 · pith_short_12: 2KJD6XT5L7X6 · pith_short_16: 2KJD6XT5L7X6ZDJM · pith_short_8: 2KJD6XT5

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/2KJD6XT5L7X6ZDJMYB5NQXBXUX \
  | 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: d2923f5e7d5fefec8d2cc07ad85c37a5fa47112fe78aa7bf2b51158ac085c026

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9f281943f24934d9e3d8b929391b1b05636b7efbef803f58965f85b7ebd2f53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-02-29T16:00:29Z",
    "title_canon_sha256": "115e43dff3ba36bf7cb257fda32394f6466d2cda4da8e877b98f8a3fafbffc39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6584",
    "kind": "arxiv",
    "version": 2
  }
}