Pith Number

pith:P7BKUPPA

pith:2022:P7BKUPPAZ3CANKL2OLNNRS377W

not attested not anchored not stored refs pending

Cram\'er distance and discretizations of circle expanding maps II: simulations

Maurizio Monge, Pierre-Antoine Guih\'eneuf

arxiv:2206.08000 v4 · 2022-06-16 · 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{P7BKUPPAZ3CANKL2OLNNRS377W}

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	2026-07-05T06:03:24.272894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fc2aa3de0cec406a97a72dad8cb7ffdafb448d71cc72ec75d38850ce5cf0409

Aliases

arxiv: 2206.08000 · arxiv_version: 2206.08000v4 · doi: 10.48550/arxiv.2206.08000 · pith_short_12: P7BKUPPAZ3CA · pith_short_16: P7BKUPPAZ3CANKL2 · pith_short_8: P7BKUPPA

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/P7BKUPPAZ3CANKL2OLNNRS377W \
  | 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: 7fc2aa3de0cec406a97a72dad8cb7ffdafb448d71cc72ec75d38850ce5cf0409

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b34e77ad1a013389236fee0819a72e4c221886aebe3df300e22120674fd4ea8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-06-16T08:42:55Z",
    "title_canon_sha256": "7a41efad4966683d9e391191f17fefaae3e76d5aa935027d1ec6a4caa8528633"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.08000",
    "kind": "arxiv",
    "version": 4
  }
}