Pith Number

pith:BWWNR4S6

pith:2022:BWWNR4S6XFHLKAMATTTPXF4BMZ

not attested not anchored not stored refs pending

Cram\'er distance and discretizations of circle expanding maps I: theory

Maurizio Monge, Pierre-Antoine Guih\'eneuf

arxiv:2206.07991 v3 · 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{BWWNR4S6XFHLKAMATTTPXF4BMZ}

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	2026-07-05T06:38:25.851017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dacd8f25eb94eb501809ce6fb9781666b386cb1c248d7aba3ea1ccec507b86c

Aliases

arxiv: 2206.07991 · arxiv_version: 2206.07991v3 · doi: 10.48550/arxiv.2206.07991 · pith_short_12: BWWNR4S6XFHL · pith_short_16: BWWNR4S6XFHLKAMA · pith_short_8: BWWNR4S6

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/BWWNR4S6XFHLKAMATTTPXF4BMZ \
  | 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: 0dacd8f25eb94eb501809ce6fb9781666b386cb1c248d7aba3ea1ccec507b86c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f7448c26b95bcb7d328d7d4afe2c4d9d6e8e8aa902d1bcff08022944d1d5d19",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-06-16T08:07:14Z",
    "title_canon_sha256": "77b2f1c82f0c2a996e4bd6717720623423a89aa904defff98c673576b5a27a1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.07991",
    "kind": "arxiv",
    "version": 3
  }
}