Pith Number

pith:44TZHZYX

pith:2016:44TZHZYXGFJX5LSYFOHUU576B7

not attested not anchored not stored refs pending

Unique ergodicity of asynchronous rotations, and application

Fran\c{c}ois Maucourant (IRMAR)

arxiv:1609.04581 v2 · 2016-09-15 · 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{44TZHZYXGFJX5LSYFOHUU576B7}

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	2026-05-18T00:53:17.256137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e72793e71731537eae582b8f4a77fe0fdc6e233129450b21517c9f97052ff226

Aliases

arxiv: 1609.04581 · arxiv_version: 1609.04581v2 · doi: 10.48550/arxiv.1609.04581 · pith_short_12: 44TZHZYXGFJX · pith_short_16: 44TZHZYXGFJX5LSY · pith_short_8: 44TZHZYX

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/44TZHZYXGFJX5LSYFOHUU576B7 \
  | 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: e72793e71731537eae582b8f4a77fe0fdc6e233129450b21517c9f97052ff226

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abc31ef5777b4ef9f070c7186cce5a00d763b9a87889a478a1fff1b051cc0ce8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-09-15T11:47:58Z",
    "title_canon_sha256": "8866f0d9bd0f1da5de49626ad23765ae7c44d8d2924e82967ec59d85a02cfe41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04581",
    "kind": "arxiv",
    "version": 2
  }
}