Pith Number

pith:VF6ZMPEW

pith:2012:VF6ZMPEWNLARYLNZ33CTSXVRGJ

not attested not anchored not stored refs pending

On Rationally Ergodic and Rationally Weakly Mixing Rank-One Transformations

Cesar E. Silva, Irving Dai, Tudor P\u{a}durariu, Xavier Garcia

arxiv:1208.3161 v2 · 2012-08-15 · 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{VF6ZMPEWNLARYLNZ33CTSXVRGJ}

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	2026-05-18T02:04:11.685920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a97d963c966ac11c2db9dec5395eb13248640cd8c5295f8762af6e4414dd6298

Aliases

arxiv: 1208.3161 · arxiv_version: 1208.3161v2 · doi: 10.48550/arxiv.1208.3161 · pith_short_12: VF6ZMPEWNLAR · pith_short_16: VF6ZMPEWNLARYLNZ · pith_short_8: VF6ZMPEW

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/VF6ZMPEWNLARYLNZ33CTSXVRGJ \
  | 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: a97d963c966ac11c2db9dec5395eb13248640cd8c5295f8762af6e4414dd6298

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c101618fb1dc7582bd6e564b78fbc35358b9e81e409ed31fafe38fbf80d1fdc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-08-15T17:20:12Z",
    "title_canon_sha256": "3fce604f349244a19be9314bbdf7858efdcbdf0f1cc2587907cc0c4342ebd0ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3161",
    "kind": "arxiv",
    "version": 2
  }
}