Pith Number

pith:VW6XO56L

pith:2011:VW6XO56L4KBOJHNQI23W6GCAE7

not attested not anchored not stored refs pending

First and higher order uniform dual ergodic theorems for dynamical systems with infinite measure

Dalia Terhesiu, Ian Melbourne

arxiv:1105.5085 v1 · 2011-05-25 · 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{VW6XO56L4KBOJHNQI23W6GCAE7}

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	2026-05-18T02:32:00.600723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adbd7777cbe282e49db046b76f184027c188ce924975682b7b849544b15ca494

Aliases

arxiv: 1105.5085 · arxiv_version: 1105.5085v1 · doi: 10.48550/arxiv.1105.5085 · pith_short_12: VW6XO56L4KBO · pith_short_16: VW6XO56L4KBOJHNQ · pith_short_8: VW6XO56L

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/VW6XO56L4KBOJHNQI23W6GCAE7 \
  | 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: adbd7777cbe282e49db046b76f184027c188ce924975682b7b849544b15ca494

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c15a75a0059e33710ba6cdb5fb7d757c1dd82e4b8f46b6a65873fbdeadeb1e4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-05-25T16:50:07Z",
    "title_canon_sha256": "1e5035c7779a6e6b71d72898ba13240521619be0fd52212ce540f87a9bd7c960"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5085",
    "kind": "arxiv",
    "version": 1
  }
}