Pith Number

pith:BGGTI6C7

pith:2017:BGGTI6C7SFI73MIL7O3IE7RAJY

not attested not anchored not stored refs pending

An ergodic theorem for non-singular actions of the Heisenberg groups

Kieran Jarrett

arxiv:1702.04157 v1 · 2017-02-14 · math.DS · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BGGTI6C7SFI73MIL7O3IE7RAJY}

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	2026-05-18T00:50:48.916645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

098d34785f9151fdb10bfbb6827e204e1ee98c6433146da6218c565c5dafeca4

Aliases

arxiv: 1702.04157 · arxiv_version: 1702.04157v1 · doi: 10.48550/arxiv.1702.04157 · pith_short_12: BGGTI6C7SFI7 · pith_short_16: BGGTI6C7SFI73MIL · pith_short_8: BGGTI6C7

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/BGGTI6C7SFI73MIL7O3IE7RAJY \
  | 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: 098d34785f9151fdb10bfbb6827e204e1ee98c6433146da6218c565c5dafeca4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22c132035afe72e0b367ad10ace3175bf8269baf228cdb229304aea98faffb4f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-02-14T11:21:24Z",
    "title_canon_sha256": "b33e6bcb6a255ac2726e24defeab0140e07d92a8804ef79539c513d25cf61b5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04157",
    "kind": "arxiv",
    "version": 1
  }
}