Pith Number

pith:JOBOSS7D

pith:2011:JOBOSS7DLMZ3OZGYGZAUPQZBZU

not attested not anchored not stored refs pending

Quasi-invariance for heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg groups

Fabrice Baudoin, Maria Gordina, Tai Melcher

arxiv:1108.1527 v1 · 2011-08-07 · math.PR · math.DG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOBOSS7DLMZ3OZGYGZAUPQZBZU}

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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	2026-05-18T04:16:00.804969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b82e94be35b33b764d8364147c321cd07d4dbb379f4bb7bf375480591311168

Aliases

arxiv: 1108.1527 · arxiv_version: 1108.1527v1 · doi: 10.48550/arxiv.1108.1527 · pith_short_12: JOBOSS7DLMZ3 · pith_short_16: JOBOSS7DLMZ3OZGY · pith_short_8: JOBOSS7D

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/JOBOSS7DLMZ3OZGYGZAUPQZBZU \
  | 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: 4b82e94be35b33b764d8364147c321cd07d4dbb379f4bb7bf375480591311168

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6527ad8ed7559e0fbae6389847b5d148fe0a2197a6320d30ee618f17f3b3bd8a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-07T05:06:57Z",
    "title_canon_sha256": "96611dc07667dc102a2bbf32c366c9a29c19d99bfc29fb470c91ff3515b6283b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1527",
    "kind": "arxiv",
    "version": 1
  }
}