Pith Number

pith:OK3S5MCJ

pith:2012:OK3S5MCJBRHMPYKWUIMNB77M7C

not attested not anchored not stored refs pending

Smoothness of Heat Kernel Measures on Infinite-Dimensional Heisenberg-Like Groups

Daniel Dobbs, Tai Melcher

arxiv:1209.5112 v2 · 2012-09-23 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OK3S5MCJBRHMPYKWUIMNB77M7C}

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	2026-05-18T03:19:45.975918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72b72eb0490c4ec7e156a218d0ffecf8bd4058a807092037febd8c362bf3d162

Aliases

arxiv: 1209.5112 · arxiv_version: 1209.5112v2 · doi: 10.48550/arxiv.1209.5112 · pith_short_12: OK3S5MCJBRHM · pith_short_16: OK3S5MCJBRHMPYKW · pith_short_8: OK3S5MCJ

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/OK3S5MCJBRHMPYKWUIMNB77M7C \
  | 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: 72b72eb0490c4ec7e156a218d0ffecf8bd4058a807092037febd8c362bf3d162

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1516dd58f611b263b23212bfc43546d5f49cfeb7129246407f3d9a126796e4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-23T21:04:24Z",
    "title_canon_sha256": "64ae02c5fbcff1180e407002ca3794ce66b19b7f83cd7556af24a2d026c0adfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5112",
    "kind": "arxiv",
    "version": 2
  }
}