Pith Number

pith:KUEEIOGG

pith:2012:KUEEIOGGEBRL2OQNSIKGF2SY6Q

not attested not anchored not stored refs pending

The subelliptic heat kernel on the three dimensional solvable Lie groups

Fabrice Baudoin, Matthew Cecil

arxiv:1212.3014 v1 · 2012-12-12 · math.DG · 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{KUEEIOGGEBRL2OQNSIKGF2SY6Q}

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	2026-05-18T03:38:33.943975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55084438c62062bd3a0d921462ea58f4035e5b1855212268f859d6e938a239af

Aliases

arxiv: 1212.3014 · arxiv_version: 1212.3014v1 · doi: 10.48550/arxiv.1212.3014 · pith_short_12: KUEEIOGGEBRL · pith_short_16: KUEEIOGGEBRL2OQN · pith_short_8: KUEEIOGG

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/KUEEIOGGEBRL2OQNSIKGF2SY6Q \
  | 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: 55084438c62062bd3a0d921462ea58f4035e5b1855212268f859d6e938a239af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c9b0d89f583512da16d48872d8497074b4aedf682abbbec3cfb363142d25acb",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-12-12T23:33:01Z",
    "title_canon_sha256": "c71ceb22fc5a18974d7be39652d64e7a31145b2211f9379f48d8f7535a66454d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3014",
    "kind": "arxiv",
    "version": 1
  }
}