Pith Number

pith:VBTTMUS5

pith:2017:VBTTMUS5ZH3RHVB3ETYUCU55HW

not attested not anchored not stored refs pending

On Green functions for Dirichlet sub-Laplacians on H-type groups

Durvudkhan Suragan, Michael Ruzhansky, Nicola Garofalo

arxiv:1703.04324 v1 · 2017-03-13 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBTTMUS5ZH3RHVB3ETYUCU55HW}

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	2026-05-18T00:12:35.524758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a86736525dc9f713d43b24f14153bd3d898a14d3b519c19df0dcdffa5085a90a

Aliases

arxiv: 1703.04324 · arxiv_version: 1703.04324v1 · doi: 10.48550/arxiv.1703.04324 · pith_short_12: VBTTMUS5ZH3R · pith_short_16: VBTTMUS5ZH3RHVB3 · pith_short_8: VBTTMUS5

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/VBTTMUS5ZH3RHVB3ETYUCU55HW \
  | 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: a86736525dc9f713d43b24f14153bd3d898a14d3b519c19df0dcdffa5085a90a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "623839acad314f9e88e7ff9aeb6fea2809e4bccb063e5f670766299cff66f1d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-13T10:42:15Z",
    "title_canon_sha256": "121b4dad255531fe95d90b629e3bae3f7c1744d11c90d92d60392a16580ada06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.04324",
    "kind": "arxiv",
    "version": 1
  }
}