Pith Number

pith:5KOTRFTI

pith:2012:5KOTRFTIQHSO24LMDONBI5UJEC

not attested not anchored not stored refs pending

Square roots of perturbed subelliptic operators on Lie groups

A. F. M. ter Elst, Alan McIntosh, Lashi Bandara

arxiv:1204.5236 v2 · 2012-04-23 · 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{5KOTRFTIQHSO24LMDONBI5UJEC}

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	2026-05-18T01:19:31.136633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea9d38966881e4ed716c1b9a14768920a2069dc1277265fce6d31774b266c1d9

Aliases

arxiv: 1204.5236 · arxiv_version: 1204.5236v2 · doi: 10.48550/arxiv.1204.5236 · pith_short_12: 5KOTRFTIQHSO · pith_short_16: 5KOTRFTIQHSO24LM · pith_short_8: 5KOTRFTI

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/5KOTRFTIQHSO24LMDONBI5UJEC \
  | 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: ea9d38966881e4ed716c1b9a14768920a2069dc1277265fce6d31774b266c1d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88e357f05db7c7ddddb46812964ea5bdc3e42046e5696d5fc866b8dbdffaa9eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-23T23:52:27Z",
    "title_canon_sha256": "06ca418969d510502dd655a3ed17ddfe73342c0da5b8b09e043dfdb9ca04c577"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5236",
    "kind": "arxiv",
    "version": 2
  }
}