Pith Number

pith:UQHKRIYR

pith:2011:UQHKRIYRC2W2L5PEX42V7ZRF45

not attested not anchored not stored refs pending

Pseudo Differential Operators and Markov Semigroups on Compact Lie Groups

David Applebaum

arxiv:1101.5030 v1 · 2011-01-26 · 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{UQHKRIYRC2W2L5PEX42V7ZRF45}

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	2026-05-18T04:30:46.981349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a40ea8a31116ada5f5e4bf355fe625e76f484a16b8807b85de2aad19eacca9fa

Aliases

arxiv: 1101.5030 · arxiv_version: 1101.5030v1 · doi: 10.48550/arxiv.1101.5030 · pith_short_12: UQHKRIYRC2W2 · pith_short_16: UQHKRIYRC2W2L5PE · pith_short_8: UQHKRIYR

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/UQHKRIYRC2W2L5PEX42V7ZRF45 \
  | 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: a40ea8a31116ada5f5e4bf355fe625e76f484a16b8807b85de2aad19eacca9fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93e0f6769c62cbf0d291e97f59c81b96ed5bb793b192b862cbc6bfc4f87b8cff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-26T11:29:30Z",
    "title_canon_sha256": "f14bff854b2a5b4351b33b6e62e92ec187943a77eb5996d0f4e52e2ba21ca7b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5030",
    "kind": "arxiv",
    "version": 1
  }
}