Pith Number

pith:LGHIZGA6

pith:2011:LGHIZGA6PQVRIQRHJUDXIDZU3Y

not attested not anchored not stored refs pending

On differentiability of vectors in Lie group representations

Daniel Beltita, Ingrid Beltita

arxiv:1102.3657 v2 · 2011-02-17 · math.RT · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGHIZGA6PQVRIQRHJUDXIDZU3Y}

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	2026-05-18T04:27:35.490126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

598e8c981e7c2b1442274d07740f34de3a683ba64c500393145e51a242f1ae05

Aliases

arxiv: 1102.3657 · arxiv_version: 1102.3657v2 · doi: 10.48550/arxiv.1102.3657 · pith_short_12: LGHIZGA6PQVR · pith_short_16: LGHIZGA6PQVRIQRH · pith_short_8: LGHIZGA6

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/LGHIZGA6PQVRIQRHJUDXIDZU3Y \
  | 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: 598e8c981e7c2b1442274d07740f34de3a683ba64c500393145e51a242f1ae05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbb11a89f54a00934337ea5cbe59a74476bcc9718d2ac6bd20b29b5efc437b68",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-02-17T18:40:20Z",
    "title_canon_sha256": "c2591c35374870c8ad9d89967854241ba0ac97e0697d3358ef46ac9af1ba429b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3657",
    "kind": "arxiv",
    "version": 2
  }
}