Pith Number

pith:AQ5JPMBD

pith:2017:AQ5JPMBDRYSG5EYPGNJAJDWMB2

not attested not anchored not stored refs pending

Representations of the Lie algebra of vector fields on a sphere

Jonathan Nilsson, Yuly Billig

arxiv:1705.06685 v2 · 2017-05-18 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQ5JPMBDRYSG5EYPGNJAJDWMB2}

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	2026-05-18T00:40:39.975262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

043a97b0238e246e930f3352048ecc0eb640403dbecd82073ca57f8356ba4582

Aliases

arxiv: 1705.06685 · arxiv_version: 1705.06685v2 · doi: 10.48550/arxiv.1705.06685 · pith_short_12: AQ5JPMBDRYSG · pith_short_16: AQ5JPMBDRYSG5EYP · pith_short_8: AQ5JPMBD

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/AQ5JPMBDRYSG5EYPGNJAJDWMB2 \
  | 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: 043a97b0238e246e930f3352048ecc0eb640403dbecd82073ca57f8356ba4582

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "903a42abce05a06eb1d6a0bb8633ec2ab4da2b5bc836a55016a0e5856301e047",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-05-18T16:41:42Z",
    "title_canon_sha256": "a1f80ae1471ae18767e4e85ba23f8111fcc01c273a5b5324ea391a2405967cb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06685",
    "kind": "arxiv",
    "version": 2
  }
}