Pith Number

pith:YTWHO5WO

pith:2013:YTWHO5WODMEKSFJJRIKLZURSYB

not attested not anchored not stored refs pending

A universal formula for the volume of compact Lie groups

A.P. Veselov, R.L. Mkrtchyan

arxiv:1304.3031 v1 · 2013-04-10 · math.GR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YTWHO5WODMEKSFJJRIKLZURSYB}

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	2026-05-18T03:28:20.080242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4ec7776ce1b08a915298a14bcd232c06e70538676145832c4b175dc107479ab

Aliases

arxiv: 1304.3031 · arxiv_version: 1304.3031v1 · doi: 10.48550/arxiv.1304.3031 · pith_short_12: YTWHO5WODMEK · pith_short_16: YTWHO5WODMEKSFJJ · pith_short_8: YTWHO5WO

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/YTWHO5WODMEKSFJJRIKLZURSYB \
  | 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: c4ec7776ce1b08a915298a14bcd232c06e70538676145832c4b175dc107479ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6d86f5b16e13153e437b4b827544f88abaceede6dfe8dc2aba188556fb2e027",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-04-10T17:37:37Z",
    "title_canon_sha256": "ecc8f32e305dfe045cd47f7e9934175089d904419de5c4bfbe9044a8f6eb63f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3031",
    "kind": "arxiv",
    "version": 1
  }
}