Pith Number

pith:MOMR23K5

pith:2009:MOMR23K5U7VRSSC7THLQRQWFAI

not attested not anchored not stored refs pending

Orbits in real $\Z_m$-graded semisimple Lie algebras

Hong Van Le

arxiv:0905.2939 v5 · 2009-05-18 · math.RT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MOMR23K5U7VRSSC7THLQRQWFAI}

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	2026-05-18T02:43:59.591826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63991d6d5da7eb19485f99d708c2c50206b818a3686f4b50e96970bc8bdd5783

Aliases

arxiv: 0905.2939 · arxiv_version: 0905.2939v5 · doi: 10.48550/arxiv.0905.2939 · pith_short_12: MOMR23K5U7VR · pith_short_16: MOMR23K5U7VRSSC7 · pith_short_8: MOMR23K5

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/MOMR23K5U7VRSSC7THLQRQWFAI \
  | 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: 63991d6d5da7eb19485f99d708c2c50206b818a3686f4b50e96970bc8bdd5783

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "514fdf03ccd6d045a5b9632a8011b6a003029dac336dc9be4d1728290da023ab",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-05-18T17:33:44Z",
    "title_canon_sha256": "49d10b84c0b7d0c0931a01c412bb680529db470b12c00175748ead7f4f55f026"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2939",
    "kind": "arxiv",
    "version": 5
  }
}