Pith Number

pith:TMI5FEKI

pith:2011:TMI5FEKIV5LAAPL64C6F3YCSHE

not attested not anchored not stored refs pending

On orbit spaces of representations of compact Lie groups

Alexander Lytchak, Claudio Gorodski

arxiv:1109.1739 v2 · 2011-09-08 · math.DG · math.MG · 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{TMI5FEKIV5LAAPL64C6F3YCSHE}

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	2026-05-18T03:36:46.702212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b11d29148af56003d7ee0bc5de052390a93053df17331e7e6d5c3b18559e39b

Aliases

arxiv: 1109.1739 · arxiv_version: 1109.1739v2 · doi: 10.48550/arxiv.1109.1739 · pith_short_12: TMI5FEKIV5LA · pith_short_16: TMI5FEKIV5LAAPL6 · pith_short_8: TMI5FEKI

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/TMI5FEKIV5LAAPL64C6F3YCSHE \
  | 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: 9b11d29148af56003d7ee0bc5de052390a93053df17331e7e6d5c3b18559e39b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9df925e16651f984f05bc841b5b5400d0b744edd0a7c3e16c16914201b3489a6",
    "cross_cats_sorted": [
      "math.MG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-08T15:08:25Z",
    "title_canon_sha256": "3608efa5b907a21c6f2b7634ebfdf3dd74c7cc037878a73d5dc4d78ca4f2e29c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1739",
    "kind": "arxiv",
    "version": 2
  }
}