Pith Number

pith:I54UJ3HI

pith:2010:I54UJ3HI5MDJMLY234JSFMWJAO

not attested not anchored not stored refs pending

Orthogonal subsets of root systems and the orbit method

Mikhail V. Ignatyev

arxiv:1007.5220 v3 · 2010-07-29 · 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{I54UJ3HI5MDJMLY234JSFMWJAO}

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	2026-05-18T03:10:37.755165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

477944ece8eb06962f1adf1322b2c903905a746f0a8f4df8bc0a1eec05285b02

Aliases

arxiv: 1007.5220 · arxiv_version: 1007.5220v3 · doi: 10.48550/arxiv.1007.5220 · pith_short_12: I54UJ3HI5MDJ · pith_short_16: I54UJ3HI5MDJMLY2 · pith_short_8: I54UJ3HI

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/I54UJ3HI5MDJMLY234JSFMWJAO \
  | 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: 477944ece8eb06962f1adf1322b2c903905a746f0a8f4df8bc0a1eec05285b02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee97ab3d50ec1cae130e5e25711d2f2b37688ee2dd836c346077d79f862bc90e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-07-29T14:06:22Z",
    "title_canon_sha256": "d2a7359c01c7e6f4c944e4ef4ad1d862234327749f4b76b7b2cd65c08b470142"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5220",
    "kind": "arxiv",
    "version": 3
  }
}