Pith Number

pith:FJ77H4ZB

pith:2010:FJ77H4ZBSTKN6FHJXJ3ZYCMPHP

not attested not anchored not stored refs pending

On duality and negative dimensions in the theory of Lie groups and symmetric spaces

Alexander P. Veselov, Ruben L. Mkrtchyan

arxiv:1011.0151 v1 · 2010-10-31 · math-ph · math.MP · 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{FJ77H4ZBSTKN6FHJXJ3ZYCMPHP}

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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.

Cited by

1 paper in Pith

Vogel's universality and Macdonald dimensions

Receipt and verification

First computed	2026-05-18T02:04:54.388240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a7ff3f32194d4df14e9ba779c098f3bdeaa3bf756f3429c3c474d5ebc8ee8f7

Aliases

arxiv: 1011.0151 · arxiv_version: 1011.0151v1 · doi: 10.48550/arxiv.1011.0151 · pith_short_12: FJ77H4ZBSTKN · pith_short_16: FJ77H4ZBSTKN6FHJ · pith_short_8: FJ77H4ZB

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/FJ77H4ZBSTKN6FHJXJ3ZYCMPHP \
  | 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: 2a7ff3f32194d4df14e9ba779c098f3bdeaa3bf756f3429c3c474d5ebc8ee8f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e134ef4e0df22e483ce585a2e2b0b50b2d9d4b9a47a3e3ea85b970959676694",
    "cross_cats_sorted": [
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-10-31T12:40:15Z",
    "title_canon_sha256": "b3dc474080ab7e07fb4a92c873822ae9268be4ba5ee0a1ee743b7fb4dc75cf0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0151",
    "kind": "arxiv",
    "version": 1
  }
}