Pith Number

pith:2MFFATQM

pith:2010:2MFFATQMPYKMRGZ6CEEMKVFTGM

not attested not anchored not stored refs pending

Discrete series representations and K multiplicities for U(p,q). User's guide

Michele Vergne, Velleda Baldoni

arxiv:1008.5360 v1 · 2010-08-31 · math.CO · 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{2MFFATQMPYKMRGZ6CEEMKVFTGM}

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	2026-05-18T04:41:36.096211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d30a504e0c7e14c89b3e1108c554b3332698dcb91e71b950cc366028d8a93ceb

Aliases

arxiv: 1008.5360 · arxiv_version: 1008.5360v1 · doi: 10.48550/arxiv.1008.5360 · pith_short_12: 2MFFATQMPYKM · pith_short_16: 2MFFATQMPYKMRGZ6 · pith_short_8: 2MFFATQM

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/2MFFATQMPYKMRGZ6CEEMKVFTGM \
  | 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: d30a504e0c7e14c89b3e1108c554b3332698dcb91e71b950cc366028d8a93ceb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99bf01aee437a6430e46e7d2bbb7708021ba53383bcf02e759f0471a806d33dd",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-08-31T16:50:20Z",
    "title_canon_sha256": "35c7f32424a5828acb4d9964687dffb9369eb3241a609c07768e1d24ceebd95d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.5360",
    "kind": "arxiv",
    "version": 1
  }
}