Pith Number

pith:PTD4DWAW

pith:2021:PTD4DWAWG3OB4D5ZCVARYZAVCV

not attested not anchored not stored refs pending

Multiplicity-free representations of algebraic groups

Donna M. Testerman, Gary M. Seitz, Martin W. Liebeck

arxiv:2101.04476 v2 · 2021-01-12 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTD4DWAWG3OB4D5ZCVARYZAVCV}

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	2026-07-05T03:13:48.725792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cc7c1d81636dc1e0fb915411c6415156187ac4dd3fcbcbe5b3f8710c5438c7d

Aliases

arxiv: 2101.04476 · arxiv_version: 2101.04476v2 · doi: 10.48550/arxiv.2101.04476 · pith_short_12: PTD4DWAWG3OB · pith_short_16: PTD4DWAWG3OB4D5Z · pith_short_8: PTD4DWAW

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/PTD4DWAWG3OB4D5ZCVARYZAVCV \
  | 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: 7cc7c1d81636dc1e0fb915411c6415156187ac4dd3fcbcbe5b3f8710c5438c7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84643372416a6672123cf65e213c2e92d78725fa948f92a1275dd812a7bd56be",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2021-01-12T13:45:38Z",
    "title_canon_sha256": "79a0ee948e8fbe7a1ab4361d0d4247c0d7284f189d0a0b57c6782425fc91cf79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.04476",
    "kind": "arxiv",
    "version": 2
  }
}