Pith Number

pith:HQQDHPZO

pith:2011:HQQDHPZOD2LPNDLHEZHNAP6IKM

not attested not anchored not stored refs pending

Highest weight vectors for the adjoint action of GL_n on polynomials

Rudolf Tange

arxiv:1102.0310 v3 · 2011-02-01 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQQDHPZOD2LPNDLHEZHNAP6IKM}

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	2026-05-18T04:01:23.789817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c2033bf2e1e96f68d67264ed03fc85325e286175d3698e816b7d84036db76f7

Aliases

arxiv: 1102.0310 · arxiv_version: 1102.0310v3 · doi: 10.48550/arxiv.1102.0310 · pith_short_12: HQQDHPZOD2LP · pith_short_16: HQQDHPZOD2LPNDLH · pith_short_8: HQQDHPZO

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/HQQDHPZOD2LPNDLHEZHNAP6IKM \
  | 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: 3c2033bf2e1e96f68d67264ed03fc85325e286175d3698e816b7d84036db76f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ba56aa790a71548a957b430e891bb8d20d3f593365e9ab0e40cebbea1467c7b",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-02-01T22:12:26Z",
    "title_canon_sha256": "0ceb0f6d1e8ba2506099dd47459a5fbba2b98da471fcb7b5619140bf8d933aeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0310",
    "kind": "arxiv",
    "version": 3
  }
}