Pith Number

pith:UDDT6RG4

pith:2011:UDDT6RG43YP63G2LZXFZDALZGE

not attested not anchored not stored refs pending

Twisted strong Macdonald theorems and adjoint orbits

William Slofstra

arxiv:1105.2971 v2 · 2011-05-15 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UDDT6RG43YP63G2LZXFZDALZGE}

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	2026-05-18T02:26:01.386542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0c73f44dcde1fed9b4bcdcb9181793132f258be96994e3772bb868321f35888

Aliases

arxiv: 1105.2971 · arxiv_version: 1105.2971v2 · doi: 10.48550/arxiv.1105.2971 · pith_short_12: UDDT6RG43YP6 · pith_short_16: UDDT6RG43YP63G2L · pith_short_8: UDDT6RG4

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/UDDT6RG43YP63G2LZXFZDALZGE \
  | 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: a0c73f44dcde1fed9b4bcdcb9181793132f258be96994e3772bb868321f35888

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "248cf0f423e6cb34c5900b05b4cb4c7f285951b560240281495297bd0f8b0549",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-05-15T21:44:37Z",
    "title_canon_sha256": "b3e3cf943bfd51638ad7acc4f00ee86e5116fa69198221b748c32ffaaa0a9b77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2971",
    "kind": "arxiv",
    "version": 2
  }
}