Pith Number

pith:CQRSQSPW

pith:2001:CQRSQSPWXFVBVR3KDABXK46FNY

not attested not anchored not stored refs pending

Combinatorics and invariant differential operators on multiplicity free spaces

Friedrich Knop

arxiv:math/0106079 v2 · 2001-06-11 · 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{CQRSQSPWXFVBVR3KDABXK46FNY}

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	2026-05-18T03:09:00.086535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14232849f6b96a1ac76a18037573c56e28b988b65cf32610938f1f33efd631e0

Aliases

arxiv: math/0106079 · arxiv_version: math/0106079v2 · doi: 10.48550/arxiv.math/0106079 · pith_short_12: CQRSQSPWXFVB · pith_short_16: CQRSQSPWXFVBVR3K · pith_short_8: CQRSQSPW

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/CQRSQSPWXFVBVR3KDABXK46FNY \
  | 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: 14232849f6b96a1ac76a18037573c56e28b988b65cf32610938f1f33efd631e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00b00daf309c248b8ffe541be23eeaf52154e48412f75f37299720083244a9d0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2001-06-11T12:31:58Z",
    "title_canon_sha256": "37f1be0be22c635eae9f90c8eeed0fbbd8373fabb92aaf9d4c2d15e73f64b9eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106079",
    "kind": "arxiv",
    "version": 2
  }
}