Pith Number

pith:RR6GCHVO

pith:2010:RR6GCHVO6PXEQZFC7DXGRZWK5E

not attested not anchored not stored refs pending

Casimir operators for symplectic groups

Kathrin Maurischat

arxiv:1011.4777 v1 · 2010-11-22 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RR6GCHVO6PXEQZFC7DXGRZWK5E}

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	2026-05-18T00:39:58.817824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c7c611eaef3ee4864a2f8ee68e6cae92bab4de4a74825654a36baa4170483a9

Aliases

arxiv: 1011.4777 · arxiv_version: 1011.4777v1 · doi: 10.48550/arxiv.1011.4777 · pith_short_12: RR6GCHVO6PXE · pith_short_16: RR6GCHVO6PXEQZFC · pith_short_8: RR6GCHVO

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/RR6GCHVO6PXEQZFC7DXGRZWK5E \
  | 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: 8c7c611eaef3ee4864a2f8ee68e6cae92bab4de4a74825654a36baa4170483a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbc6d2a04e4104088299564800fcd6d78a91f486fffd5adba8de7dd68af2b617",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-11-22T11:50:42Z",
    "title_canon_sha256": "ec80bfa2ed412fc5cee01d9df56d66378d9ebea00a74b54d19290cb8697c6e68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4777",
    "kind": "arxiv",
    "version": 1
  }
}