Pith Number

pith:HB7A76CU

pith:2010:HB7A76CUKUKSXZC2JLGMOAYJRC

not attested not anchored not stored refs pending

Symmetric quivers, invariant theory, and saturation theorems for the classical groups

Steven V Sam

arxiv:1009.3040 v2 · 2010-09-15 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HB7A76CUKUKSXZC2JLGMOAYJRC}

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	2026-05-18T04:07:52.713770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

387e0ff85455152be45a4accc7030988839d06fac2328a8c5937e9de48dbf0f2

Aliases

arxiv: 1009.3040 · arxiv_version: 1009.3040v2 · doi: 10.48550/arxiv.1009.3040 · pith_short_12: HB7A76CUKUKS · pith_short_16: HB7A76CUKUKSXZC2 · pith_short_8: HB7A76CU

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/HB7A76CUKUKSXZC2JLGMOAYJRC \
  | 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: 387e0ff85455152be45a4accc7030988839d06fac2328a8c5937e9de48dbf0f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a61e9ab5887ac2f1d9a59311c5c858b5efaa5b2ae3f3b291ace785c74f99bea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-09-15T21:07:29Z",
    "title_canon_sha256": "05ad5f489f8f8699263901db2dc62dff1445f7779ea05241f3a61afe2a8f780f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3040",
    "kind": "arxiv",
    "version": 2
  }
}