Pith Number

pith:H44WQYCN

pith:2022:H44WQYCNHN2VURODY2UW6ZPOLD

not attested not anchored not stored refs pending

Multigraded Hilbert series of invariants, covariants, and symplectic quotients for some rank $1$ Lie groups

Austin Barringer, Christopher Seaton, Daniel Herden, Hans-Christian Herbig, Lawton Walker, Saad Khalid

arxiv:2201.10414 v2 · 2022-01-25 · math.RA · math.AC · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H44WQYCNHN2VURODY2UW6ZPOLD}

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	2026-07-05T07:43:29.041244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f3968604d3b755a45c3c6a96f65ee58ec4b0581c3466624ce69013ebbb2d59c

Aliases

arxiv: 2201.10414 · arxiv_version: 2201.10414v2 · doi: 10.48550/arxiv.2201.10414 · pith_short_12: H44WQYCNHN2V · pith_short_16: H44WQYCNHN2VUROD · pith_short_8: H44WQYCN

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/H44WQYCNHN2VURODY2UW6ZPOLD \
  | 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: 3f3968604d3b755a45c3c6a96f65ee58ec4b0581c3466624ce69013ebbb2d59c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f4d728732fdcf492f3f445d4bc8807d3987d758cd7ec45bdc6740704161ec01",
    "cross_cats_sorted": [
      "math.AC",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2022-01-25T16:01:17Z",
    "title_canon_sha256": "79969786a92394e6a0def05008149deece1f8fcfa3a77040a10fdaf0686052ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.10414",
    "kind": "arxiv",
    "version": 2
  }
}