Pith Number

pith:XDGR7DK4

pith:2017:XDGR7DK4FZKLSSY3QFVWSUU4WV

not attested not anchored not stored refs pending

Takiff algebras with polynomial rings of symmetric invariants

Dmitri Panyushev, Oksana Yakimova

arxiv:1710.03180 v1 · 2017-10-09 · 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{XDGR7DK4FZKLSSY3QFVWSUU4WV}

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	2026-05-18T00:33:26.827462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8cd1f8d5c2e54b94b1b816b69529cb56dfef1b188147d0001ac693997000a9a

Aliases

arxiv: 1710.03180 · arxiv_version: 1710.03180v1 · doi: 10.48550/arxiv.1710.03180 · pith_short_12: XDGR7DK4FZKL · pith_short_16: XDGR7DK4FZKLSSY3 · pith_short_8: XDGR7DK4

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/XDGR7DK4FZKLSSY3QFVWSUU4WV \
  | 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: b8cd1f8d5c2e54b94b1b816b69529cb56dfef1b188147d0001ac693997000a9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f443a0db63e6a3b1e0b228d7094f164683bd558b9fa441d4d089af51d0d3595",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-10-09T16:28:40Z",
    "title_canon_sha256": "1042377c972b7b3f7bf865e50452c395098a68cf366c7ad22ab90d9b3b539d83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03180",
    "kind": "arxiv",
    "version": 1
  }
}