Pith Number

pith:MOYISFXE

pith:2015:MOYISFXEVS37MNHGB6WPKSS72V

not attested not anchored not stored refs pending

Koszul duality for semidirect products and generalized Takiff algebras

Jacob Greenstein, Volodymyr Mazorchuk

arxiv:1505.05471 v2 · 2015-05-20 · 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{MOYISFXEVS37MNHGB6WPKSS72V}

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	2026-05-18T00:19:47.951202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63b08916e4acb7f634e60facf54a5fd57d5bebc7a54b04cac6213be73e4c361e

Aliases

arxiv: 1505.05471 · arxiv_version: 1505.05471v2 · doi: 10.48550/arxiv.1505.05471 · pith_short_12: MOYISFXEVS37 · pith_short_16: MOYISFXEVS37MNHG · pith_short_8: MOYISFXE

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/MOYISFXEVS37MNHGB6WPKSS72V \
  | 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: 63b08916e4acb7f634e60facf54a5fd57d5bebc7a54b04cac6213be73e4c361e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "109f5fdcad0a71795fd582ac2d277af19cdddd1ded7a6c63fd99229623caabfd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-05-20T17:56:13Z",
    "title_canon_sha256": "889a2d4786daad37cd085cda6a14e7f678df35580b070377a8ba4092b8134ce2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05471",
    "kind": "arxiv",
    "version": 2
  }
}