Pith Number

pith:FE75SMFG

pith:2013:FE75SMFGCODF4IT3IIKSOVZVGY

not attested not anchored not stored refs pending

Poincare-Birkhoff-Witt deformations of smash product algebras from Hopf actions on Koszul algebras

Chelsea Walton, Sarah Witherspoon

arxiv:1308.6011 v4 · 2013-08-27 · math.RA · math.QA · 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{FE75SMFGCODF4IT3IIKSOVZVGY}

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	2026-05-18T00:45:27.142949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

293fd930a613865e227b42152757353621ecb076f439b53d82039f1c1f387a9a

Aliases

arxiv: 1308.6011 · arxiv_version: 1308.6011v4 · doi: 10.48550/arxiv.1308.6011 · pith_short_12: FE75SMFGCODF · pith_short_16: FE75SMFGCODF4IT3 · pith_short_8: FE75SMFG

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/FE75SMFGCODF4IT3IIKSOVZVGY \
  | 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: 293fd930a613865e227b42152757353621ecb076f439b53d82039f1c1f387a9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36825d7f371fc8ea9cc3d01fd18c0a9053f61728a89836c0c1ef5abd1ff746d5",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-08-27T23:20:38Z",
    "title_canon_sha256": "5bfc2366f0edf3448a620c006b3427ed6dbaddcdcb4f24b9a7a37265c8075271"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6011",
    "kind": "arxiv",
    "version": 4
  }
}