Pith Number

pith:LKKC3MYA

pith:2018:LKKC3MYASS2STOK46FFC5YOACU

not attested not anchored not stored refs pending

Integrals in left coideal subalgebras and group-like projections

Alexandru Chirvasitu, Pawel Kasprzak, Piotr Szulim

arxiv:1808.01922 v3 · 2018-08-06 · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LKKC3MYASS2STOK46FFC5YOACU}

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	2026-05-17T23:49:27.611666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a942db30094b529b95cf14a2ee1c0150bd7e0bb8e4d3702a05c162b84f1a694

Aliases

arxiv: 1808.01922 · arxiv_version: 1808.01922v3 · doi: 10.48550/arxiv.1808.01922 · pith_short_12: LKKC3MYASS2S · pith_short_16: LKKC3MYASS2STOK4 · pith_short_8: LKKC3MYA

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/LKKC3MYASS2STOK46FFC5YOACU \
  | 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: 5a942db30094b529b95cf14a2ee1c0150bd7e0bb8e4d3702a05c162b84f1a694

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61a8c9750ba7f5a3f532f7ebb388cb1cfad3b1d05f781bfb2c7f5bbc9b6d682b",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-08-06T14:08:12Z",
    "title_canon_sha256": "67a92211a4625bfcaafa38cb6e2fe4b996fb01d48daeaa699f937ae93085be36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01922",
    "kind": "arxiv",
    "version": 3
  }
}