Pith Number

pith:D7L44ANX

pith:2018:D7L44ANXOLITK365KYC6G4CCP6

not attested not anchored not stored refs pending

Categorified groupoid-sets and their Burnside ring

Laiachi El Kaoutit, Leonardo Spinosa

arxiv:1811.11966 v2 · 2018-11-29 · math.GR · math.AC · math.CT · 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{D7L44ANXOLITK365KYC6G4CCP6}

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	2026-05-17T23:43:17.107285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fd7ce01b772d1356fdd5605e370427f9e1e8a4854310b1ea38a2eacf24ca70f

Aliases

arxiv: 1811.11966 · arxiv_version: 1811.11966v2 · doi: 10.48550/arxiv.1811.11966 · pith_short_12: D7L44ANXOLIT · pith_short_16: D7L44ANXOLITK365 · pith_short_8: D7L44ANX

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/D7L44ANXOLITK365KYC6G4CCP6 \
  | 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: 1fd7ce01b772d1356fdd5605e370427f9e1e8a4854310b1ea38a2eacf24ca70f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ad4c7dfdc655a3e249b479cd6e237b370549aff2ed3da996666a0552e9a289f",
    "cross_cats_sorted": [
      "math.AC",
      "math.CT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-11-29T04:58:21Z",
    "title_canon_sha256": "f0effee3acbc5c26ffc1015bf2d56d1846b7f4086b9c60251d65bccf34695eca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11966",
    "kind": "arxiv",
    "version": 2
  }
}