Pith Number

pith:4KFMOGCI

pith:2023:4KFMOGCIEQLOGKDWGC45F4Z4XO

not attested not anchored not stored refs pending

Categorifying reduced rings

Ishan Levy

arxiv:2303.00263 v2 · 2023-03-01 · math.KT · 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{4KFMOGCIEQLOGKDWGC45F4Z4XO}

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	2026-07-05T09:51:27.825982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e28ac718482416e3287630b9d2f33cbba09360107b787e3d3dc5fd582a83ea58

Aliases

arxiv: 2303.00263 · arxiv_version: 2303.00263v2 · doi: 10.48550/arxiv.2303.00263 · pith_short_12: 4KFMOGCIEQLO · pith_short_16: 4KFMOGCIEQLOGKDW · pith_short_8: 4KFMOGCI

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/4KFMOGCIEQLOGKDWGC45F4Z4XO \
  | 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: e28ac718482416e3287630b9d2f33cbba09360107b787e3d3dc5fd582a83ea58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b7f9bff9993e5e2bb320b746c395acb11c8eb557604bf51a9b3e0f3e6066d14",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2023-03-01T06:35:47Z",
    "title_canon_sha256": "4f8626685778a89349c4c78a5fc420aac18d042c5bedfa9eb259a46407f8f004"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.00263",
    "kind": "arxiv",
    "version": 2
  }
}