Pith Number

pith:HKHI264B

pith:2026:HKHI264B7SXOPSFVXTWBAZJHUN

not attested not anchored not stored refs pending

Central idempotents in group-graded rings

Johan \"Oinert

arxiv:2605.20008 v1 · 2026-05-19 · math.RA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKHI264B7SXOPSFVXTWBAZJHUN}

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	2026-05-20T02:05:58.767948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a8e8d7b81fcaee7c8b5bcec106527a372d951c61ffc9d31ac8a96a11a0c54a9

Aliases

arxiv: 2605.20008 · arxiv_version: 2605.20008v1 · doi: 10.48550/arxiv.2605.20008 · pith_short_12: HKHI264B7SXO · pith_short_16: HKHI264B7SXOPSFV · pith_short_8: HKHI264B

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/HKHI264B7SXOPSFVXTWBAZJHUN \
  | 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: 3a8e8d7b81fcaee7c8b5bcec106527a372d951c61ffc9d31ac8a96a11a0c54a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bc9b07df59a65d80c6feb383dc9c7ef45b1ec631962ecc86211ede8fbef2174",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-05-19T15:39:19Z",
    "title_canon_sha256": "911b5fb7d6557d3c860edf76f8826678375d5b04ecf93d9e89a9015a7da5edd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20008",
    "kind": "arxiv",
    "version": 1
  }
}