Pith Number

pith:F7JMOZLH

pith:2026:F7JMOZLHIE23IAACJPQNBY4V7C

not attested not anchored not stored refs pending

Separability for relative extensions of object unital strongly groupoid graded rings

Patrik Lundstr\"om, Zaqueu Cristiano

arxiv:2605.17987 v1 · 2026-05-18 · math.RA · 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{F7JMOZLHIE23IAACJPQNBY4V7C}

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	2026-05-20T00:05:09.677511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fd2c765674135b400024be0d0e395f8afb287d195b72fc93a152e16bab855e5

Aliases

arxiv: 2605.17987 · arxiv_version: 2605.17987v1 · doi: 10.48550/arxiv.2605.17987 · pith_short_12: F7JMOZLHIE23 · pith_short_16: F7JMOZLHIE23IAAC · pith_short_8: F7JMOZLH

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/F7JMOZLHIE23IAACJPQNBY4V7C \
  | 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: 2fd2c765674135b400024be0d0e395f8afb287d195b72fc93a152e16bab855e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed5f68d26a2f5806f7f97d263c23d31291887632e086c1f0a0ee6712c12a089a",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-05-18T07:41:57Z",
    "title_canon_sha256": "b3df338015712a2966c56760bfdeb7d097f9e541de3baab2d68dc10c2c8c5ef6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17987",
    "kind": "arxiv",
    "version": 1
  }
}