Pith Number

pith:K3QJUGDV

pith:2010:K3QJUGDV35BSO5SQMNCRO2OIBV

not attested not anchored not stored refs pending

Miyashita Action in Strongly Groupoid Graded Rings

Johan \"Oinert, Patrik Lundstr\"om

arxiv:1001.1459 v4 · 2010-01-09 · 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{K3QJUGDV35BSO5SQMNCRO2OIBV}

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	2026-05-18T03:37:09.457073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56e09a1875df4327765063451769c80d68e03454464cfd5a8fdf16e7fbbb1e8c

Aliases

arxiv: 1001.1459 · arxiv_version: 1001.1459v4 · doi: 10.48550/arxiv.1001.1459 · pith_short_12: K3QJUGDV35BS · pith_short_16: K3QJUGDV35BSO5SQ · pith_short_8: K3QJUGDV

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/K3QJUGDV35BSO5SQMNCRO2OIBV \
  | 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: 56e09a1875df4327765063451769c80d68e03454464cfd5a8fdf16e7fbbb1e8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "245dd0fc5bfb104b7fd65e9b984b43af4c66bea32574545d9ee0e0b783d50d4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-01-09T23:12:00Z",
    "title_canon_sha256": "bb9afc5fdf94b9e5968d94a8f6d8ee2f119fa72403973bc93403789458b56748"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1459",
    "kind": "arxiv",
    "version": 4
  }
}