Pith Number

pith:DKC264WJ

pith:2016:DKC264WJVQAIJZVPRWQFOMEGWX

not attested not anchored not stored refs pending

Bimodules in group graded rings

Johan \"Oinert

arxiv:1608.08619 v2 · 2016-08-30 · 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{DKC264WJVQAIJZVPRWQFOMEGWX}

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	2026-05-18T00:53:07.657673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a85af72c9ac0084e6af8da0573086b5fa75027ed65d246cfe29f81a61a850ff

Aliases

arxiv: 1608.08619 · arxiv_version: 1608.08619v2 · doi: 10.48550/arxiv.1608.08619 · pith_short_12: DKC264WJVQAI · pith_short_16: DKC264WJVQAIJZVP · pith_short_8: DKC264WJ

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/DKC264WJVQAIJZVPRWQFOMEGWX \
  | 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: 1a85af72c9ac0084e6af8da0573086b5fa75027ed65d246cfe29f81a61a850ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79b0142cb0b0ac4abc95fdb01d6afd4afcced58da866a30754ea45d055611211",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-08-30T19:55:56Z",
    "title_canon_sha256": "7d56b1d38c3152459cdf612ec8fc82ec964e75f6a92eebec24c2a6b5eb2443a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08619",
    "kind": "arxiv",
    "version": 2
  }
}