Pith Number

pith:L6UCPIKQ

pith:2011:L6UCPIKQ6SPOB7NRERL74VZYRB

not attested not anchored not stored refs pending

Bloch-Wigner theorem over rings with many units II

Behrooz Mirzaii, Fatemeh Y. Mokari

arxiv:1108.5452 v2 · 2011-08-27 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L6UCPIKQ6SPOB7NRERL74VZYRB}

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	2026-05-18T02:32:46.639510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fa827a150f49ee0fdb12457fe5738884327dec4aa23e37ffc2986c295b03a56

Aliases

arxiv: 1108.5452 · arxiv_version: 1108.5452v2 · doi: 10.48550/arxiv.1108.5452 · pith_short_12: L6UCPIKQ6SPO · pith_short_16: L6UCPIKQ6SPOB7NR · pith_short_8: L6UCPIKQ

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/L6UCPIKQ6SPOB7NRERL74VZYRB \
  | 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: 5fa827a150f49ee0fdb12457fe5738884327dec4aa23e37ffc2986c295b03a56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a9b024e528e258b1eb41da4949a20bb35b200fb8a495a49b6f1011192f2a864",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-08-27T14:22:12Z",
    "title_canon_sha256": "43cdb1bbf1555bee0de1baba2a94b9a3908d03a0b3c6c03f52116524b8715098"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5452",
    "kind": "arxiv",
    "version": 2
  }
}