Pith Number

pith:CG6H5F3X

pith:2014:CG6H5F3X45KDCFBI3LQLQOKIWR

not attested not anchored not stored refs pending

The Grothendieck group of non-commutative non-noetherian analogues of $\mathbb{P}^1$ and regular algebras of global dimension two

Gautam Sisodia, S. Paul Smith

arxiv:1403.0640 v2 · 2014-03-04 · 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{CG6H5F3X45KDCFBI3LQLQOKIWR}

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	2026-05-18T02:40:18.405575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11bc7e9777e754311428dae0b83948b472f5d5c720e4204fc389fe09784f213f

Aliases

arxiv: 1403.0640 · arxiv_version: 1403.0640v2 · doi: 10.48550/arxiv.1403.0640 · pith_short_12: CG6H5F3X45KD · pith_short_16: CG6H5F3X45KDCFBI · pith_short_8: CG6H5F3X

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/CG6H5F3X45KDCFBI3LQLQOKIWR \
  | 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: 11bc7e9777e754311428dae0b83948b472f5d5c720e4204fc389fe09784f213f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87e19225a16986191bb491816d0fe6a4703313110037299b7be1b6b44b529d51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-03-04T00:34:05Z",
    "title_canon_sha256": "18613a2e7e07a6263dbeb7088ef804cd2c3caeace807817c2b93cac5df8e6165"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0640",
    "kind": "arxiv",
    "version": 2
  }
}