Pith Number

pith:52X44EN6

pith:2008:52X44EN6BPTQ5S5UZ5XPQPZVGD

not attested not anchored not stored refs pending

Tits indices over semilocal rings

A. Stavrova, V. Petrov

arxiv:0807.2140 v3 · 2008-07-14 · math.AG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52X44EN6BPTQ5S5UZ5XPQPZVGD}

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	2026-07-04T17:19:25.107998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeafce11be0be70ecbb4cf6ef83f3530f1c7a70da568c896afa9b98e2271ee5f

Aliases

arxiv: 0807.2140 · arxiv_version: 0807.2140v3 · doi: 10.48550/arxiv.0807.2140 · pith_short_12: 52X44EN6BPTQ · pith_short_16: 52X44EN6BPTQ5S5U · pith_short_8: 52X44EN6

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/52X44EN6BPTQ5S5UZ5XPQPZVGD \
  | 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: eeafce11be0be70ecbb4cf6ef83f3530f1c7a70da568c896afa9b98e2271ee5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d27b9ee1b7abc2b6c498e51558ac7a5acecc77e15e0987dbc7a0ea41ddca2544",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-07-14T12:47:13Z",
    "title_canon_sha256": "f9902084534ddc826ad34ba5b260711761c8b7e123d10cb2838e4eb82031b1dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2140",
    "kind": "arxiv",
    "version": 3
  }
}