Pith Number

pith:3RUZK7KE

pith:2013:3RUZK7KEDPMYIGTLDYYHUQLGG5

not attested not anchored not stored refs pending

Semigroups of Partial Isometries

Alexey I. Popov, Heydar Radjavi

arxiv:1306.1973 v3 · 2013-06-09 · math.FA · math.GR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RUZK7KEDPMYIGTLDYYHUQLGG5}

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	2026-05-18T03:21:09.920969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc69957d441bd9841a6b1e307a4166375676536b1a3e2e2cdb0dd9bc30597bf0

Aliases

arxiv: 1306.1973 · arxiv_version: 1306.1973v3 · doi: 10.48550/arxiv.1306.1973 · pith_short_12: 3RUZK7KEDPMY · pith_short_16: 3RUZK7KEDPMYIGTL · pith_short_8: 3RUZK7KE

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/3RUZK7KEDPMYIGTLDYYHUQLGG5 \
  | 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: dc69957d441bd9841a6b1e307a4166375676536b1a3e2e2cdb0dd9bc30597bf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95056bde28a54bc08666bd3e0be1df65f5f44ecb788ca2672946fbed7d368b05",
    "cross_cats_sorted": [
      "math.GR",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-06-09T01:59:29Z",
    "title_canon_sha256": "d61449f9575fa952446e4ad64e0e704d26620943eb3c62549c70444cac42c7cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1973",
    "kind": "arxiv",
    "version": 3
  }
}