Pith Number

pith:R63DXON3

pith:2016:R63DXON36GHC4DTP6UGUVTG4R5

not attested not anchored not stored refs pending

A Bivariant Theory for the Cuntz Semigroup

Gabriele Tornetta, Joachim Zacharias, Joan Bosa

arxiv:1602.02043 v1 · 2016-02-05 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R63DXON36GHC4DTP6UGUVTG4R5}

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	2026-05-18T01:21:14.710901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fb63bb9bbf18e2e0e6ff50d4accdc8f7288a33dbb87c88a5e98ab7286d78e69

Aliases

arxiv: 1602.02043 · arxiv_version: 1602.02043v1 · doi: 10.48550/arxiv.1602.02043 · pith_short_12: R63DXON36GHC · pith_short_16: R63DXON36GHC4DTP · pith_short_8: R63DXON3

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/R63DXON36GHC4DTP6UGUVTG4R5 \
  | 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: 8fb63bb9bbf18e2e0e6ff50d4accdc8f7288a33dbb87c88a5e98ab7286d78e69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "328182d5b99cfedc478310d25d9f72ab1e362e1dafea2af4b4d51aafdb96bdd5",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-02-05T14:44:50Z",
    "title_canon_sha256": "02a67a169ce5063f4e710236df41cc323e23323c547eee13124f5a9388a30b40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02043",
    "kind": "arxiv",
    "version": 1
  }
}