Pith Number

pith:MDUEV3RG

pith:2005:MDUEV3RGWUQ5B2BFFBB23C764I

not attested not anchored not stored refs pending

Bundles of C*-categories and duality

Ezio Vasselli

arxiv:math/0510594 v3 · 2005-10-27 · math.CT · math.KT · 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{MDUEV3RGWUQ5B2BFFBB23C764I}

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	2026-05-18T04:08:04.327799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60e84aee26b521d0e8252843ad8bfee23db0a78e72ae79d04fe72db54f656432

Aliases

arxiv: math/0510594 · arxiv_version: math/0510594v3 · doi: 10.48550/arxiv.math/0510594 · pith_short_12: MDUEV3RGWUQ5 · pith_short_16: MDUEV3RGWUQ5B2BF · pith_short_8: MDUEV3RG

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/MDUEV3RGWUQ5B2BFFBB23C764I \
  | 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: 60e84aee26b521d0e8252843ad8bfee23db0a78e72ae79d04fe72db54f656432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fa17403be1a9bf2578862aa7bc3b8fa47bfc7caf19f19465a4e2d02908e9ba1",
    "cross_cats_sorted": [
      "math.KT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2005-10-27T12:03:10Z",
    "title_canon_sha256": "f97ec56d0fc4587c84f5ad32906f9c3a86d78264b52de006be3c0dec02a62403"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510594",
    "kind": "arxiv",
    "version": 3
  }
}