Pith Number

pith:GYV4ETQN

pith:2025:GYV4ETQNXT474PSK52TF3LCIME

not attested not anchored not stored refs pending

$C^*$-supports and abnormalities of operator systems

Colin Krisko, Rapha\"el Clou\^atre

arxiv:2501.07544 v2 · 2025-01-13 · 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{GYV4ETQNXT474PSK52TF3LCIME}

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	2026-07-05T11:15:19.062258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

362bc24e0dbcf9fe3e4aeea65dac48611ab2ee7aeb6474ed81fbce87e29de20b

Aliases

arxiv: 2501.07544 · arxiv_version: 2501.07544v2 · doi: 10.48550/arxiv.2501.07544 · pith_short_12: GYV4ETQNXT47 · pith_short_16: GYV4ETQNXT474PSK · pith_short_8: GYV4ETQN

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/GYV4ETQNXT474PSK52TF3LCIME \
  | 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: 362bc24e0dbcf9fe3e4aeea65dac48611ab2ee7aeb6474ed81fbce87e29de20b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d5d2c50a23249ac66d9cac962cba322816d23e406ba6c124e725dfae3164e53",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-01-13T18:26:04Z",
    "title_canon_sha256": "c1c1276d1f6cef3408bb40ea2cb792bd4c833bdf94e889d536df84f21279a2a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.07544",
    "kind": "arxiv",
    "version": 2
  }
}