Pith Number

pith:AN5COOPA

pith:2025:AN5COOPAMFSKP2RKDAEOZLYJRK

not attested not anchored not stored refs pending

Local presentability and monadicity of forgetful functors for operator algebraic categories

Alexandru Chirvasitu, Ian Thompson

arxiv:2507.23152 v1 · 2025-07-30 · math.CT · math.FA · 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{AN5COOPAMFSKP2RKDAEOZLYJRK}

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	2026-07-05T11:46:06.547998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

037a2739e06164a7ea2a1808ecaf098ab1b31931cc4d03dbb9e4de199b07672b

Aliases

arxiv: 2507.23152 · arxiv_version: 2507.23152v1 · doi: 10.48550/arxiv.2507.23152 · pith_short_12: AN5COOPAMFSK · pith_short_16: AN5COOPAMFSKP2RK · pith_short_8: AN5COOPA

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/AN5COOPAMFSKP2RKDAEOZLYJRK \
  | 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: 037a2739e06164a7ea2a1808ecaf098ab1b31931cc4d03dbb9e4de199b07672b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e66875cf2763427eb8a11b8edc213cc4648e1031462d4915d92def7c7c820e3",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-07-30T23:00:45Z",
    "title_canon_sha256": "44be8e8897aac808c574745c6de0ea9bd8232707d1f1052506b8671019c30afb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23152",
    "kind": "arxiv",
    "version": 1
  }
}