Pith Number

pith:DULBTC4F

pith:2024:DULBTC4FCUXWXHZO2GUYK6FHS4

not attested not anchored not stored refs pending

Hilbert spaces over $C^*$-tensor categories, Fredholm modules and cyclic cohomology

Abhishek Banerjee, Subhajit Das, Surjeet Kour

arxiv:2404.15162 v1 · 2024-04-19 · math.OA · math.CT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DULBTC4FCUXWXHZO2GUYK6FHS4}

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	2026-07-05T08:11:15.990090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d16198b85152f6b9f2ed1a98578a797366d4c169c98245872a29a72c735e777

Aliases

arxiv: 2404.15162 · arxiv_version: 2404.15162v1 · doi: 10.48550/arxiv.2404.15162 · pith_short_12: DULBTC4FCUXW · pith_short_16: DULBTC4FCUXWXHZO · pith_short_8: DULBTC4F

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/DULBTC4FCUXWXHZO2GUYK6FHS4 \
  | 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: 1d16198b85152f6b9f2ed1a98578a797366d4c169c98245872a29a72c735e777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68bef13898adb2b3b6a1f6ff4bbb216fe8aa25d12469cad675821741dd754a6f",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2024-04-19T19:21:33Z",
    "title_canon_sha256": "77f06b7d3dcd71be9b8d744616bc48269f8e1eef883f8c67c3adc2f1ec120d92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.15162",
    "kind": "arxiv",
    "version": 1
  }
}