Pith Number

pith:QLJXU7ED

pith:2004:QLJXU7ED3OOIQRFSZDHRZDC73B

not attested not anchored not stored refs pending

Boundary maps for $C^*$-crossed products with R with an application to the quantum Hall effect

Hermann Schulz-Baldes, Johannes Kellendonk

arxiv:math-ph/0405022 v1 · 2004-05-07 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QLJXU7ED3OOIQRFSZDHRZDC73B}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:01:06.754967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82d37a7c83db9c8844b2c8cf1c8c5fd8522a125fe257e62c4ed80bfa9c52a38e

Aliases

arxiv: math-ph/0405022 · arxiv_version: math-ph/0405022v1 · doi: 10.48550/arxiv.math-ph/0405022 · pith_short_12: QLJXU7ED3OOI · pith_short_16: QLJXU7ED3OOIQRFS · pith_short_8: QLJXU7ED

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/QLJXU7ED3OOIQRFSZDHRZDC73B \
  | 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: 82d37a7c83db9c8844b2c8cf1c8c5fd8522a125fe257e62c4ed80bfa9c52a38e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e1863401e67ae1befb3884f32948ab18c5500b40a909b4ffc6ef7a8aa2ff534",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-05-07T08:59:15Z",
    "title_canon_sha256": "44f0e25bd9a6162acf7d5d8948006fbb2cfe1bfeaea2788683d33730186cd3cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0405022",
    "kind": "arxiv",
    "version": 1
  }
}