Pith Number

pith:HQF7QJQZ

pith:2018:HQF7QJQZHHBIA5S77CJPDNSS5O

not attested not anchored not stored refs pending

Fredholm Property of Non-Smooth Pseudodifferential Operators

Christine Pfeuffer, Helmut Abels

arxiv:1806.01113 v1 · 2018-06-04 · 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{HQF7QJQZHHBIA5S77CJPDNSS5O}

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	2026-05-18T00:14:17.446184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c0bf8261939c280765ff892f1b652eb9bcb4c952600c6cfeeab70bd72e8835e

Aliases

arxiv: 1806.01113 · arxiv_version: 1806.01113v1 · doi: 10.48550/arxiv.1806.01113 · pith_short_12: HQF7QJQZHHBI · pith_short_16: HQF7QJQZHHBIA5S7 · pith_short_8: HQF7QJQZ

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/HQF7QJQZHHBIA5S77CJPDNSS5O \
  | 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: 3c0bf8261939c280765ff892f1b652eb9bcb4c952600c6cfeeab70bd72e8835e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "112f5bf3852c0ac171f7e359ed7a6bfb29b6e63a662067f037b0fb655ef9bcde",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-06-04T13:49:18Z",
    "title_canon_sha256": "4c9760db0ea6f29c9dc487b83d975487af061550c3bf27c83eeb6a1cc6bfb6a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01113",
    "kind": "arxiv",
    "version": 1
  }
}