Pith Number

pith:C3SFUUE6

pith:2016:C3SFUUE64IYJAM7JRKMGZWAPOM

not attested not anchored not stored refs pending

Fredholm criteria for pseudodifferential operators and induced representations of groupoid algebras

Victor Nistor

arxiv:1602.04603 v1 · 2016-02-15 · math.OA · math-ph · math.AP · math.FA · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3SFUUE64IYJAM7JRKMGZWAPOM}

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	2026-05-18T01:20:49.557902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16e45a509ee2309033e98a986cd80f730cdac131fcb32046f7c2618cb544a883

Aliases

arxiv: 1602.04603 · arxiv_version: 1602.04603v1 · doi: 10.48550/arxiv.1602.04603 · pith_short_12: C3SFUUE64IYJ · pith_short_16: C3SFUUE64IYJAM7J · pith_short_8: C3SFUUE6

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/C3SFUUE64IYJAM7JRKMGZWAPOM \
  | 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: 16e45a509ee2309033e98a986cd80f730cdac131fcb32046f7c2618cb544a883

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86a78b5af3d4bd1b7815c92a45eb877ed3a0cc9f70f0ff97a48a8ceccbf93e19",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.FA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-02-15T10:02:31Z",
    "title_canon_sha256": "3e3a03fddb308704a6639f78f0d3e1995c8d2e3faac3e72848dffedcd484ee9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04603",
    "kind": "arxiv",
    "version": 1
  }
}