Pith Number

pith:4AUNSFQ6

pith:2010:4AUNSFQ6A72H4PXL7RJICEIZOY

not attested not anchored not stored refs pending

Rieffel's pseudodifferential calculus and spectral analysis of quantum Hamiltonians

Marius Mantoiu

arxiv:1003.3149 v1 · 2010-03-16 · math.FA · 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{4AUNSFQ6A72H4PXL7RJICEIZOY}

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	2026-05-18T02:48:55.232131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e028d9161e07f47e3eebfc528111197629a67b38cbc16de383ebfb8e014aae23

Aliases

arxiv: 1003.3149 · arxiv_version: 1003.3149v1 · doi: 10.48550/arxiv.1003.3149 · pith_short_12: 4AUNSFQ6A72H · pith_short_16: 4AUNSFQ6A72H4PXL · pith_short_8: 4AUNSFQ6

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/4AUNSFQ6A72H4PXL7RJICEIZOY \
  | 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: e028d9161e07f47e3eebfc528111197629a67b38cbc16de383ebfb8e014aae23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdb50312dab4dd548d29ea18db96a098dd35a2b1f61017c4cdff1b92eda36a31",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-03-16T14:02:59Z",
    "title_canon_sha256": "835c1c929c22a3c0f4994612e8922f450b6ac053301ca0b0a96db079fc729992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3149",
    "kind": "arxiv",
    "version": 1
  }
}