Pith Number

pith:OPZK4TA2

pith:2009:OPZK4TA2EASWJU7FCG7FLEL2WS

not attested not anchored not stored refs pending

Magnetic pseudodifferential operators with coefficients in C*-algebras

Max Lein, M. Mantoiu, S. Richard

arxiv:0901.3704 v1 · 2009-01-23 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPZK4TA2EASWJU7FCG7FLEL2WS}

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	2026-05-18T04:31:52.560251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73f2ae4c1a202564d3e511be55917ab498389c1bd578667384a350c644701a59

Aliases

arxiv: 0901.3704 · arxiv_version: 0901.3704v1 · doi: 10.48550/arxiv.0901.3704 · pith_short_12: OPZK4TA2EASW · pith_short_16: OPZK4TA2EASWJU7F · pith_short_8: OPZK4TA2

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/OPZK4TA2EASWJU7FCG7FLEL2WS \
  | 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: 73f2ae4c1a202564d3e511be55917ab498389c1bd578667384a350c644701a59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71ba64a44f32adc5f999f73f66b02c8fe5811328bd5c55a319c5d8facea0c4ce",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-01-23T16:06:16Z",
    "title_canon_sha256": "e04be185bf6d157ea2a3e68bccc30e793fd50361c8f480b4cbdb88c7cd29498f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.3704",
    "kind": "arxiv",
    "version": 1
  }
}