Pith Number

pith:PRWYJOBO

pith:2009:PRWYJOBOIV7E35W7IUDPEOJQQK

not attested not anchored not stored refs pending

Commutator Criteria for Magnetic Pseudodifferential Operators

Marius Mantoiu, Radu Purice, Viorel Iftimie

arxiv:0902.0513 v2 · 2009-02-03 · math-ph · math.AP · 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{PRWYJOBOIV7E35W7IUDPEOJQQK}

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	2026-05-18T03:28:43.314644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c6d84b82e457e4df6df4506f2393082a90db7a3c2b0832283ba3962d1b6c3ef

Aliases

arxiv: 0902.0513 · arxiv_version: 0902.0513v2 · doi: 10.48550/arxiv.0902.0513 · pith_short_12: PRWYJOBOIV7E · pith_short_16: PRWYJOBOIV7E35W7 · pith_short_8: PRWYJOBO

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/PRWYJOBOIV7E35W7IUDPEOJQQK \
  | 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: 7c6d84b82e457e4df6df4506f2393082a90db7a3c2b0832283ba3962d1b6c3ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "965db96a1dca7ff4c831aa257431960b3375d16c10696eb81f060f7ee78061f5",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-02-03T14:13:26Z",
    "title_canon_sha256": "4d0e04fd5ecfc4e056c8dc8616d79ef42b30a02904aa97d847299bf1f9a3d183"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0513",
    "kind": "arxiv",
    "version": 2
  }
}