Pith Number

pith:R6XCZXTT

pith:2011:R6XCZXTTC5EWAIW43K2D2B77LZ

not attested not anchored not stored refs pending

On the Essential Spectrum of Phase-Space Anisotropic Pseudodifferential Operators

M. Mantoiu

arxiv:1106.2461 v3 · 2011-06-13 · math.SP · 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{R6XCZXTTC5EWAIW43K2D2B77LZ}

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	2026-05-18T03:46:31.802896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fae2cde7317496022dcdab43d07ff5e78df1286f25972c7165bda6c2eee1062

Aliases

arxiv: 1106.2461 · arxiv_version: 1106.2461v3 · doi: 10.48550/arxiv.1106.2461 · pith_short_12: R6XCZXTTC5EW · pith_short_16: R6XCZXTTC5EWAIW4 · pith_short_8: R6XCZXTT

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/R6XCZXTTC5EWAIW43K2D2B77LZ \
  | 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: 8fae2cde7317496022dcdab43d07ff5e78df1286f25972c7165bda6c2eee1062

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39291009b0a00cde5e2f620cc9756fc1e41bdb9b8832544c2c1f41647b0d0422",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-06-13T15:02:58Z",
    "title_canon_sha256": "02d8d2e3ecd5aac47cbafb13179d6db0f2761b5ba47bd44e48ff14a9c4ebc8bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2461",
    "kind": "arxiv",
    "version": 3
  }
}