Pith Number

pith:JLCQPCCB

pith:2015:JLCQPCCBEFX6JTBVTQ46HQBCST

not attested not anchored not stored refs pending

Boundedness of Pseudo-Differential Operators on $L^p$, Sobolev, and Modulation Spaces

G\"otz E. Pfander, Shahla Molahajloo

arxiv:1504.05720 v1 · 2015-04-22 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JLCQPCCBEFX6JTBVTQ46HQBCST}

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	2026-05-18T02:18:12.883716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ac5078841216fe4cc359c39e3c02294e9884aa4e7d228985b8045990eed0883

Aliases

arxiv: 1504.05720 · arxiv_version: 1504.05720v1 · doi: 10.48550/arxiv.1504.05720 · pith_short_12: JLCQPCCBEFX6 · pith_short_16: JLCQPCCBEFX6JTBV · pith_short_8: JLCQPCCB

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/JLCQPCCBEFX6JTBVTQ46HQBCST \
  | 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: 4ac5078841216fe4cc359c39e3c02294e9884aa4e7d228985b8045990eed0883

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6062a76bd7124ce47be6839b1cea75864e06903dca740cc02b2b4c81989c3612",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-04-22T10:28:24Z",
    "title_canon_sha256": "8059c9b8c71d524517f34aa1651c6c7af905edef98b0851da2c6f026bde08635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05720",
    "kind": "arxiv",
    "version": 1
  }
}