Pith Number

pith:KCFSDXBR

pith:2018:KCFSDXBRXK2GDSX3K6JJJZZZW3

not attested not anchored not stored refs pending

Nonlinear operations on a class of modulation spaces

Mitsuru Sugimoto, Naohito Tomita, Tomoya Kato

arxiv:1801.06803 v1 · 2018-01-21 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCFSDXBRXK2GDSX3K6JJJZZZW3}

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	2026-05-18T00:25:14.994247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

508b21dc31bab461cafb579294e739b6d14df08d44c8113930206ab290186cde

Aliases

arxiv: 1801.06803 · arxiv_version: 1801.06803v1 · doi: 10.48550/arxiv.1801.06803 · pith_short_12: KCFSDXBRXK2G · pith_short_16: KCFSDXBRXK2GDSX3 · pith_short_8: KCFSDXBR

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/KCFSDXBRXK2GDSX3K6JJJZZZW3 \
  | 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: 508b21dc31bab461cafb579294e739b6d14df08d44c8113930206ab290186cde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dec25d0351ac1391b60e8526afb8e72ae0a2338ed7e8068109accef7e97ee2a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-01-21T10:32:32Z",
    "title_canon_sha256": "de28a7d85c78532d846d84d12f73da68ef57211ce4c5b79e413807d879a7a775"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06803",
    "kind": "arxiv",
    "version": 1
  }
}