Pith Number

pith:MTRDP5L2

pith:2008:MTRDP5L2MLQWGK3JPEU3W5VVD6

not attested not anchored not stored refs pending

Changes of variables in modulation and Wiener amalgam spaces

Joachim Toft, Michael Ruzhansky, Mitsuru Sugimoto, Naohito Tomita

arxiv:0803.3485 v1 · 2008-03-25 · 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{MTRDP5L2MLQWGK3JPEU3W5VVD6}

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	2026-05-18T03:49:22.673075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64e237f57a62e1632b697929bb76b51f944ca027b784ffd5d5575ddb39b9fe84

Aliases

arxiv: 0803.3485 · arxiv_version: 0803.3485v1 · doi: 10.48550/arxiv.0803.3485 · pith_short_12: MTRDP5L2MLQW · pith_short_16: MTRDP5L2MLQWGK3J · pith_short_8: MTRDP5L2

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/MTRDP5L2MLQWGK3JPEU3W5VVD6 \
  | 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: 64e237f57a62e1632b697929bb76b51f944ca027b784ffd5d5575ddb39b9fe84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5417e2dff8b87b9a56634d10ddbc6e29fb74b077f19d5e3905572cef527fa352",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-03-25T02:30:09Z",
    "title_canon_sha256": "10dd43b0dfafe65f3ef1a60d9010fc85b2dfa8a14837f40a462140d3b82ff2fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.3485",
    "kind": "arxiv",
    "version": 1
  }
}