Pith Number

pith:WJTUJPYR

pith:2017:WJTUJPYRDFPM6XPXXYTLTDX7SU

not attested not anchored not stored refs pending

Kernel theorems for modulation spaces

Elena Cordero, Fabio Nicola

arxiv:1702.03201 v1 · 2017-02-10 · math.FA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WJTUJPYRDFPM6XPXXYTLTDX7SU}

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	2026-05-18T00:20:27.653397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b26744bf11195ecf5df7be26b98eff953bb140c7e330932d29e3fec35b8e677a

Aliases

arxiv: 1702.03201 · arxiv_version: 1702.03201v1 · doi: 10.48550/arxiv.1702.03201 · pith_short_12: WJTUJPYRDFPM · pith_short_16: WJTUJPYRDFPM6XPX · pith_short_8: WJTUJPYR

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/WJTUJPYRDFPM6XPXXYTLTDX7SU \
  | 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: b26744bf11195ecf5df7be26b98eff953bb140c7e330932d29e3fec35b8e677a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11b09572022a2662831b3d318624c440c9168337ad8fbad4e7f43f646543f159",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-02-10T15:12:23Z",
    "title_canon_sha256": "29d1174246bc81bbfd5a3209f3ecabb735f218d99f092a4e6de9c68d011373d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03201",
    "kind": "arxiv",
    "version": 1
  }
}