Pith Number

pith:7IL6CS7G

pith:2013:7IL6CS7GUPBMDASEQJFSVYZNMF

not attested not anchored not stored refs pending

Vector valued multivariate spectral multipliers, Littlewood-Paley functions, and Sobolev spaces in hte Hermite setting

A. Ssnabria, J.C. Fari\~na, J.J. Betancor

arxiv:1304.4018 v2 · 2013-04-15 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7IL6CS7GUPBMDASEQJFSVYZNMF}

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	2026-05-18T02:42:46.714479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa17e14be6a3c2c18244824b2ae32d6140565269877f33ae5f852821cac02116

Aliases

arxiv: 1304.4018 · arxiv_version: 1304.4018v2 · doi: 10.48550/arxiv.1304.4018 · pith_short_12: 7IL6CS7GUPBM · pith_short_16: 7IL6CS7GUPBMDASE · pith_short_8: 7IL6CS7G

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/7IL6CS7GUPBMDASEQJFSVYZNMF \
  | 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: fa17e14be6a3c2c18244824b2ae32d6140565269877f33ae5f852821cac02116

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e6b6902cf230a918a7d27f1c75ee38c247f3ae30036ba72cc6356307b3c1003",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-04-15T08:34:05Z",
    "title_canon_sha256": "1f31e4426157360497fe5fac7729113d96f048de5a593ae3136028cf230a3081"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4018",
    "kind": "arxiv",
    "version": 2
  }
}