Pith Number

pith:3YJTOSFS

pith:2013:3YJTOSFSR246WIC7OEM5NY5WXG

not attested not anchored not stored refs pending

Weighted norm inequalities for Weyl multipliers and Fourier multipliers on the Heisenberg group

Sayan Bagchi, Sundaram Thangavelu

arxiv:1311.5399 v2 · 2013-11-21 · 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{3YJTOSFSR246WIC7OEM5NY5WXG}

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	2026-05-18T02:48:17.472188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de133748b28eb9eb205f7119d6e3b6b99a63b6f0c4e7f0a385bbdb7f1d95d66f

Aliases

arxiv: 1311.5399 · arxiv_version: 1311.5399v2 · doi: 10.48550/arxiv.1311.5399 · pith_short_12: 3YJTOSFSR246 · pith_short_16: 3YJTOSFSR246WIC7 · pith_short_8: 3YJTOSFS

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/3YJTOSFSR246WIC7OEM5NY5WXG \
  | 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: de133748b28eb9eb205f7119d6e3b6b99a63b6f0c4e7f0a385bbdb7f1d95d66f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13bd95c0c78e3b9580d8ff3709a5e09c6ea81fb60a8451d17880198625ec159a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-11-21T13:37:32Z",
    "title_canon_sha256": "f3b608ffd03c0653e8b2636b10d28e7b651de472aa7fec67cf04044758ce44c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5399",
    "kind": "arxiv",
    "version": 2
  }
}