Pith Number

pith:BJTMS3HU

pith:2012:BJTMS3HURDT63ITGG3S6GQDYBO

not attested not anchored not stored refs pending

Some remarks on the $n$-linear Hilbert transform for $n\geq 4$

Camil Muscalu

arxiv:1209.6391 v3 · 2012-09-27 · 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{BJTMS3HURDT63ITGG3S6GQDYBO}

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	2026-05-18T03:35:25.423480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a66c96cf488e7eda26636e5e340780ba8f504ebe83f1dd407f3adf26579a990

Aliases

arxiv: 1209.6391 · arxiv_version: 1209.6391v3 · doi: 10.48550/arxiv.1209.6391 · pith_short_12: BJTMS3HURDT6 · pith_short_16: BJTMS3HURDT63ITG · pith_short_8: BJTMS3HU

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/BJTMS3HURDT63ITGG3S6GQDYBO \
  | 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: 0a66c96cf488e7eda26636e5e340780ba8f504ebe83f1dd407f3adf26579a990

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4df5fef8eb796604db12f9106ccb33041f13564870ad71753c49dcae72ab772a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-09-27T22:49:18Z",
    "title_canon_sha256": "c3f48b8e36eedbc971b3af7203611f26be749cf4a13983a72ab6a69703168c88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6391",
    "kind": "arxiv",
    "version": 3
  }
}