Pith Number

pith:Z2BVSXTU

pith:2022:Z2BVSXTURLPRLYT3USRFNE4OBP

not attested not anchored not stored refs pending

Decoupling inequality for paraboloid under shell type restriction and its application to the periodic Zakharov system

Akansha Sanwal, Shinya Kinoshita, Shohei Nakamura

arxiv:2212.01805 v2 · 2022-12-04 · math.AP · 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{Z2BVSXTURLPRLYT3USRFNE4OBP}

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	2026-07-05T07:06:21.535825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce83595e748adf15e27ba4a256938e0bdfc78e374c4cb85cc07ba1c7c2e06458

Aliases

arxiv: 2212.01805 · arxiv_version: 2212.01805v2 · doi: 10.48550/arxiv.2212.01805 · pith_short_12: Z2BVSXTURLPR · pith_short_16: Z2BVSXTURLPRLYT3 · pith_short_8: Z2BVSXTU

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/Z2BVSXTURLPRLYT3USRFNE4OBP \
  | 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: ce83595e748adf15e27ba4a256938e0bdfc78e374c4cb85cc07ba1c7c2e06458

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "160deede4e4d6f6a412b6c684bd5900eb5dff14630d895d411b572afc1d556fd",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-12-04T12:09:55Z",
    "title_canon_sha256": "11ca6ee20839422ae58137a57dd0795a7a491ced217c9917c13f268fc8505780"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.01805",
    "kind": "arxiv",
    "version": 2
  }
}