Pith Number

pith:JLYXR3EH

pith:2022:JLYXR3EHTGWNJFA6FBQPOX4SSW

not attested not anchored not stored refs pending

Decompositions of Local mixed Morrey-type spaces and Application

Jiang Zhou, Mingwei Shi

arxiv:2209.06003 v1 · 2022-09-13 · 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{JLYXR3EHTGWNJFA6FBQPOX4SSW}

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	2026-07-05T04:56:52.387002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4af178ec8799acd4941e2860f75f9295bd70903c51c301db077e38a7c3a4dcf3

Aliases

arxiv: 2209.06003 · arxiv_version: 2209.06003v1 · doi: 10.48550/arxiv.2209.06003 · pith_short_12: JLYXR3EHTGWN · pith_short_16: JLYXR3EHTGWNJFA6 · pith_short_8: JLYXR3EH

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/JLYXR3EHTGWNJFA6FBQPOX4SSW \
  | 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: 4af178ec8799acd4941e2860f75f9295bd70903c51c301db077e38a7c3a4dcf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c8fc88c66553807335a85c125ae11d9b33a2470ca91c5dc96cf098fd62f0acd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-09-13T13:51:23Z",
    "title_canon_sha256": "7ec41c00147c6f6d3691876b8904272547ea9375fd3e21110eb0112ddaaf404d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.06003",
    "kind": "arxiv",
    "version": 1
  }
}