Pith Number

pith:ZDYX7MFT

pith:2023:ZDYX7MFTLIBODNLHA5XQKH5TLT

not attested not anchored not stored refs pending

Mixed-norm Herz-slice Spaces and Their Applications

Jiang Zhou, Lihua Zhang

arxiv:2306.12013 v1 · 2023-06-21 · 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{ZDYX7MFTLIBODNLHA5XQKH5TLT}

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	2026-07-05T06:23:09.447454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8f17fb0b35a02e1b567076f051fb35cf5b5662ed867ac84d6d3136d32c1b265

Aliases

arxiv: 2306.12013 · arxiv_version: 2306.12013v1 · doi: 10.48550/arxiv.2306.12013 · pith_short_12: ZDYX7MFTLIBO · pith_short_16: ZDYX7MFTLIBODNLH · pith_short_8: ZDYX7MFT

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/ZDYX7MFTLIBODNLHA5XQKH5TLT \
  | 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: c8f17fb0b35a02e1b567076f051fb35cf5b5662ed867ac84d6d3136d32c1b265

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6439a16d6112635f751ed94b27b748a464b007b92d024c610db7865c090a3057",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-06-21T04:30:25Z",
    "title_canon_sha256": "ded933edb929720273833421cdf5cce247881f246bb109a3a409f92183b84471"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.12013",
    "kind": "arxiv",
    "version": 1
  }
}