Pith Number

pith:OT4OSPSE

pith:2015:OT4OSPSEMTQ3GDH434LILYW7LD

not attested not anchored not stored refs pending

Triebel-Lizorkin-Type Spaces with Variable Exponents

Ciqiang Zhuo, Dachun Yang, Wen Yuan

arxiv:1503.04510 v1 · 2015-03-16 · math.CA · 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{OT4OSPSEMTQ3GDH434LILYW7LD}

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	2026-05-18T02:23:24.815055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74f8e93e4464e1b30cfcdf1685e2df58ce9db7e4262e0d7fb062596d32924592

Aliases

arxiv: 1503.04510 · arxiv_version: 1503.04510v1 · doi: 10.48550/arxiv.1503.04510 · pith_short_12: OT4OSPSEMTQ3 · pith_short_16: OT4OSPSEMTQ3GDH4 · pith_short_8: OT4OSPSE

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/OT4OSPSEMTQ3GDH434LILYW7LD \
  | 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: 74f8e93e4464e1b30cfcdf1685e2df58ce9db7e4262e0d7fb062596d32924592

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "770c942384c54df7f9a6722ac35129b4752b580fdc3be22e47ca1855790d31ba",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-03-16T03:13:23Z",
    "title_canon_sha256": "996123a69434817012880930e9c0cbd51078cd048aff4e2cdc1523761af5d7a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04510",
    "kind": "arxiv",
    "version": 1
  }
}