Pith Number

pith:62IXSTXK

pith:2017:62IXSTXKQYPGN75ZROFFQUEBUY

not attested not anchored not stored refs pending

Anisotropic Variable Hardy-Lorentz Spaces and Their Real Interpolation

Dachun Yang, Jun Liu, Wen Yuan

arxiv:1705.05188 v1 · 2017-05-15 · math.CA · math.AP · 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{62IXSTXKQYPGN75ZROFFQUEBUY}

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	2026-05-18T00:44:31.138178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f691794eea861e66ffb98b8a585081a61ce0faf149c73d8b4efba9b1fbbf15bf

Aliases

arxiv: 1705.05188 · arxiv_version: 1705.05188v1 · doi: 10.48550/arxiv.1705.05188 · pith_short_12: 62IXSTXKQYPG · pith_short_16: 62IXSTXKQYPGN75Z · pith_short_8: 62IXSTXK

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/62IXSTXKQYPGN75ZROFFQUEBUY \
  | 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: f691794eea861e66ffb98b8a585081a61ce0faf149c73d8b4efba9b1fbbf15bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ad85429eecaf44a8c649aacc4aebd06cf9893e654dcdb2a972700212d9df877",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-05-15T12:41:32Z",
    "title_canon_sha256": "91671e80063029c988a52bb7c5a1748079025c27610a3e096cb5595a6de2d366"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05188",
    "kind": "arxiv",
    "version": 1
  }
}