Pith Number

pith:H33OT55J

pith:2017:H33OT55JQRMXIDK67QOFKTFC36

not attested not anchored not stored refs pending

Intrinsic Structures of Certain Musielak-Orlicz Hardy Spaces

Dachun Yang, Jun Cao, Liguang Liu, Wen Yuan

arxiv:1707.05966 v1 · 2017-07-19 · 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{H33OT55JQRMXIDK67QOFKTFC36}

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	2026-05-18T00:39:57.911090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ef6e9f7a98459740d5efc1c554ca2df843a0e78573648717308adce617178fc

Aliases

arxiv: 1707.05966 · arxiv_version: 1707.05966v1 · doi: 10.48550/arxiv.1707.05966 · pith_short_12: H33OT55JQRMX · pith_short_16: H33OT55JQRMXIDK6 · pith_short_8: H33OT55J

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/H33OT55JQRMXIDK67QOFKTFC36 \
  | 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: 3ef6e9f7a98459740d5efc1c554ca2df843a0e78573648717308adce617178fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14357898bceb181cd6e906d0a09e15cc05ce4f9d46935e57dd7468e58f14387b",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-07-19T07:42:36Z",
    "title_canon_sha256": "6d7f8a327e2025e8cf040048123ee4062766a6981bbf4725b744ca3ebf83867c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05966",
    "kind": "arxiv",
    "version": 1
  }
}