Pith Number

pith:6EQUFT54

pith:2016:6EQUFT54BA3443EWHO5U5YMERD

not attested not anchored not stored refs pending

An intrinsic square function on weighted Herz spaces with variable exponent

Mitsuo Izuki, Takahiro Noi

arxiv:1606.01019 v1 · 2016-06-03 · 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{6EQUFT54BA3443EWHO5U5YMERD}

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	2026-05-18T01:12:59.420033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f12142cfbc0837ce6c963bbb4ee18488f501adf01f65b8cc125e081d9464683d

Aliases

arxiv: 1606.01019 · arxiv_version: 1606.01019v1 · doi: 10.48550/arxiv.1606.01019 · pith_short_12: 6EQUFT54BA34 · pith_short_16: 6EQUFT54BA3443EW · pith_short_8: 6EQUFT54

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/6EQUFT54BA3443EWHO5U5YMERD \
  | 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: f12142cfbc0837ce6c963bbb4ee18488f501adf01f65b8cc125e081d9464683d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63da0d1de939496e9b046e93c241766edd2afd887afaeb6c4068f9a7fcd1fc6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-06-03T09:46:05Z",
    "title_canon_sha256": "447b931babc983fa2730905b97d67d335ed136d9a016834cc77ec3703a7960cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01019",
    "kind": "arxiv",
    "version": 1
  }
}