Pith Number

pith:LBIWQAX6

pith:2017:LBIWQAX6HXRSUTHNTYVDJHUOWF

not attested not anchored not stored refs pending

Characterization of interpolation between Grand, small or classical Lebesgue spaces

Aberto Fiorenza, Amiran Gogatishvili, Jean Michel Rakotoson, Maria Rosaria Formica, Tengiz Kopaliani

arxiv:1709.05892 v1 · 2017-09-18 · 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{LBIWQAX6HXRSUTHNTYVDJHUOWF}

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	2026-05-18T00:34:58.976162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58516802fe3de32a4ced9e2a349e8eb16ca50fc1f5812140c9702fda4b28804e

Aliases

arxiv: 1709.05892 · arxiv_version: 1709.05892v1 · doi: 10.48550/arxiv.1709.05892 · pith_short_12: LBIWQAX6HXRS · pith_short_16: LBIWQAX6HXRSUTHN · pith_short_8: LBIWQAX6

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/LBIWQAX6HXRSUTHNTYVDJHUOWF \
  | 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: 58516802fe3de32a4ced9e2a349e8eb16ca50fc1f5812140c9702fda4b28804e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90363aa6ffb78ac593d2f2729f9d5caf8ed23bba3d420476e3b701d9249dfd38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-09-18T12:25:15Z",
    "title_canon_sha256": "b0a61e44176b8ec243a86563e821dce7f674c44aaab8a430b5e6d96248cfa83f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05892",
    "kind": "arxiv",
    "version": 1
  }
}