Pith Number

pith:OXQIFS7Z

pith:2015:OXQIFS7ZPX7ZTAWBL2NXROO27X

not attested not anchored not stored refs pending

Real interpolation with weighted rearrangement invariant Banach function spaces

Ralph Chill, Sebastian Krol

arxiv:1503.05718 v2 · 2015-03-19 · 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{OXQIFS7ZPX7ZTAWBL2NXROO27X}

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	2026-05-18T01:23:12.443636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75e082cbf97dff9982c15e9b78b9dafdc55a6b47bba4c8034a514f8462731fd1

Aliases

arxiv: 1503.05718 · arxiv_version: 1503.05718v2 · doi: 10.48550/arxiv.1503.05718 · pith_short_12: OXQIFS7ZPX7Z · pith_short_16: OXQIFS7ZPX7ZTAWB · pith_short_8: OXQIFS7Z

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/OXQIFS7ZPX7ZTAWBL2NXROO27X \
  | 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: 75e082cbf97dff9982c15e9b78b9dafdc55a6b47bba4c8034a514f8462731fd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cc335b2bb84cae11e60da555890badae21210866f4b096b5f60e92c752ed9d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-03-19T11:39:02Z",
    "title_canon_sha256": "8f1f049332dcc16559dd46a0e8c6f48a32a3af2f226e3a2977526a38a81229e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05718",
    "kind": "arxiv",
    "version": 2
  }
}