Pith Number

pith:IIVSDBLO

pith:2025:IIVSDBLOJV2WQTJDNVLTHP7IO4

not attested not anchored not stored refs pending

The preduals of Banach space valued Bourgain-Morrey spaces

Jingshi Xu, Pengfei Guo, Tengfei Bai

arxiv:2505.19143 v2 · 2025-05-25 · math.FA · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IIVSDBLOJV2WQTJDNVLTHP7IO4}

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	2026-07-05T11:48:26.265930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

422b21856e4d75684d236d5733bfe87715c5b77f7176aea6aee44d65e2c2cdf2

Aliases

arxiv: 2505.19143 · arxiv_version: 2505.19143v2 · doi: 10.48550/arxiv.2505.19143 · pith_short_12: IIVSDBLOJV2W · pith_short_16: IIVSDBLOJV2WQTJD · pith_short_8: IIVSDBLO

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/IIVSDBLOJV2WQTJDNVLTHP7IO4 \
  | 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: 422b21856e4d75684d236d5733bfe87715c5b77f7176aea6aee44d65e2c2cdf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82a07bcdf9a4218ffa9980bce696c9e27aaf46e1215354ebbf1b09e2e3c275b1",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-05-25T13:23:55Z",
    "title_canon_sha256": "ac79f49d114bd1f49300f641c14efa61b41b01c679036e01cef1b0912dfdcccc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.19143",
    "kind": "arxiv",
    "version": 2
  }
}