Pith Number

pith:3WRN26V2

pith:2023:3WRN26V2M7S6WEO7CVSPXXLTU3

not attested not anchored not stored refs pending

A compactness criterion in Schauder spaces

M. Lanza de Cristoforis

arxiv:2306.14304 v1 · 2023-06-25 · 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{3WRN26V2M7S6WEO7CVSPXXLTU3}

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	2026-07-05T06:24:34.561856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dda2dd7aba67e5eb11df1564fbdd73a6fc72e9cf17017d7821374176b1f5efe0

Aliases

arxiv: 2306.14304 · arxiv_version: 2306.14304v1 · doi: 10.48550/arxiv.2306.14304 · pith_short_12: 3WRN26V2M7S6 · pith_short_16: 3WRN26V2M7S6WEO7 · pith_short_8: 3WRN26V2

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/3WRN26V2M7S6WEO7CVSPXXLTU3 \
  | 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: dda2dd7aba67e5eb11df1564fbdd73a6fc72e9cf17017d7821374176b1f5efe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62c315b25613cc154b1c94cb24d3814dc74d9016d423436747565976d1e0975c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-06-25T18:19:45Z",
    "title_canon_sha256": "809bba87ad29f3b6300b6096099bf7ce0e4a3e9bdec6966c86a4127d3419a7fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.14304",
    "kind": "arxiv",
    "version": 1
  }
}