Pith Number

pith:WQCCMPDF

pith:2010:WQCCMPDF5GUB6ZZRRESYCWZ6W4

not attested not anchored not stored refs pending

Smooth extension of functions on a certain class of non-separable Banach spaces

Luis Sanchez-Gonzalez, Mar Jimenez-Sevilla

arxiv:1002.4147 v2 · 2010-02-22 · 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{WQCCMPDF5GUB6ZZRRESYCWZ6W4}

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	2026-05-18T04:31:41.328338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b404263c65e9a81f67318925815b3eb7358b1956707d551c390316809238ccf0

Aliases

arxiv: 1002.4147 · arxiv_version: 1002.4147v2 · doi: 10.48550/arxiv.1002.4147 · pith_short_12: WQCCMPDF5GUB · pith_short_16: WQCCMPDF5GUB6ZZR · pith_short_8: WQCCMPDF

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/WQCCMPDF5GUB6ZZRRESYCWZ6W4 \
  | 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: b404263c65e9a81f67318925815b3eb7358b1956707d551c390316809238ccf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "009d0c2c348af95f177e05bc815701cdea0f937671beff4097f2b068a50b1802",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-02-22T16:42:07Z",
    "title_canon_sha256": "c16d1352aac0dfbaaa8ea25cb7d6c46b9f34b33138d25ce9c3b4b0742a2ec882"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4147",
    "kind": "arxiv",
    "version": 2
  }
}