Pith Number

pith:VFI5PYQN

pith:2019:VFI5PYQNKI3QUOO4QIYR25YTTM

not attested not anchored not stored refs pending

The Mazur--Ulam property in $\ell_\infty$-sum and $c_0$-sum of strictly convex Banach spaces

Julio Becerra Guerrero

arxiv:1905.01731 v2 · 2019-05-05 · 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{VFI5PYQNKI3QUOO4QIYR25YTTM}

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	2026-05-17T23:44:28.655798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a951d7e20d52370a39dc82311d77139b17fdbdb7561ab7b612bdfa8d08201bf1

Aliases

arxiv: 1905.01731 · arxiv_version: 1905.01731v2 · doi: 10.48550/arxiv.1905.01731 · pith_short_12: VFI5PYQNKI3Q · pith_short_16: VFI5PYQNKI3QUOO4 · pith_short_8: VFI5PYQN

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/VFI5PYQNKI3QUOO4QIYR25YTTM \
  | 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: a951d7e20d52370a39dc82311d77139b17fdbdb7561ab7b612bdfa8d08201bf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87d0d1f963469b2b6d47cfc9062ad8b1a45a1abeb80130b84e972dd95878c78c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-05-05T18:48:29Z",
    "title_canon_sha256": "55c8908b10b3038dd6db86ac9af646addba08605b875a7b607e7437d077f38f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.01731",
    "kind": "arxiv",
    "version": 2
  }
}