Pith Number

pith:4OKWE5PE

pith:2018:4OKWE5PE6FX4X2DIF4RFFYMKSM

not attested not anchored not stored refs pending

On asymptotically uniformly smoothness and nonlinear geometry of Banach spaces

Bruno de Mendon\c{c}a Braga

arxiv:1808.03254 v1 · 2018-08-09 · 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{4OKWE5PE6FX4X2DIF4RFFYMKSM}

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	2026-05-18T00:08:29.797954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3956275e4f16fcbe8682f2252e18a933fd522495083b057bf8d6858af7b33c2

Aliases

arxiv: 1808.03254 · arxiv_version: 1808.03254v1 · doi: 10.48550/arxiv.1808.03254 · pith_short_12: 4OKWE5PE6FX4 · pith_short_16: 4OKWE5PE6FX4X2DI · pith_short_8: 4OKWE5PE

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/4OKWE5PE6FX4X2DIF4RFFYMKSM \
  | 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: e3956275e4f16fcbe8682f2252e18a933fd522495083b057bf8d6858af7b33c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7646f1ae6e4a96d60c26503726d53ddcabed4d89105e78bcc8906edf27a7683e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-08-09T17:38:07Z",
    "title_canon_sha256": "44a2f1cefc8c15dd4720316ad209f3ca6a4a8a0063bcb5a0671b34546eb57a08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03254",
    "kind": "arxiv",
    "version": 1
  }
}