Pith Number

pith:ICT7TGOT

pith:2017:ICT7TGOTUHLRMLNRQTU6XGF3DV

not attested not anchored not stored refs pending

On strong asymptotic uniform smoothness and convexity

Luis Garc\'ia-Lirola, Mat\'ias Raja

arxiv:1705.02020 v1 · 2017-05-04 · 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{ICT7TGOTUHLRMLNRQTU6XGF3DV}

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	2026-05-18T00:45:00.813626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40a7f999d3a1d7162db184e9eb98bb1d5f0503d427f20f994e66ad0295c31d69

Aliases

arxiv: 1705.02020 · arxiv_version: 1705.02020v1 · doi: 10.48550/arxiv.1705.02020 · pith_short_12: ICT7TGOTUHLR · pith_short_16: ICT7TGOTUHLRMLNR · pith_short_8: ICT7TGOT

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/ICT7TGOTUHLRMLNRQTU6XGF3DV \
  | 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: 40a7f999d3a1d7162db184e9eb98bb1d5f0503d427f20f994e66ad0295c31d69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dfb69b498b0a1ae792bd087f465230ee2c1d3d54f7eb59f49936c3b2d0e7a5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-05-04T21:09:02Z",
    "title_canon_sha256": "5cee65c9118e909eb7c6e5257b33969e29e8e9b28bf1f1668ecb22e4c1a69aaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02020",
    "kind": "arxiv",
    "version": 1
  }
}