Pith Number

pith:MIRTMCI2

pith:2017:MIRTMCI2PZS3FWMXEAODUUP5E2

not attested not anchored not stored refs pending

On proximal mappings with Young functions in uniformly convex Banach spaces

Miroslav Bacak, Ulrich Kohlenbach

arxiv:1709.04700 v3 · 2017-09-14 · math.FA · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MIRTMCI2PZS3FWMXEAODUUP5E2}

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	2026-05-18T00:31:18.699938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

622336091a7e65b2d997201c3a51fd2695089570e83dcc75209b72006f80ece7

Aliases

arxiv: 1709.04700 · arxiv_version: 1709.04700v3 · doi: 10.48550/arxiv.1709.04700 · pith_short_12: MIRTMCI2PZS3 · pith_short_16: MIRTMCI2PZS3FWMX · pith_short_8: MIRTMCI2

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/MIRTMCI2PZS3FWMXEAODUUP5E2 \
  | 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: 622336091a7e65b2d997201c3a51fd2695089570e83dcc75209b72006f80ece7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c52922ac606e084221537d34797ad73ff366a3a421a9cc982dc271b2cedf7d2b",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-09-14T11:07:06Z",
    "title_canon_sha256": "ba464a6545b9df23f1a3d518be9ebd075fbac472e9c5d202470850f0f11f3125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04700",
    "kind": "arxiv",
    "version": 3
  }
}