Pith Number

pith:LDK4Y7QY

pith:2017:LDK4Y7QYTNPZPDJBZZBNYZVQUT

not attested not anchored not stored refs pending

The magnitude of the minimal displacement vector for compositions and convex combinations of firmly nonexpansive mappings

Heinz H. Bauschke, Walaa M. Moursi

arxiv:1712.00487 v1 · 2017-12-01 · math.OC · 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{LDK4Y7QYTNPZPDJBZZBNYZVQUT}

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	2026-05-18T00:29:05.148171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58d5cc7e189b5f978d21ce42dc66b0a4e81d859c4439b4a668098136e4e45acb

Aliases

arxiv: 1712.00487 · arxiv_version: 1712.00487v1 · doi: 10.48550/arxiv.1712.00487 · pith_short_12: LDK4Y7QYTNPZ · pith_short_16: LDK4Y7QYTNPZPDJB · pith_short_8: LDK4Y7QY

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/LDK4Y7QYTNPZPDJBZZBNYZVQUT \
  | 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: 58d5cc7e189b5f978d21ce42dc66b0a4e81d859c4439b4a668098136e4e45acb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e809bde433639fced6706fcf33afe817445c88466f1d1491333dbce4b8e703f0",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-12-01T20:44:17Z",
    "title_canon_sha256": "3f6bf2a514d937a0c7c04a110066fff6bda6f636cbb1686e60f27a34695cf1a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00487",
    "kind": "arxiv",
    "version": 1
  }
}