Pith Number

pith:N3SB23AX

pith:2018:N3SB23AXWD2VFOOZPC3ROVKBYY

not attested not anchored not stored refs pending

On the minimal displacement vector of compositions and convex combinations of nonexpansive mappings

Heinz H. Bauschke, Walaa M. Moursi

arxiv:1809.01196 v1 · 2018-09-04 · 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{N3SB23AXWD2VFOOZPC3ROVKBYY}

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	2026-05-18T00:06:31.404522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ee41d6c17b0f552b9d978b7175541c615e1ea8fede55fed2d20fe04dbb98461

Aliases

arxiv: 1809.01196 · arxiv_version: 1809.01196v1 · doi: 10.48550/arxiv.1809.01196 · pith_short_12: N3SB23AXWD2V · pith_short_16: N3SB23AXWD2VFOOZ · pith_short_8: N3SB23AX

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/N3SB23AXWD2VFOOZPC3ROVKBYY \
  | 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: 6ee41d6c17b0f552b9d978b7175541c615e1ea8fede55fed2d20fe04dbb98461

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee277f7594b6a67f2cb2070a62b32994ac78f0c89e345740852e4dbbe5f5f1c5",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-09-04T18:52:36Z",
    "title_canon_sha256": "a81b2c974a5fce9ae326fc11549cd9fca47fffa570edc35bf84f8ee5021a1849"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01196",
    "kind": "arxiv",
    "version": 1
  }
}