Pith Number

pith:UL5ZASRG

pith:2015:UL5ZASRGEPKUAD6KGZVRYLJQ7J

not attested not anchored not stored refs pending

On a result of Pazy concerning the asymptotic behaviour of nonexpansive mappings

Graeme R. Douglas, Heinz H. Bauschke, Walaa M. Moursi

arxiv:1505.04129 v1 · 2015-05-15 · math.OC · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UL5ZASRGEPKUAD6KGZVRYLJQ7J}

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	2026-05-18T02:09:40.005836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2fb904a2623d5400fca366b1c2d30fa4a6df8b297a222c73784cf34358cd7d6

Aliases

arxiv: 1505.04129 · arxiv_version: 1505.04129v1 · doi: 10.48550/arxiv.1505.04129 · pith_short_12: UL5ZASRGEPKU · pith_short_16: UL5ZASRGEPKUAD6K · pith_short_8: UL5ZASRG

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/UL5ZASRGEPKUAD6KGZVRYLJQ7J \
  | 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: a2fb904a2623d5400fca366b1c2d30fa4a6df8b297a222c73784cf34358cd7d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0cded625dde5748753be5582812b6614ca741caebb26abec423f0a781e0a307",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-05-15T17:11:41Z",
    "title_canon_sha256": "9e172d16a92ad6b6b37909f82b43dc2c833c8fe79dfe917dcd38ddcca1b282cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04129",
    "kind": "arxiv",
    "version": 1
  }
}