Pith Number

pith:R6TLF6XN

pith:2016:R6TLF6XNW4UWFQXUNKPDWZIVLO

not attested not anchored not stored refs pending

Sharp convergence rates for averaged nonexpansive maps

Mario Bravo, Roberto Cominetti

arxiv:1606.05300 v2 · 2016-06-16 · 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{R6TLF6XNW4UWFQXUNKPDWZIVLO}

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	2026-05-18T00:51:57.841852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fa6b2faedb72962c2f46a9e3b65155b8369f49862960461952400eb4703bca7

Aliases

arxiv: 1606.05300 · arxiv_version: 1606.05300v2 · doi: 10.48550/arxiv.1606.05300 · pith_short_12: R6TLF6XNW4UW · pith_short_16: R6TLF6XNW4UWFQXU · pith_short_8: R6TLF6XN

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/R6TLF6XNW4UWFQXUNKPDWZIVLO \
  | 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: 8fa6b2faedb72962c2f46a9e3b65155b8369f49862960461952400eb4703bca7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9d9268c227671a2f43f5c03356a0a7ff88680a3216994150176b9d79a4ed71e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-06-16T18:09:42Z",
    "title_canon_sha256": "1027e5266966ed5c93ea94a11551bba912470038ce71fab040dacac5bd74afc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05300",
    "kind": "arxiv",
    "version": 2
  }
}