Pith Number

pith:VQ7YYY7U

pith:2021:VQ7YYY7UMMQKGFCPL65RH7X44W

not attested not anchored not stored refs pending

Optimal error bounds for nonexpansive fixed-point iterations in normed spaces

Juan Pablo Contreras, Roberto Cominetti

arxiv:2108.10969 v3 · 2021-08-24 · 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{VQ7YYY7UMMQKGFCPL65RH7X44W}

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	2026-07-05T04:22:38.563680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac3f8c63f46320a3144f5fbb13fefce59ba0d7ba0ef73fcd915d504e3a3a0cbb

Aliases

arxiv: 2108.10969 · arxiv_version: 2108.10969v3 · doi: 10.48550/arxiv.2108.10969 · pith_short_12: VQ7YYY7UMMQK · pith_short_16: VQ7YYY7UMMQKGFCP · pith_short_8: VQ7YYY7U

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/VQ7YYY7UMMQKGFCPL65RH7X44W \
  | 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: ac3f8c63f46320a3144f5fbb13fefce59ba0d7ba0ef73fcd915d504e3a3a0cbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d5705c0af80456c424883f486747b181a2f08a3989500457f864c2a1b3affa2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-08-24T21:44:56Z",
    "title_canon_sha256": "af688df4869d5239d7a08f126310ba90b65d268d2ec834d9596a21ad5fec6061"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.10969",
    "kind": "arxiv",
    "version": 3
  }
}