Pith Number

pith:MBG6SKTP

pith:2017:MBG6SKTP4RSQKC452RVJYMWRA3

not attested not anchored not stored refs pending

A Converse to Banach's Fixed Point Theorem and its CLS Completeness

Christos Tzamos, Constantinos Daskalakis, Manolis Zampetakis

arxiv:1702.07339 v3 · 2017-02-23 · cs.CC · cs.LG · math.GN · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBG6SKTP4RSQKC452RVJYMWRA3}

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	2026-05-18T00:23:23.389008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

604de92a6fe465050b9dd46a9c32d106c5cde6f13830338c3b9bfa2390b1e36a

Aliases

arxiv: 1702.07339 · arxiv_version: 1702.07339v3 · doi: 10.48550/arxiv.1702.07339 · pith_short_12: MBG6SKTP4RSQ · pith_short_16: MBG6SKTP4RSQKC45 · pith_short_8: MBG6SKTP

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/MBG6SKTP4RSQKC452RVJYMWRA3 \
  | 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: 604de92a6fe465050b9dd46a9c32d106c5cde6f13830338c3b9bfa2390b1e36a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec18c273652b4157c5d22e52937ba411323fc09faaa98ace35a78e80c07328bf",
    "cross_cats_sorted": [
      "cs.LG",
      "math.GN",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2017-02-23T18:52:31Z",
    "title_canon_sha256": "e3f2884cc965160b709635090a5cb701a0a668b0cb6a19d39667570d2621b0c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07339",
    "kind": "arxiv",
    "version": 3
  }
}