Pith Number

pith:ZTSH7UPW

pith:2026:ZTSH7UPWKRNJIDJSPACP57AMPN

not attested not anchored not stored refs pending

Weak convergence of the stochastic proximal point method in metric spaces

Nicholas Pischke

arxiv:2605.20805 v1 · 2026-05-20 · 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{ZTSH7UPWKRNJIDJSPACP57AMPN}

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	2026-05-21T01:04:55.480868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cce47fd1f6545a940d327804fefc0c7b5ea4399dd59f4691f89202bda30ea3fb

Aliases

arxiv: 2605.20805 · arxiv_version: 2605.20805v1 · doi: 10.48550/arxiv.2605.20805 · pith_short_12: ZTSH7UPWKRNJ · pith_short_16: ZTSH7UPWKRNJIDJS · pith_short_8: ZTSH7UPW

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/ZTSH7UPWKRNJIDJSPACP57AMPN \
  | 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: cce47fd1f6545a940d327804fefc0c7b5ea4399dd59f4691f89202bda30ea3fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c374699c53d4e648ab794c6b52035e5ccce00ce4c3ef946f13adfc99322a1261",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-20T06:50:49Z",
    "title_canon_sha256": "932b073bbf2fc1bed07dfcece93811def87782a52c3ca514a87a102889c148e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20805",
    "kind": "arxiv",
    "version": 1
  }
}