Pith Number

pith:COM6LOX4

pith:2016:COM6LOX4U2IRPLZJHQR4QYZKNU

not attested not anchored not stored refs pending

Rate of Convergence of the Bundle Method

Andrzej Ruszczynski, Yu Du

arxiv:1609.00842 v1 · 2016-09-03 · 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{COM6LOX4U2IRPLZJHQR4QYZKNU}

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	2026-05-18T01:06:19.802141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1399e5bafca69117af293c23c8632a6d31269121b4e67a35162ec37d456027d0

Aliases

arxiv: 1609.00842 · arxiv_version: 1609.00842v1 · doi: 10.48550/arxiv.1609.00842 · pith_short_12: COM6LOX4U2IR · pith_short_16: COM6LOX4U2IRPLZJ · pith_short_8: COM6LOX4

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/COM6LOX4U2IRPLZJHQR4QYZKNU \
  | 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: 1399e5bafca69117af293c23c8632a6d31269121b4e67a35162ec37d456027d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f6a65418d76ecdb5e56f0c3cbe14098615eec014f3925ca046fad290f41d9c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-09-03T16:36:18Z",
    "title_canon_sha256": "22ff2839e1d1483e625cee0a5b0944ebe3b5b7a0fe44c28f7de4a49672570677"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00842",
    "kind": "arxiv",
    "version": 1
  }
}