Pith Number

pith:K5W5TYQH

pith:2015:K5W5TYQH7AR7YJ2KULMAJ5E6GW

not attested not anchored not stored refs pending

A Scalable and Extensible Framework for Superposition-Structured Models

Cong Xie, Shenjian Zhao, Zhihua Zhang

arxiv:1509.02314 v2 · 2015-09-08 · cs.NA · math.OC · 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{K5W5TYQH7AR7YJ2KULMAJ5E6GW}

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	2026-05-18T01:08:29.015442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

576dd9e207f823fc274aa2d804f49e35886d9c76f97b7a9f680f1aa042a31ccc

Aliases

arxiv: 1509.02314 · arxiv_version: 1509.02314v2 · doi: 10.48550/arxiv.1509.02314 · pith_short_12: K5W5TYQH7AR7 · pith_short_16: K5W5TYQH7AR7YJ2K · pith_short_8: K5W5TYQH

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/K5W5TYQH7AR7YJ2KULMAJ5E6GW \
  | 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: 576dd9e207f823fc274aa2d804f49e35886d9c76f97b7a9f680f1aa042a31ccc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "945828d1418500850590f08ac95023f67253a01861174a55964bc61c7c057c7a",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2015-09-08T10:33:27Z",
    "title_canon_sha256": "2d8141515626fe80bf4b30720b454077a6bf49749ba961072d6cc94e5009d7f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02314",
    "kind": "arxiv",
    "version": 2
  }
}