Pith Number

pith:JP7KUN2W

pith:2015:JP7KUN2WFGT22YYKD5O6ZW23HT

not attested not anchored not stored refs pending

$NP/CLP$ Equivalence: A Phenomenon Hidden Among Sparsity Models for Information Processing

Haiyang Li, Jigen Peng, Shigang Yue

arxiv:1501.02018 v1 · 2015-01-09 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JP7KUN2WFGT22YYKD5O6ZW23HT}

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	2026-05-18T02:29:45.050237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bfeaa375629a7ad630a1f5decdb5b3cf59e7954f30b67085845fd402c0c5df8

Aliases

arxiv: 1501.02018 · arxiv_version: 1501.02018v1 · doi: 10.48550/arxiv.1501.02018 · pith_short_12: JP7KUN2WFGT2 · pith_short_16: JP7KUN2WFGT22YYK · pith_short_8: JP7KUN2W

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/JP7KUN2WFGT22YYKD5O6ZW23HT \
  | 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: 4bfeaa375629a7ad630a1f5decdb5b3cf59e7954f30b67085845fd402c0c5df8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b6fb9ba2fd0e281d5457f7720ddf4be5221d8c4a0f27fc21c959aeda6dd771d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-01-09T01:55:15Z",
    "title_canon_sha256": "c4d16bf241f402cb16ea6cc133d009da7a16d4f81f30bd6f7cdf26fe150f93fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02018",
    "kind": "arxiv",
    "version": 1
  }
}