Pith Number

pith:XQF64RKO

pith:2019:XQF64RKOAL5574T7G4A5XSOG6W

not attested not anchored not stored refs pending

Binary component decomposition Part II: The asymmetric case

Joel A. Tropp, Richard Kueng

arxiv:1907.13602 v1 · 2019-07-31 · cs.DS · math.MG · math.OC · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQF64RKOAL5574T7G4A5XSOG6W}

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	2026-07-04T23:50:50.938653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc0bee454e02fbdff27f3701dbc9c6f58ccf7e8351f6f55301631e22b35c4261

Aliases

arxiv: 1907.13602 · arxiv_version: 1907.13602v1 · doi: 10.48550/arxiv.1907.13602 · pith_short_12: XQF64RKOAL55 · pith_short_16: XQF64RKOAL5574T7 · pith_short_8: XQF64RKO

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/XQF64RKOAL5574T7G4A5XSOG6W \
  | 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: bc0bee454e02fbdff27f3701dbc9c6f58ccf7e8351f6f55301631e22b35c4261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60f8c7a4d0010f1a39fcc6403f8f808eae504a7840fbf27bf600e0a9279ca6e5",
    "cross_cats_sorted": [
      "math.MG",
      "math.OC",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-07-31T17:07:08Z",
    "title_canon_sha256": "6fbbd77c10bd1afab7e12bd42c2e8a3e9ce7eb42a00ce8f30780e69ea93d6445"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.13602",
    "kind": "arxiv",
    "version": 1
  }
}