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Pith Number

pith:IWNABKKF

pith:2015:IWNABKKFIFPCO62GY3TELYU45Z
not attested not anchored not stored refs pending

A version of bundle method with linear programming

Andrew Eberhard, Shuai Liu, Yousong Luo

arxiv:1502.01787 v2 · 2015-02-06 · math.OC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IWNABKKFIFPCO62GY3TELYU45Z}

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 2026-05-18T01:37:13.869261Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

459a00a945415e277b46c6e645e29cee71560d502fac74dcaa821684ba6d9b96

Aliases

arxiv: 1502.01787 · arxiv_version: 1502.01787v2 · doi: 10.48550/arxiv.1502.01787 · pith_short_12: IWNABKKFIFPC · pith_short_16: IWNABKKFIFPCO62G · pith_short_8: IWNABKKF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IWNABKKFIFPCO62GY3TELYU45Z \
  | 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: 459a00a945415e277b46c6e645e29cee71560d502fac74dcaa821684ba6d9b96
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c28f4fd8c40603e7066b49f44b36c4b3bef55fc152292704f0d6c7a8ece005ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-02-06T04:08:11Z",
    "title_canon_sha256": "0ccf2384930881c199bddde8654be84849369f6cd0e5cb3dfd397c45e087d183"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01787",
    "kind": "arxiv",
    "version": 2
  }
}