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Pith Number

pith:WEZE5IOR

pith:2013:WEZE5IORJK35WHAMEF4E7EDS6P
not attested not anchored not stored refs pending

Criteria of valid line sum arrays for multidimensional matrices

Hyun Kwang Kim, Joon Yop Lee

arxiv:1304.7543 v1 · 2013-04-29 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WEZE5IORJK35WHAMEF4E7EDS6P}

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 2026-05-18T03:26:53.720281Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b1324ea1d14ab7db1c0c21784f9072f3f43371f1e5535b29034bf724a3530fa1

Aliases

arxiv: 1304.7543 · arxiv_version: 1304.7543v1 · doi: 10.48550/arxiv.1304.7543 · pith_short_12: WEZE5IORJK35 · pith_short_16: WEZE5IORJK35WHAM · pith_short_8: WEZE5IOR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WEZE5IORJK35WHAMEF4E7EDS6P \
  | 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: b1324ea1d14ab7db1c0c21784f9072f3f43371f1e5535b29034bf724a3530fa1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "088f43342ad106704f96c780cd63fd0810891dd11fb6a8de437a5acf70bfe234",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-29T00:29:51Z",
    "title_canon_sha256": "94c78977d77fb5ae68b82af85cf2ffcb68f93a24a41914a0158b31cfaa20b4e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7543",
    "kind": "arxiv",
    "version": 1
  }
}