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Pith Number

pith:ILAS53BC

pith:2010:ILAS53BCIUB2YG5BVESX5EDUSX
not attested not anchored not stored refs pending

Bipartite graphs with a perfect matching and digraphs

Dingjun Lou, Zan-Bo Zhang

arxiv:1011.4359 v1 · 2010-11-19 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ILAS53BCIUB2YG5BVESX5EDUSX}

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 2026-05-18T04:35:14.355916Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

42c12eec224503ac1ba1a9257e907495d3e74061933568018ce19df5c0a246fd

Aliases

arxiv: 1011.4359 · arxiv_version: 1011.4359v1 · doi: 10.48550/arxiv.1011.4359 · pith_short_12: ILAS53BCIUB2 · pith_short_16: ILAS53BCIUB2YG5B · pith_short_8: ILAS53BC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ILAS53BCIUB2YG5BVESX5EDUSX \
  | 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: 42c12eec224503ac1ba1a9257e907495d3e74061933568018ce19df5c0a246fd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "38ab57bd2bc6c9f325263ee19ea4c78f3ebb2d4533daaa39de501e9ba7b59385",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-19T08:01:06Z",
    "title_canon_sha256": "41c57f143d8d66c53f61625414bb86907ecd6b355f87f6c79bfce5cc737be96e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4359",
    "kind": "arxiv",
    "version": 1
  }
}