Pith Number

pith:HOPPD4LW

pith:2018:HOPPD4LWQWYRF2R6I3WXRYSYTR

not attested not anchored not stored refs pending

Two-sided popular matchings in bipartite graphs with forbidden/forced elements and weights

Vladlena Powers, Xingyu Zhang, Yuri Faenza

arxiv:1803.01478 v2 · 2018-03-05 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HOPPD4LWQWYRF2R6I3WXRYSYTR}

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	2026-05-18T00:21:34.011907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b9ef1f17685b112ea3e46ed78e2589c74e39e69fe3f6bc07cf5b67b28da9171

Aliases

arxiv: 1803.01478 · arxiv_version: 1803.01478v2 · doi: 10.48550/arxiv.1803.01478 · pith_short_12: HOPPD4LWQWYR · pith_short_16: HOPPD4LWQWYRF2R6 · pith_short_8: HOPPD4LW

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/HOPPD4LWQWYRF2R6I3WXRYSYTR \
  | 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: 3b9ef1f17685b112ea3e46ed78e2589c74e39e69fe3f6bc07cf5b67b28da9171

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eabf578dd31d954d7497f30b1f2c07eaf7e2a1ec49ba16c5e80ec936a9269b81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-03-05T03:07:07Z",
    "title_canon_sha256": "84b7e7e8454b6485be30fbaf62845954d94216ab971806e214682b14d9966a20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01478",
    "kind": "arxiv",
    "version": 2
  }
}