Pith Number

pith:XLLJSQGX

pith:2025:XLLJSQGX5PADUIE26G6KI2JIRL

not attested not anchored not stored refs pending

Bipartite graphs with the double Hall property

Guantao Chen, Jennifer Vandenbussche, Mikhail Lavrov, Yimo Su, Yuying Ma

arxiv:2502.10903 v2 · 2025-02-15 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XLLJSQGX5PADUIE26G6KI2JIRL}

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	2026-06-11T01:10:25.391055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bad69940d7ebc03a209af1bca469288afc0a345a5729228e3a1b49553171e386

Aliases

arxiv: 2502.10903 · arxiv_version: 2502.10903v2 · doi: 10.48550/arxiv.2502.10903 · pith_short_12: XLLJSQGX5PAD · pith_short_16: XLLJSQGX5PADUIE2 · pith_short_8: XLLJSQGX

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/XLLJSQGX5PADUIE26G6KI2JIRL \
  | 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: bad69940d7ebc03a209af1bca469288afc0a345a5729228e3a1b49553171e386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0accae9a6794653d2647f63e480efd7d60832544afc51f28926e1a079e308252",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-02-15T20:51:56Z",
    "title_canon_sha256": "57a74c9ca0bc59f571f0440bbe6de7a152c1c6f79894e27fdd541448bd7198eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.10903",
    "kind": "arxiv",
    "version": 2
  }
}