Pith Number

pith:XQKLKYGO

pith:2026:XQKLKYGOFOXCSJ7CU6DUZOZWT4

not attested not anchored not stored refs pending

A note on matchings and co-matchings in bipartite graphs

Sida Li

arxiv:2607.23928 v1 · 2026-07-27 · 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{XQKLKYGOFOXCSJ7CU6DUZOZWT4}

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	2026-07-28T01:23:18.136858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc14b560ce2bae2927e2a7874cbb369f3cc41062b8b1e7ee6f4bfd84c18221c2

Aliases

arxiv: 2607.23928 · arxiv_version: 2607.23928v1 · doi: 10.48550/arxiv.2607.23928 · pith_short_12: XQKLKYGOFOXC · pith_short_16: XQKLKYGOFOXCSJ7C · pith_short_8: XQKLKYGO

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/XQKLKYGOFOXCSJ7CU6DUZOZWT4 \
  | 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: bc14b560ce2bae2927e2a7874cbb369f3cc41062b8b1e7ee6f4bfd84c18221c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "061d0a85034ffc74837070529c4be5c94c70dea1c32739c22b399bb153a0b20a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-27T01:48:38Z",
    "title_canon_sha256": "d2f7b66d313d9df5e745e3bd405b8e82489e037e5860db984346c6370e3c997a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23928",
    "kind": "arxiv",
    "version": 1
  }
}