Pith Number

pith:FFZ5QZXV

pith:2005:FFZ5QZXVQBYK7LGQEDDJ4WJFZK

not attested not anchored not stored refs pending

Best lower bound for the maximum heterochromatic matchings in edge-colored bipartite graphs

Hao Li, Lin Hu, Xueliang Li

arxiv:math/0512653 v4 · 2005-12-30 · 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{FFZ5QZXVQBYK7LGQEDDJ4WJFZK}

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	2026-05-18T04:08:35.543944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2973d866f58070afacd020c69e5925ca9a31e8e0e5cdec10343300bcba862608

Aliases

arxiv: math/0512653 · arxiv_version: math/0512653v4 · doi: 10.48550/arxiv.math/0512653 · pith_short_12: FFZ5QZXVQBYK · pith_short_16: FFZ5QZXVQBYK7LGQ · pith_short_8: FFZ5QZXV

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/FFZ5QZXVQBYK7LGQEDDJ4WJFZK \
  | 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: 2973d866f58070afacd020c69e5925ca9a31e8e0e5cdec10343300bcba862608

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7796e285b5939ab612e3ba11832f564d2211d83973265bf1c189da46247c2387",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-12-30T09:01:40Z",
    "title_canon_sha256": "78e18bce1f08caad2e4eab09986d930640ca9af14165920c1533815e4d5850eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512653",
    "kind": "arxiv",
    "version": 4
  }
}