Pith Number

pith:BNG6NWNO

pith:2008:BNG6NWNO7LSNF52CXM5WPESZFS

not attested not anchored not stored refs pending

Partitioning 3-edge-colored complete equi-bipartite graphs by monochromatic trees under a color degree condition

Fengxia Liu, Xueliang Li

arxiv:0801.0270 v2 · 2008-01-01 · 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{BNG6NWNO7LSNF52CXM5WPESZFS}

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	2026-07-04T15:06:34.343779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b4de6d9aefae4d2f742bb3b6792592c9096b64b99b881d8868004404ab8bb01

Aliases

arxiv: 0801.0270 · arxiv_version: 0801.0270v2 · doi: 10.48550/arxiv.0801.0270 · pith_short_12: BNG6NWNO7LSN · pith_short_16: BNG6NWNO7LSNF52C · pith_short_8: BNG6NWNO

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/BNG6NWNO7LSNF52CXM5WPESZFS \
  | 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: 0b4de6d9aefae4d2f742bb3b6792592c9096b64b99b881d8868004404ab8bb01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51def5cded45266bcc786f2f289f3e110406db7bc5190d3a79bb85c92657d16c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2008-01-01T03:48:33Z",
    "title_canon_sha256": "827c0314632806d925e9b57afbe3f149c50bb79fc33d15d78a26528f6d2818b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.0270",
    "kind": "arxiv",
    "version": 2
  }
}