Pith Number

pith:APLBVRR5

pith:2013:APLBVRR53RN37YQ7BP3MVKJFT6

not attested not anchored not stored refs pending

Vertex-Coloring Edge-Weighting of Bipartite Graphs with Two Edge Weights

Hongliang Lu

arxiv:1307.1863 v1 · 2013-07-07 · 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{APLBVRR53RN37YQ7BP3MVKJFT6}

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	2026-05-18T03:19:03.313969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d61ac63ddc5bbfe21f0bf6caa9259f8227ebcca93e8ee5e24eefe3ba4e0146

Aliases

arxiv: 1307.1863 · arxiv_version: 1307.1863v1 · doi: 10.48550/arxiv.1307.1863 · pith_short_12: APLBVRR53RN3 · pith_short_16: APLBVRR53RN37YQ7 · pith_short_8: APLBVRR5

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/APLBVRR53RN37YQ7BP3MVKJFT6 \
  | 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: 03d61ac63ddc5bbfe21f0bf6caa9259f8227ebcca93e8ee5e24eefe3ba4e0146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69f4c0f72cf39c3c51b256646b8d94eb19f8becd70710548f2d8ee883d6aa844",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-07T13:21:54Z",
    "title_canon_sha256": "7685beaf227efd32e44556e165fb78b0e6bbed97e9963b0a157c45c5c1be6dc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1863",
    "kind": "arxiv",
    "version": 1
  }
}