Pith Number

pith:VI5AAZG4

pith:2023:VI5AAZG4TGBS2YQZY6G5DIR7KV

not attested not anchored not stored refs pending

On Edge Coloring of Multigraphs

Guangming Jing

arxiv:2308.15588 v6 · 2023-08-29 · 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{VI5AAZG4TGBS2YQZY6G5DIR7KV}

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	2026-06-02T01:03:28.044008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa3a0064dc99832d6219c78dd1a23f554447d4cf44119df42f13aba9c6f6c8ba

Aliases

arxiv: 2308.15588 · arxiv_version: 2308.15588v6 · doi: 10.48550/arxiv.2308.15588 · pith_short_12: VI5AAZG4TGBS · pith_short_16: VI5AAZG4TGBS2YQZ · pith_short_8: VI5AAZG4

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/VI5AAZG4TGBS2YQZY6G5DIR7KV \
  | 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: aa3a0064dc99832d6219c78dd1a23f554447d4cf44119df42f13aba9c6f6c8ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "550b0abfedc6c220cebdfa2782dc4bb3b0bcbda68b7e7799531180266a752a00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-08-29T19:32:21Z",
    "title_canon_sha256": "182f1e26f9cb17d62c7d76df45a9c3416d4389724a51f83dc4157d61a2fb724b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.15588",
    "kind": "arxiv",
    "version": 6
  }
}