Pith Number

pith:GLLXLNBM

pith:2016:GLLXLNBM5UANXJ3MCXPASAS23B

not attested not anchored not stored refs pending

Improper Twin Edge Coloring of Graphs

Marc Demange, Paniz Abedin, Saieed Akbari, Tinaz Ekim

arxiv:1601.02267 v2 · 2016-01-10 · cs.DM · 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{GLLXLNBM5UANXJ3MCXPASAS23B}

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	2026-05-18T01:04:04.124142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32d775b42ced00dba76c15de09025ad867cea3b543a045944d753d4a32beb17a

Aliases

arxiv: 1601.02267 · arxiv_version: 1601.02267v2 · doi: 10.48550/arxiv.1601.02267 · pith_short_12: GLLXLNBM5UAN · pith_short_16: GLLXLNBM5UANXJ3M · pith_short_8: GLLXLNBM

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/GLLXLNBM5UANXJ3MCXPASAS23B \
  | 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: 32d775b42ced00dba76c15de09025ad867cea3b543a045944d753d4a32beb17a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41711aa76047d96b66c488fbdeeed9949f17a44bf05b97893e635a00ebc0ab8d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-01-10T21:25:52Z",
    "title_canon_sha256": "c118c789913cb1f931f94ab97bed8d073321a4c56c3a4cd66a870726631b719e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02267",
    "kind": "arxiv",
    "version": 2
  }
}