Pith Number

pith:WKTNIBDP

pith:2007:WKTNIBDPPSIKLJBNEXIXDU5RIU

not attested not anchored not stored refs pending

The Rank-Width of Edge-Colored Graphs

Mamadou Moustapha Kante, Michael Rao

arxiv:0709.1433 v5 · 2007-09-10 · 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{WKTNIBDPPSIKLJBNEXIXDU5RIU}

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	2026-05-18T02:48:10.305803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2a6d4046f7c90a5a42d25d171d3b1453e1a7fadb59482ef6a666ef2f526681d

Aliases

arxiv: 0709.1433 · arxiv_version: 0709.1433v5 · doi: 10.48550/arxiv.0709.1433 · pith_short_12: WKTNIBDPPSIK · pith_short_16: WKTNIBDPPSIKLJBN · pith_short_8: WKTNIBDP

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/WKTNIBDPPSIKLJBNEXIXDU5RIU \
  | 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: b2a6d4046f7c90a5a42d25d171d3b1453e1a7fadb59482ef6a666ef2f526681d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7df46a16c307dc764f36f3bf321b27d9f37c4913e0c89c631cd9750ff255529b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2007-09-10T16:17:20Z",
    "title_canon_sha256": "6e2a44bc8a637fb45023720da4dcdd366ce73eb8d1af0dcbbc6cd5daae10872f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.1433",
    "kind": "arxiv",
    "version": 5
  }
}