Pith Number

pith:VO2JSW62

pith:2016:VO2JSW62QJ5PTOFFWP3ITBVMWU

not attested not anchored not stored refs pending

Edge-colorings of graphs avoiding complete graphs with a prescribed coloring

Carlos Hoppen, Fabricio S. Benevides, Rudini Menezes Sampaio

arxiv:1605.08013 v2 · 2016-05-25 · 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{VO2JSW62QJ5PTOFFWP3ITBVMWU}

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	2026-05-18T01:13:30.112046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abb4995bda827af9b8a5b3f68986acb53bf959695e0544618d6cf13e0528342c

Aliases

arxiv: 1605.08013 · arxiv_version: 1605.08013v2 · doi: 10.48550/arxiv.1605.08013 · pith_short_12: VO2JSW62QJ5P · pith_short_16: VO2JSW62QJ5PTOFF · pith_short_8: VO2JSW62

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/VO2JSW62QJ5PTOFFWP3ITBVMWU \
  | 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: abb4995bda827af9b8a5b3f68986acb53bf959695e0544618d6cf13e0528342c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd5b89a3087555d0e04736a061e14e32c26943e652bed05745548ae50a11b22b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-25T19:20:09Z",
    "title_canon_sha256": "cddc00032068f7a468836be4fb0b31bd76509eebf2a63281e938f83d0f5d7c2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08013",
    "kind": "arxiv",
    "version": 2
  }
}