Pith Number

pith:V7WCPKMK

pith:2015:V7WCPKMKCUSBBMPZ4ZSBN4VVXR

not attested not anchored not stored refs pending

$k$-intersection edge-coloring subcubic planar multigraphs

M. Santana

arxiv:1506.03151 v1 · 2015-06-10 · 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{V7WCPKMKCUSBBMPZ4ZSBN4VVXR}

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	2026-05-18T01:55:31.390472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afec27a98a152410b1f9e66416f2b5bc4fb92c18345b19e01aadb1e8093b52bc

Aliases

arxiv: 1506.03151 · arxiv_version: 1506.03151v1 · doi: 10.48550/arxiv.1506.03151 · pith_short_12: V7WCPKMKCUSB · pith_short_16: V7WCPKMKCUSBBMPZ · pith_short_8: V7WCPKMK

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/V7WCPKMKCUSBBMPZ4ZSBN4VVXR \
  | 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: afec27a98a152410b1f9e66416f2b5bc4fb92c18345b19e01aadb1e8093b52bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0203093e9f5b677cdfc1eb3f6a5910c2e62a4ea74063877197025fbcf66dc0cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-10T02:43:32Z",
    "title_canon_sha256": "18f66891e00ceb5960dcbf91c3ad48b31e7e67ca6464721f54d870b6b81810eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03151",
    "kind": "arxiv",
    "version": 1
  }
}