Pith Number

pith:VNHLRTEL

pith:2015:VNHLRTELRS2FBHNKGH32BNYZAR

not attested not anchored not stored refs pending

Vertex-Coloring with Star-Defects

Michael A. Bekos, Michael Kaufmann, Patrizio Angelini, Vincenzo Roselli

arxiv:1512.02505 v2 · 2015-12-08 · cs.DS · 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{VNHLRTELRS2FBHNKGH32BNYZAR}

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	2026-05-18T01:18:25.101093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab4eb8cc8b8cb4509daa31f7a0b719044557afb389307eb3cc6ead57023d7ce8

Aliases

arxiv: 1512.02505 · arxiv_version: 1512.02505v2 · doi: 10.48550/arxiv.1512.02505 · pith_short_12: VNHLRTELRS2F · pith_short_16: VNHLRTELRS2FBHNK · pith_short_8: VNHLRTEL

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/VNHLRTELRS2FBHNKGH32BNYZAR \
  | 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: ab4eb8cc8b8cb4509daa31f7a0b719044557afb389307eb3cc6ead57023d7ce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91b55291955051a7e0317acf4456e8581dadea3b4f0a9d4a0e1333582f4ceb40",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-12-08T15:21:20Z",
    "title_canon_sha256": "3c026c50bce227d14a5fb9d410e1fc90cdc739158a0724f235511ce9c5c3e9f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02505",
    "kind": "arxiv",
    "version": 2
  }
}