Pith Number

pith:7SHTV3BZ

pith:2016:7SHTV3BZGNNIXQGGKUEFMQOCQG

not attested not anchored not stored refs pending

Circular Backbone Colorings: on matching and tree backbones of planar graphs

Alexandre Cezar, Ana Silva, Fabricio Benevides, Julio Araujo

arxiv:1604.05958 v1 · 2016-04-20 · 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{7SHTV3BZGNNIXQGGKUEFMQOCQG}

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	2026-05-18T01:16:34.093882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc8f3aec39335a8bc0c655085641c281add11bbc830d8ae2bcb632292a759e5c

Aliases

arxiv: 1604.05958 · arxiv_version: 1604.05958v1 · doi: 10.48550/arxiv.1604.05958 · pith_short_12: 7SHTV3BZGNNI · pith_short_16: 7SHTV3BZGNNIXQGG · pith_short_8: 7SHTV3BZ

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/7SHTV3BZGNNIXQGGKUEFMQOCQG \
  | 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: fc8f3aec39335a8bc0c655085641c281add11bbc830d8ae2bcb632292a759e5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a40483c5a12d9d06f9716a85c8678460ddc821b6c988daa3f1cf364225f29fd4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-04-20T13:50:14Z",
    "title_canon_sha256": "2e0493bce7d5c43542209f9582d8a7761e85bc2bca700358cac4ee9730fc7190"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05958",
    "kind": "arxiv",
    "version": 1
  }
}