Pith Number

pith:W7AD3ZFE

pith:2018:W7AD3ZFEYC477FPHT6T2PO5Z2X

not attested not anchored not stored refs pending

An infinite family of subcubic graphs with unbounded packing chromatic number

Bo\v{s}tjan Bre\v{s}ar, Jasmina Ferme

arxiv:1801.09871 v1 · 2018-01-30 · 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{W7AD3ZFEYC477FPHT6T2PO5Z2X}

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	2026-05-18T00:24:46.528389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7c03de4a4c0b9ff95e79fa7a7bbb9d5f7c7485b0842a1a21ae654f487c16aa1

Aliases

arxiv: 1801.09871 · arxiv_version: 1801.09871v1 · doi: 10.48550/arxiv.1801.09871 · pith_short_12: W7AD3ZFEYC47 · pith_short_16: W7AD3ZFEYC477FPH · pith_short_8: W7AD3ZFE

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/W7AD3ZFEYC477FPHT6T2PO5Z2X \
  | 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: b7c03de4a4c0b9ff95e79fa7a7bbb9d5f7c7485b0842a1a21ae654f487c16aa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20006dc4899298c91fc12f8b6ed9e282d7ca9a570586793d00aaf275bd81177a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-30T07:12:31Z",
    "title_canon_sha256": "fe72a844c8e7a412b6db697b89ef5975fc96d843a0f0bdfee8372b490d3a0a02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09871",
    "kind": "arxiv",
    "version": 1
  }
}