Pith Number

pith:BYX2TZ5U

pith:2016:BYX2TZ5UPF7BLC7GYPWT6Z3KN6

not attested not anchored not stored refs pending

Maximising $H$-Colourings of Graphs

Alex Scott, Hannah Guggiari

arxiv:1611.02911 v2 · 2016-11-09 · 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{BYX2TZ5UPF7BLC7GYPWT6Z3KN6}

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	2026-05-17T23:58:31.339851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e2fa9e7b4797e158be6c3ed3f676a6fa9bbab37f2012e2efc1d5c9df67692ff

Aliases

arxiv: 1611.02911 · arxiv_version: 1611.02911v2 · doi: 10.48550/arxiv.1611.02911 · pith_short_12: BYX2TZ5UPF7B · pith_short_16: BYX2TZ5UPF7BLC7G · pith_short_8: BYX2TZ5U

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/BYX2TZ5UPF7BLC7GYPWT6Z3KN6 \
  | 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: 0e2fa9e7b4797e158be6c3ed3f676a6fa9bbab37f2012e2efc1d5c9df67692ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bd8975bac38a766b7f85a6d8f3799fd39192df6c85b8f23baa9b7107882e2cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-09T13:11:06Z",
    "title_canon_sha256": "a9303f64f14a8af369a17429319aecc485cb20490cafdd34830efa5fd3362242"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02911",
    "kind": "arxiv",
    "version": 2
  }
}