Pith Number

pith:HXK2UM3E

pith:2016:HXK2UM3E5RU374KWWU37J4GOY2

not attested not anchored not stored refs pending

A complexity trichotomy for approximately counting list H-colourings

Andreas Galanis, Leslie Ann Goldberg, Mark Jerrum

arxiv:1602.03985 v6 · 2016-02-12 · cs.CC · 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{HXK2UM3E5RU374KWWU37J4GOY2}

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	2026-05-18T00:53:20.995710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dd5aa3364ec69bff156b537f4f0cec692d68e607e701a2395298d6a1f4b6e52

Aliases

arxiv: 1602.03985 · arxiv_version: 1602.03985v6 · doi: 10.48550/arxiv.1602.03985 · pith_short_12: HXK2UM3E5RU3 · pith_short_16: HXK2UM3E5RU374KW · pith_short_8: HXK2UM3E

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/HXK2UM3E5RU374KWWU37J4GOY2 \
  | 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: 3dd5aa3364ec69bff156b537f4f0cec692d68e607e701a2395298d6a1f4b6e52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "868517208012840936d767527f509beab64758a1b0aa85271c085af42d5e5e81",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-02-12T09:14:23Z",
    "title_canon_sha256": "ba97d86373fabc911a2bb6a9ce28b4409f18c968f1d49801ed18fe27a1e4cb72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03985",
    "kind": "arxiv",
    "version": 6
  }
}