Pith Number

pith:7WGK6BN6

pith:2011:7WGK6BN6DGJCBKG4QLEQMYB4W5

not attested not anchored not stored refs pending

Counting Homomorphisms and Partition Functions

Marc Thurley, Martin Grohe

arxiv:1104.0185 v3 · 2011-04-01 · cs.CC · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7WGK6BN6DGJCBKG4QLEQMYB4W5}

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	2026-05-18T04:21:50.355992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd8caf05be199220a8dc82c906603cb77b24f8589922866c2eb0f17c618437c3

Aliases

arxiv: 1104.0185 · arxiv_version: 1104.0185v3 · doi: 10.48550/arxiv.1104.0185 · pith_short_12: 7WGK6BN6DGJC · pith_short_16: 7WGK6BN6DGJCBKG4 · pith_short_8: 7WGK6BN6

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/7WGK6BN6DGJCBKG4QLEQMYB4W5 \
  | 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: fd8caf05be199220a8dc82c906603cb77b24f8589922866c2eb0f17c618437c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9da419fec70ecbc81e5344f350f1a0665286583e1f09a8d3178a2b78e1918a5d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2011-04-01T14:35:01Z",
    "title_canon_sha256": "67db7b0745c3507a8585cb48b19aa44a41fa411ed59ada9be4c23418b8403070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0185",
    "kind": "arxiv",
    "version": 3
  }
}