Pith Number

pith:PBPKDZIN

pith:2015:PBPKDZINNSU4A35STV7V2BYKOY

not attested not anchored not stored refs pending

Approximately Counting H-Colourings is #BIS-Hard

Andreas Galanis, Leslie Ann Goldberg, Mark Jerrum

arxiv:1502.01335 v2 · 2015-02-04 · 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{PBPKDZINNSU4A35STV7V2BYKOY}

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	2026-05-18T01:13:31.067492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

785ea1e50d6ca9c06fb29d7f5d070a7621b1ca81595fdf474c9e26f286ceec66

Aliases

arxiv: 1502.01335 · arxiv_version: 1502.01335v2 · doi: 10.48550/arxiv.1502.01335 · pith_short_12: PBPKDZINNSU4 · pith_short_16: PBPKDZINNSU4A35S · pith_short_8: PBPKDZIN

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/PBPKDZINNSU4A35STV7V2BYKOY \
  | 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: 785ea1e50d6ca9c06fb29d7f5d070a7621b1ca81595fdf474c9e26f286ceec66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "619552ee3788ba3816f65386b64c53d6855285ef4d20a9348e69670ba18f6c8a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-02-04T20:57:56Z",
    "title_canon_sha256": "cd95f87dc0a8af6577e158921d29562c82f147ac9724f0ce5455f19e57ae58db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01335",
    "kind": "arxiv",
    "version": 2
  }
}