Pith Number

pith:J7KNKKMX

pith:2011:J7KNKKMXENRC5VRF3NTVAI7YJH

not attested not anchored not stored refs pending

Counting dimer coverings on self-similar Schreier graphs

Alfredo Donno, Daniele D'Angeli, Tatiana Nagnibeda

arxiv:1109.1190 v2 · 2011-09-06 · 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{J7KNKKMXENRC5VRF3NTVAI7YJH}

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	2026-05-18T03:41:44.249448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fd4d5299723622ed625db675023f849da1f002db33c4a20319ad6d85730eda5

Aliases

arxiv: 1109.1190 · arxiv_version: 1109.1190v2 · doi: 10.48550/arxiv.1109.1190 · pith_short_12: J7KNKKMXENRC · pith_short_16: J7KNKKMXENRC5VRF · pith_short_8: J7KNKKMX

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/J7KNKKMXENRC5VRF3NTVAI7YJH \
  | 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: 4fd4d5299723622ed625db675023f849da1f002db33c4a20319ad6d85730eda5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "531a0796df37f567d79f1f8248a0f5cfd192243bf2d4c7160e052dc4f21aa094",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-06T14:02:20Z",
    "title_canon_sha256": "034fd4cd4e8b576aa819c8f9c35dccdf7a6e40292fab244e04e3d512d2371b5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1190",
    "kind": "arxiv",
    "version": 2
  }
}