Pith Number

pith:MVFYXUJK

pith:2014:MVFYXUJKVJVWGMS32YJ26FQMNP

not attested not anchored not stored refs pending

Enumeration of copermanental graphs

Jinjun Ren, Shunyi Liu

arxiv:1411.0184 v3 · 2014-11-01 · 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{MVFYXUJKVJVWGMS32YJ26FQMNP}

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	2026-05-18T02:28:31.296913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

654b8bd12aaa6b63325bd613af160c6bdbef66b9c4f8788303449c118379ecfa

Aliases

arxiv: 1411.0184 · arxiv_version: 1411.0184v3 · doi: 10.48550/arxiv.1411.0184 · pith_short_12: MVFYXUJKVJVW · pith_short_16: MVFYXUJKVJVWGMS3 · pith_short_8: MVFYXUJK

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/MVFYXUJKVJVWGMS32YJ26FQMNP \
  | 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: 654b8bd12aaa6b63325bd613af160c6bdbef66b9c4f8788303449c118379ecfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "529e76df55121a77370326026e7eab7795cb477aec796a755f414fd0eace803a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-01T23:45:00Z",
    "title_canon_sha256": "f4d704976204c34b7aadfd61d44104c193ba0a642fa60f667ff43570a5b9e9e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0184",
    "kind": "arxiv",
    "version": 3
  }
}