Pith Number

pith:UI4CXMDI

pith:2012:UI4CXMDIOVQYS7T6HHQRK3KROH

not attested not anchored not stored refs pending

Graphical Cyclic Permutation Groups

Mariusz Grech

arxiv:1210.6804 v1 · 2012-10-25 · 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{UI4CXMDIOVQYS7T6HHQRK3KROH}

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	2026-05-18T03:42:23.100713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2382bb0687561897e7e39e1156d5171d77cec438ec2476a2efd54c3df7c2394

Aliases

arxiv: 1210.6804 · arxiv_version: 1210.6804v1 · doi: 10.48550/arxiv.1210.6804 · pith_short_12: UI4CXMDIOVQY · pith_short_16: UI4CXMDIOVQYS7T6 · pith_short_8: UI4CXMDI

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/UI4CXMDIOVQYS7T6HHQRK3KROH \
  | 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: a2382bb0687561897e7e39e1156d5171d77cec438ec2476a2efd54c3df7c2394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "150a568f4a06e76f48064fb13a3b7463105f79c051a33e5c4faa3172e4b1c1e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-25T12:09:57Z",
    "title_canon_sha256": "fa2bb09dfbb7666c8c0b00f3e56b1bcd6efa4f54ab4db598d1e6daabb02140bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6804",
    "kind": "arxiv",
    "version": 1
  }
}