Pith Number

pith:PQX5OXPE

pith:2015:PQX5OXPEZ5JOURGHXLJB6I73BV

not attested not anchored not stored refs pending

Coincidence indices of sublattices and coincidences of colorings

Manuel Joseph C. Loquias, Peter Zeiner

arxiv:1506.00028 v2 · 2015-05-29 · math.MG · 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{PQX5OXPEZ5JOURGHXLJB6I73BV}

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	2026-05-18T01:25:39.010586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c2fd75de4cf52ea44c7bad21f23fb0d4de0e516c390856a5efdf88203751dd3

Aliases

arxiv: 1506.00028 · arxiv_version: 1506.00028v2 · doi: 10.48550/arxiv.1506.00028 · pith_short_12: PQX5OXPEZ5JO · pith_short_16: PQX5OXPEZ5JOURGH · pith_short_8: PQX5OXPE

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/PQX5OXPEZ5JOURGHXLJB6I73BV \
  | 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: 7c2fd75de4cf52ea44c7bad21f23fb0d4de0e516c390856a5efdf88203751dd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f6e6feeebd1ea4b21298e08bde3939c2a36f6ebf242980968bfd7f120540373",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-05-29T20:50:19Z",
    "title_canon_sha256": "d67fe101529d461969dac3d95b0b96d605dfd3c44a1c073988054d556cf6146e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00028",
    "kind": "arxiv",
    "version": 2
  }
}