Pith Number

pith:MOPNNJSE

pith:2012:MOPNNJSE2YF4KCRR246HZESGT5

not attested not anchored not stored refs pending

CI-groups with respect to ternary relational structures: new examples

Edward Dobson, Pablo Spiga

arxiv:1202.4988 v1 · 2012-02-22 · 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{MOPNNJSE2YF4KCRR246HZESGT5}

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	2026-05-18T04:01:40.123809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

639ed6a644d60bc50a31d73c7c92469f7a1027ac8c21d22376454b6e7e17bd74

Aliases

arxiv: 1202.4988 · arxiv_version: 1202.4988v1 · doi: 10.48550/arxiv.1202.4988 · pith_short_12: MOPNNJSE2YF4 · pith_short_16: MOPNNJSE2YF4KCRR · pith_short_8: MOPNNJSE

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/MOPNNJSE2YF4KCRR246HZESGT5 \
  | 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: 639ed6a644d60bc50a31d73c7c92469f7a1027ac8c21d22376454b6e7e17bd74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b074de5b8cc5e90f3c71765db6d306cbacfc7eb6d5bee3735ca8b880cc8a41b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-22T17:48:38Z",
    "title_canon_sha256": "dfaac2930c6ff72b3fbd87d4ed41aa0979d3a697ec00377041b3bc0880d272a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4988",
    "kind": "arxiv",
    "version": 1
  }
}