Pith Number

pith:MAWEEEM6

pith:2019:MAWEEEM6PP7CKQH2LZLF4WLR7P

not attested not anchored not stored refs pending

Symmetries of shamrocks IV: The self-complementary case

Mihai Ciucu

arxiv:1906.02022 v1 · 2019-06-05 · math.CO · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MAWEEEM6PP7CKQH2LZLF4WLR7P}

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	2026-05-17T23:44:05.422753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

602c42119e7bfe2540fa5e565e5971fbcf12787d3cb8c938de7fa273e9eff290

Aliases

arxiv: 1906.02022 · arxiv_version: 1906.02022v1 · doi: 10.48550/arxiv.1906.02022 · pith_short_12: MAWEEEM6PP7C · pith_short_16: MAWEEEM6PP7CKQH2 · pith_short_8: MAWEEEM6

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/MAWEEEM6PP7CKQH2LZLF4WLR7P \
  | 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: 602c42119e7bfe2540fa5e565e5971fbcf12787d3cb8c938de7fa273e9eff290

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "644c9c96c51414219d63e418ed1fab982a90dd3165d47871793c6990788dc9b9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-05T13:33:08Z",
    "title_canon_sha256": "f02c4d38d7d5771c9079c274a8a85e5eea5101466b6043a7ddb7d04e4e9a0d9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.02022",
    "kind": "arxiv",
    "version": 1
  }
}