Pith Number

pith:ES4K2SHW

pith:2025:ES4K2SHWQB2TUFUIROJDRUUY4Z

not attested not anchored not stored refs pending

Many pentagons in triple systems

Dhruv Mubayi, Jozsef Solymosi

arxiv:2501.15861 v2 · 2025-01-27 · 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{ES4K2SHWQB2TUFUIROJDRUUY4Z}

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	2026-07-05T10:14:50.048505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24b8ad48f680753a16888b9238d298e66840d8bc6f1e541d32d7159d79f3afba

Aliases

arxiv: 2501.15861 · arxiv_version: 2501.15861v2 · doi: 10.48550/arxiv.2501.15861 · pith_short_12: ES4K2SHWQB2T · pith_short_16: ES4K2SHWQB2TUFUI · pith_short_8: ES4K2SHW

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/ES4K2SHWQB2TUFUIROJDRUUY4Z \
  | 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: 24b8ad48f680753a16888b9238d298e66840d8bc6f1e541d32d7159d79f3afba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "828a32d0a4d6f6aa90ed39f0baf7d0d581d03eae28665871078c36b3a1887601",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-27T08:40:53Z",
    "title_canon_sha256": "46238ff4dcc4ae6dcb5e780bea645db6e631d8ab8da3f6a48e9807b7464a488b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.15861",
    "kind": "arxiv",
    "version": 2
  }
}