Pith Number

pith:BWTEYK54

pith:2025:BWTEYK54YFFTGHNS3CLRKVTGXI

not attested not anchored not stored refs pending

Convex Geometries via Hopf Monoids: Combinatorial Invariants, Reciprocity, and Supersolvability

Yichen Ma

arxiv:2506.00380 v2 · 2025-05-31 · 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{BWTEYK54YFFTGHNS3CLRKVTGXI}

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	2026-07-05T11:28:17.033491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0da64c2bbcc14b331db2d897155666ba2e54515b67e2a48632697b14600c6ef5

Aliases

arxiv: 2506.00380 · arxiv_version: 2506.00380v2 · doi: 10.48550/arxiv.2506.00380 · pith_short_12: BWTEYK54YFFT · pith_short_16: BWTEYK54YFFTGHNS · pith_short_8: BWTEYK54

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/BWTEYK54YFFTGHNS3CLRKVTGXI \
  | 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: 0da64c2bbcc14b331db2d897155666ba2e54515b67e2a48632697b14600c6ef5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24aea46e9fdc9280809154190aa801e2184d265ff13d4ab40c1b835d949b4020",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-31T04:16:07Z",
    "title_canon_sha256": "dd976c2f6548f11fcc6185ae397328bf686b6c1f6891c3bdfdb8ff1d775648de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.00380",
    "kind": "arxiv",
    "version": 2
  }
}