Pith Number

pith:HEXN2AHQ

pith:2026:HEXN2AHQYWHJ55EWCM3FTM7VUV

not attested not anchored not stored refs pending

Coatom Enumeration in Hypergraph Horn Functions: Rank-Three Representations of Horn Model Posets

Jianshen Zhu

arxiv:2608.06820 v1 · 2026-08-07 · math.CO · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HEXN2AHQYWHJ55EWCM3FTM7VUV}

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	2026-08-10T01:12:11.411284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

392edd00f0c58e9ef496133659b3f5a55945db41ccb8b50f7a80f0663374facc

Aliases

arxiv: 2608.06820 · arxiv_version: 2608.06820v1 · doi: 10.48550/arxiv.2608.06820 · pith_short_12: HEXN2AHQYWHJ · pith_short_16: HEXN2AHQYWHJ55EW · pith_short_8: HEXN2AHQ

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/HEXN2AHQYWHJ55EWCM3FTM7VUV \
  | 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: 392edd00f0c58e9ef496133659b3f5a55945db41ccb8b50f7a80f0663374facc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61324d6f5ca16e3a8b87763451748ad04f51739d8019b9db31f75b27aff648ec",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-07T05:20:16Z",
    "title_canon_sha256": "d800b814add06f5b91f2a60b78801e961fbe2e73538837f88c77607b4641ba9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06820",
    "kind": "arxiv",
    "version": 1
  }
}