Pith Number

pith:YCMWVRPV

pith:2025:YCMWVRPVMWDSVLQ37DX5AD57HB

not attested not anchored not stored refs pending

The $h$-vectors of toric ideals of odd cycle compositions revisited

Adam Van Tuyl, Kieran Bhaskara, Sasha Zotine

arxiv:2504.13087 v1 · 2025-04-17 · math.AC · 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{YCMWVRPVMWDSVLQ37DX5AD57HB}

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	2026-07-05T10:50:37.268007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0996ac5f565872aae1bf8efd00fbf38697d8e7be6c455a0bddfa1a7acb5832c

Aliases

arxiv: 2504.13087 · arxiv_version: 2504.13087v1 · doi: 10.48550/arxiv.2504.13087 · pith_short_12: YCMWVRPVMWDS · pith_short_16: YCMWVRPVMWDSVLQ3 · pith_short_8: YCMWVRPV

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/YCMWVRPVMWDSVLQ37DX5AD57HB \
  | 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: c0996ac5f565872aae1bf8efd00fbf38697d8e7be6c455a0bddfa1a7acb5832c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9636afbfa6fd96daf48651d043adf21b3e79cebea6a3000e7aedbdf517139177",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-04-17T16:55:17Z",
    "title_canon_sha256": "09d1373ff86511a841cd094e9a5b8a25a9d75ceb0f4c7797b3217423bb7f7956"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.13087",
    "kind": "arxiv",
    "version": 1
  }
}