Pith Number

pith:B2TQJ2T7

pith:2024:B2TQJ2T7XBABKKMHHO26XTXUOF

not attested not anchored not stored refs pending

A new proof of the Herzog-Hibi-Zheng theorem

Antonino Ficarra

arxiv:2409.15853 v3 · 2024-09-24 · 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{B2TQJ2T7XBABKKMHHO26XTXUOF}

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.

Cited by

1 paper in Pith

Powers of Edge Ideals with Linear Quotients

Receipt and verification

First computed	2026-07-05T10:00:41.543129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ea704ea7fb8401529873bb5ebcef4715a31cc50dfc3a3dcd80e826faa9bc2fb

Aliases

arxiv: 2409.15853 · arxiv_version: 2409.15853v3 · doi: 10.48550/arxiv.2409.15853 · pith_short_12: B2TQJ2T7XBAB · pith_short_16: B2TQJ2T7XBABKKMH · pith_short_8: B2TQJ2T7

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/B2TQJ2T7XBABKKMHHO26XTXUOF \
  | 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: 0ea704ea7fb8401529873bb5ebcef4715a31cc50dfc3a3dcd80e826faa9bc2fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68eecabf028b4dda682db11fdad01d2e540d0071a9099ac0d28c956b29f615c0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-09-24T08:25:55Z",
    "title_canon_sha256": "d42f34db1dc77bf6c487523622427192e2ee8b89f52814ab3f9570f3919fd9cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.15853",
    "kind": "arxiv",
    "version": 3
  }
}