Pith Number

pith:PRRPGOCN

pith:2026:PRRPGOCN2P4PRRVWYGKGRF2L3I

not attested not anchored not stored refs pending

On the Linearity of Squarefree Powers of Edge Ideals

Ayesha Asloob Qureshi, Francesco Navarra, Naoki Terai

arxiv:2607.00838 v1 · 2026-07-01 · 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{PRRPGOCN2P4PRRVWYGKGRF2L3I}

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	2026-07-02T01:18:21.154177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c62f3384dd3f8f8c6b6c19468974bda12bd3cc52275386f061f09730448da56

Aliases

arxiv: 2607.00838 · arxiv_version: 2607.00838v1 · doi: 10.48550/arxiv.2607.00838 · pith_short_12: PRRPGOCN2P4P · pith_short_16: PRRPGOCN2P4PRRVW · pith_short_8: PRRPGOCN

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/PRRPGOCN2P4PRRVWYGKGRF2L3I \
  | 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: 7c62f3384dd3f8f8c6b6c19468974bda12bd3cc52275386f061f09730448da56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d37c4535ebc3beeb84e7f63f08cc8e7edafbb23bda5c00d26bc638748c66135b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-07-01T12:02:21Z",
    "title_canon_sha256": "63249ce015c3c6584bb365a590684d6a40a0ccbacdcd69460e41aa216df3c7db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00838",
    "kind": "arxiv",
    "version": 1
  }
}