Pith Number

pith:KNFRJ5XJ

pith:2026:KNFRJ5XJMWFMPFY2SHG3FIAKN2

not attested not anchored not stored refs pending

An algebraic study of ideals of weak graph homomorphisms

Ayesha Asloob Qureshi, Francesco Navarra, Seyed Amin Seyed Fakhari

arxiv:2606.26689 v1 · 2026-06-25 · 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{KNFRJ5XJMWFMPFY2SHG3FIAKN2}

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	2026-06-26T01:15:56.852866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

534b14f6e9658ac7971a91cdb2a00a6e85d50f0a65b43abf3309f1a53d2786f2

Aliases

arxiv: 2606.26689 · arxiv_version: 2606.26689v1 · doi: 10.48550/arxiv.2606.26689 · pith_short_12: KNFRJ5XJMWFM · pith_short_16: KNFRJ5XJMWFMPFY2 · pith_short_8: KNFRJ5XJ

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/KNFRJ5XJMWFMPFY2SHG3FIAKN2 \
  | 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: 534b14f6e9658ac7971a91cdb2a00a6e85d50f0a65b43abf3309f1a53d2786f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72559f797e3e895f7fe6fdfa27e6d6e53d40d1f12a16147abd192ae4470742cc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-06-25T07:19:59Z",
    "title_canon_sha256": "39a3dd83f1086cf7ce05460a82af1236609e07dfb7b9466290901036d4c7745e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26689",
    "kind": "arxiv",
    "version": 1
  }
}