Pith Number

pith:WXF6PIGP

pith:2009:WXF6PIGPFPDAKGVDTOR4NFUQ6W

not attested not anchored not stored refs pending

Regularity, Depth and Arithmetic Rank of Bipartite Edge Ideals

Manoj Kummini

arxiv:0902.0437 v1 · 2009-02-03 · 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{WXF6PIGPFPDAKGVDTOR4NFUQ6W}

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	2026-05-18T03:39:29.719824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5cbe7a0cf2bc6051aa39ba3c69690f5931a106593c51a7275bb32a036893cdb

Aliases

arxiv: 0902.0437 · arxiv_version: 0902.0437v1 · doi: 10.48550/arxiv.0902.0437 · pith_short_12: WXF6PIGPFPDA · pith_short_16: WXF6PIGPFPDAKGVD · pith_short_8: WXF6PIGP

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/WXF6PIGPFPDAKGVDTOR4NFUQ6W \
  | 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: b5cbe7a0cf2bc6051aa39ba3c69690f5931a106593c51a7275bb32a036893cdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e32b6f18546d0d9b704a7053a1882e2973c1496bb55f6e6200157c3492b4017",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-02-03T07:07:54Z",
    "title_canon_sha256": "1f6a3d9c4f62c2992a6f8157eed96bd004e3416fbe5a978de3014750b5fa880f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0437",
    "kind": "arxiv",
    "version": 1
  }
}