Pith Number

pith:X2DFIIHS

pith:2011:X2DFIIHSD2ZIWD5FYJ2SAVDLMY

not attested not anchored not stored refs pending

Stanley depth and complete $k$-partite hypergraphs

Muhammad Imran Qureshi, Muhammad Ishaq

arxiv:1104.2412 v2 · 2011-04-13 · 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{X2DFIIHSD2ZIWD5FYJ2SAVDLMY}

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	2026-05-18T04:01:23.775518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be865420f21eb28b0fa5c27520546b662695f9929e6e4c6c6bf97e3b67db1d47

Aliases

arxiv: 1104.2412 · arxiv_version: 1104.2412v2 · doi: 10.48550/arxiv.1104.2412 · pith_short_12: X2DFIIHSD2ZI · pith_short_16: X2DFIIHSD2ZIWD5F · pith_short_8: X2DFIIHS

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/X2DFIIHSD2ZIWD5FYJ2SAVDLMY \
  | 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: be865420f21eb28b0fa5c27520546b662695f9929e6e4c6c6bf97e3b67db1d47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc17251c366ff5776d9021ffb26d8c7c27f87c0f64e16b649558348412ba463b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-04-13T08:31:16Z",
    "title_canon_sha256": "f6423fcf0e2d61bf15e8ad55f039ce3c605b6c0686c17575938c2d0ce6c53d41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2412",
    "kind": "arxiv",
    "version": 2
  }
}