Pith Number

pith:DPLE4LGE

pith:2023:DPLE4LGEGT6RFQIX6QWX3WLAIX

not attested not anchored not stored refs pending

Graph Parameters, Universal Obstructions, and WQO

Christophe Paul, Dimitrios M. Thilikos, Evangelos Protopapas

arxiv:2304.03688 v4 · 2023-04-07 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DPLE4LGEGT6RFQIX6QWX3WLAIX}

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

2 papers in Pith

Obstructions for Minor-Closed Classes of limiting Densities Below 3/2

An Overview of Universal Obstructions for Graph Parameters

Receipt and verification

First computed	2026-07-05T09:39:18.623618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bd64e2cc434fd12c117f42d7dd96045e66dc32b4242693061329c7c7ab1097b

Aliases

arxiv: 2304.03688 · arxiv_version: 2304.03688v4 · doi: 10.48550/arxiv.2304.03688 · pith_short_12: DPLE4LGEGT6R · pith_short_16: DPLE4LGEGT6RFQIX · pith_short_8: DPLE4LGE

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/DPLE4LGEGT6RFQIX6QWX3WLAIX \
  | 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: 1bd64e2cc434fd12c117f42d7dd96045e66dc32b4242693061329c7c7ab1097b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4209263e8188436cdf549c711f110d7a1ef8a1800ff8047b098185d45bc2e835",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-04-07T15:14:22Z",
    "title_canon_sha256": "4c683a6e2006c4aae1f7d1dfb86d2c99d598d4c3452f04705f80bceb0212bf0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.03688",
    "kind": "arxiv",
    "version": 4
  }
}