Pith Number

pith:W4NNDUVF

pith:2017:W4NNDUVFPPYWXQFZIDJXSJKS32

not attested not anchored not stored refs pending

On density of subgraphs of halved cubes

Arnaud Labourel, S\'ebastien Ratel, Victor Chepoi

arxiv:1711.11414 v2 · 2017-11-30 · cs.DM · 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{W4NNDUVFPPYWXQFZIDJXSJKS32}

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	2026-05-18T00:28:40.119995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b71ad1d2a57bf16bc0b940d3792552de94ffdb6c2dd6b7cfd6542d0c86ae8bec

Aliases

arxiv: 1711.11414 · arxiv_version: 1711.11414v2 · doi: 10.48550/arxiv.1711.11414 · pith_short_12: W4NNDUVFPPYW · pith_short_16: W4NNDUVFPPYWXQFZ · pith_short_8: W4NNDUVF

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/W4NNDUVFPPYWXQFZIDJXSJKS32 \
  | 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: b71ad1d2a57bf16bc0b940d3792552de94ffdb6c2dd6b7cfd6542d0c86ae8bec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26610d26cfeb8991a81631488241a624f70990c19a47d31f18e69eca7d3a0d32",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-11-30T14:21:59Z",
    "title_canon_sha256": "048de76cd28b29733de41cc8f621bd606abb47073e8ed33b551f23b5fd938af6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.11414",
    "kind": "arxiv",
    "version": 2
  }
}