Pith Number

pith:WFJJWLPK

pith:2015:WFJJWLPKBX2HWXSQTDPUY26RIY

not attested not anchored not stored refs pending

Enumeration of the facets of cut polytopes over some highly symmetric graphs

Mathieu Dutour Sikiric, Michel Deza

arxiv:1501.05407 v6 · 2015-01-22 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFJJWLPKBX2HWXSQTDPUY26RIY}

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	2026-05-18T02:09:54.259151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1529b2dea0df47b5e5098df4c6bd1463380b5b70aacbcc40f2ecee694bb662f

Aliases

arxiv: 1501.05407 · arxiv_version: 1501.05407v6 · doi: 10.48550/arxiv.1501.05407 · pith_short_12: WFJJWLPKBX2H · pith_short_16: WFJJWLPKBX2HWXSQ · pith_short_8: WFJJWLPK

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/WFJJWLPKBX2HWXSQTDPUY26RIY \
  | 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: b1529b2dea0df47b5e5098df4c6bd1463380b5b70aacbcc40f2ecee694bb662f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46b69a2e4ba47e8de668e03770a8083d44100196ab452614ef4108df62d99c6f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-22T06:58:09Z",
    "title_canon_sha256": "6b1432480bd51f6a44b2afd337e506d836c4f7526b14619ff513d1da14ecb726"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05407",
    "kind": "arxiv",
    "version": 6
  }
}