Pith Number

pith:6XBQ4E7V

pith:2024:6XBQ4E7V33QCIGFMAPPYTGJPKJ

not attested not anchored not stored refs pending

Combinatorial invariants of finite metric spaces and the Wasserstein arrangement

Emanuele Delucchi, Leonie M\"uhlherr, Lukas K\"uhne

arxiv:2408.15584 v4 · 2024-08-28 · 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{6XBQ4E7V33QCIGFMAPPYTGJPKJ}

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	2026-06-23T03:13:43.686196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5c30e13f5dee02418ac03df89992f526996da07ca34ff1ed809b71e85f29e65

Aliases

arxiv: 2408.15584 · arxiv_version: 2408.15584v4 · doi: 10.48550/arxiv.2408.15584 · pith_short_12: 6XBQ4E7V33QC · pith_short_16: 6XBQ4E7V33QCIGFM · pith_short_8: 6XBQ4E7V

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/6XBQ4E7V33QCIGFMAPPYTGJPKJ \
  | 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: f5c30e13f5dee02418ac03df89992f526996da07ca34ff1ed809b71e85f29e65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "861c847c60077018373ac91a1695793d01ad5dc794c08eff367cb1adefa04797",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-08-28T07:21:11Z",
    "title_canon_sha256": "3c55e2f26a7e84cb9d88b0e50f22374d43c882cdd61eabcdf3ca1258ccd8b335"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.15584",
    "kind": "arxiv",
    "version": 4
  }
}