Pith Number

pith:6YKTTO2O

pith:2026:6YKTTO2ODFUYUL5N2MTMTQVANX

not attested not anchored not stored refs pending

The $\ominus$-metric to compare phylogenetic networks

Guillaume E. Scholz, Manuel Lafond, Marc Hellmuth

arxiv:2607.08259 v1 · 2026-07-09 · 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{6YKTTO2ODFUYUL5N2MTMTQVANX}

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	2026-07-10T01:19:31.117081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f61539bb4e19698a2fadd326c9c2a06dd279f0c082c95ba35326c23e85104a55

Aliases

arxiv: 2607.08259 · arxiv_version: 2607.08259v1 · doi: 10.48550/arxiv.2607.08259 · pith_short_12: 6YKTTO2ODFUY · pith_short_16: 6YKTTO2ODFUYUL5N · pith_short_8: 6YKTTO2O

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/6YKTTO2ODFUYUL5N2MTMTQVANX \
  | 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: f61539bb4e19698a2fadd326c9c2a06dd279f0c082c95ba35326c23e85104a55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9ed8f11bde89ebe4192b652a684079d882261f6833a2f417b0088b2e706e419",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2026-07-09T09:04:48Z",
    "title_canon_sha256": "c3651dd30170f53478c1a6c2e9606f307c67aeeb3f7810a8ed750b48a1d1f6c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08259",
    "kind": "arxiv",
    "version": 1
  }
}