Pith Number

pith:SQOX7MAM

pith:2024:SQOX7MAMRYFNARSVQ5BQ5I3AJV

not attested not anchored not stored refs pending

The $B_2$ index of galled trees

Fran\c{c}ois Bienvenu, Jean-Jil Duchamps, Michael Fuchs, Tsan-Cheng Yu

arxiv:2407.19454 v2 · 2024-07-28 · q-bio.PE · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SQOX7MAMRYFNARSVQ5BQ5I3AJV}

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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

1 paper in Pith

A parameterized family of balance indices for phylogenetic networks

Receipt and verification

First computed	2026-06-10T01:09:12.306131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

941d7fb00c8e0ad0465587430ea3604d41dd243bd65ba99ead9af5404caacc65

Aliases

arxiv: 2407.19454 · arxiv_version: 2407.19454v2 · doi: 10.48550/arxiv.2407.19454 · pith_short_12: SQOX7MAMRYFN · pith_short_16: SQOX7MAMRYFNARSV · pith_short_8: SQOX7MAM

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/SQOX7MAMRYFNARSVQ5BQ5I3AJV \
  | 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: 941d7fb00c8e0ad0465587430ea3604d41dd243bd65ba99ead9af5404caacc65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86799c285fccd788e7db61afd91150ac4a3adc6eb932d8e8d5eb932920c57b13",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2024-07-28T10:11:36Z",
    "title_canon_sha256": "e3afdc2900369704186bdd123bbabd2f8e3aa99b5e587df4414d7191df31b8df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.19454",
    "kind": "arxiv",
    "version": 2
  }
}