Pith Number

pith:LJBPV2XQ

pith:2024:LJBPV2XQ6UPGTAFQ5Y2JMOE42K

not attested not anchored not stored refs pending

Bounding the number of reticulation events for displaying multiple trees in a phylogenetic network

Louxin Zhang, Yufeng Wu

arxiv:2408.14202 v1 · 2024-08-26 · q-bio.PE · 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{LJBPV2XQ6UPGTAFQ5Y2JMOE42K}

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	2026-07-05T08:59:17.682365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a42faeaf0f51e6980b0ee3496389cd2bdfd436748d274c52340840d673c0677

Aliases

arxiv: 2408.14202 · arxiv_version: 2408.14202v1 · doi: 10.48550/arxiv.2408.14202 · pith_short_12: LJBPV2XQ6UPG · pith_short_16: LJBPV2XQ6UPGTAFQ · pith_short_8: LJBPV2XQ

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/LJBPV2XQ6UPGTAFQ5Y2JMOE42K \
  | 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: 5a42faeaf0f51e6980b0ee3496389cd2bdfd436748d274c52340840d673c0677

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cb6847ebbc782b646ed02d5260d8d57aafee22aa1dc15397e31cd289709d219",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2024-08-26T12:00:17Z",
    "title_canon_sha256": "4854850a8d12aff38ea6a102290dd771c32765bdfa727591155346f19b591f8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.14202",
    "kind": "arxiv",
    "version": 1
  }
}