Pith Number

pith:WJNCDZ4F

pith:2024:WJNCDZ4FFSTOCPH44ML367BBGR

not attested not anchored not stored refs pending

Bounds on the Treewidth of Level-k Rooted Phylogenetic Networks

Alexey Markin, Oliver Eulenstein, Sriram Vijendran

arxiv:2411.13380 v1 · 2024-11-20 · 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{WJNCDZ4FFSTOCPH44ML367BBGR}

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	2026-07-05T09:38:09.535096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b25a21e7852ca6e13cfce317bf7c21346600fc26bb11eb27b0ce57c41c3fba39

Aliases

arxiv: 2411.13380 · arxiv_version: 2411.13380v1 · doi: 10.48550/arxiv.2411.13380 · pith_short_12: WJNCDZ4FFSTO · pith_short_16: WJNCDZ4FFSTOCPH4 · pith_short_8: WJNCDZ4F

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/WJNCDZ4FFSTOCPH44ML367BBGR \
  | 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: b25a21e7852ca6e13cfce317bf7c21346600fc26bb11eb27b0ce57c41c3fba39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de00f0fa5aebc160d1b5b0bab1ec35d1ccb2ad1236422b88b6fae67974bec235",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2024-11-20T15:07:50Z",
    "title_canon_sha256": "ceb2dccc2b0a41c5fed6cd0efd94d1f113ca78b7e1c98e46d964681c73d1b8ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13380",
    "kind": "arxiv",
    "version": 1
  }
}