Pith Number

pith:U3QI4S5T

pith:2026:U3QI4S5T6CFZRGAVE4OJQMBFFF

not attested not anchored not stored refs pending

Asymptotic Counting of Binary Phylogenetic Networks

Hao Yu, Louxin Zhang

arxiv:2605.23126 v1 · 2026-05-22 · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U3QI4S5T6CFZRGAVE4OJQMBFFF}

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	2026-05-25T02:01:39.477700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6e08e4bb3f08b989815271c983025296d7bfcd0b35716437e03b9aa488cda86

Aliases

arxiv: 2605.23126 · arxiv_version: 2605.23126v1 · doi: 10.48550/arxiv.2605.23126 · pith_short_12: U3QI4S5T6CFZ · pith_short_16: U3QI4S5T6CFZRGAV · pith_short_8: U3QI4S5T

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/U3QI4S5T6CFZRGAVE4OJQMBFFF \
  | 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: a6e08e4bb3f08b989815271c983025296d7bfcd0b35716437e03b9aa488cda86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27e21d821438de276752fc778d3ae0978d59db972e47bf32c629f064cfc497f8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2026-05-22T00:53:11Z",
    "title_canon_sha256": "e73b783ee73c1eb2b5f4189b97916daf8e0ee7b9f31fecab3507d0205593a60a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23126",
    "kind": "arxiv",
    "version": 1
  }
}