Pith Number

pith:N4SVO6JJ

pith:2021:N4SVO6JJW7DKGKNTXGRQAYKESM

not attested not anchored not stored refs pending

Classes of Explicit Phylogenetic Networks and their Biological and Mathematical Significance

Joan Carles Pons, Kristina Wicke, Laura Kubatko, Sungsik Kong

arxiv:2109.10251 v2 · 2021-09-21 · 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{N4SVO6JJW7DKGKNTXGRQAYKESM}

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	2026-07-05T03:49:42.334434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f25577929b7c6a329b3b9a300614493067d37135efde86debaa90ab82ba2cc1

Aliases

arxiv: 2109.10251 · arxiv_version: 2109.10251v2 · doi: 10.48550/arxiv.2109.10251 · pith_short_12: N4SVO6JJW7DK · pith_short_16: N4SVO6JJW7DKGKNT · pith_short_8: N4SVO6JJ

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/N4SVO6JJW7DKGKNTXGRQAYKESM \
  | 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: 6f25577929b7c6a329b3b9a300614493067d37135efde86debaa90ab82ba2cc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d45cf5c4fd09591d710ab40109d8bc5ee249d5ab8ae30a44633e612ea07be0ef",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2021-09-21T15:22:20Z",
    "title_canon_sha256": "18e42f16d8bb62adc77f6bab733618614c1996828df3a9f3edb6fdd0714b08b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.10251",
    "kind": "arxiv",
    "version": 2
  }
}