Pith Number

pith:TIZ35CIV

pith:2026:TIZ35CIVLHQMFBEYJKISAEGNGE

not attested not anchored not stored refs pending

The parental parsimony problem on binary, tree-child phylogenetic networks

Martin Frohn

arxiv:2606.26919 v1 · 2026-06-25 · math.OC · 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{TIZ35CIVLHQMFBEYJKISAEGNGE}

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	2026-06-26T01:16:04.104637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a33be891559e0c284984a912010cd3102b5e7864c43a5e00d3f3f113644bf21

Aliases

arxiv: 2606.26919 · arxiv_version: 2606.26919v1 · doi: 10.48550/arxiv.2606.26919 · pith_short_12: TIZ35CIVLHQM · pith_short_16: TIZ35CIVLHQMFBEY · pith_short_8: TIZ35CIV

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/TIZ35CIVLHQMFBEYJKISAEGNGE \
  | 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: 9a33be891559e0c284984a912010cd3102b5e7864c43a5e00d3f3f113644bf21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b89db653347570c9f56790e5c601e9aca500aec37aa66e92fbea502c66a6856c",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-25T11:57:03Z",
    "title_canon_sha256": "018897f23abd81baf7cb377ecaf82605e92b01c7020ee8cf07cc66cefe7c40ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26919",
    "kind": "arxiv",
    "version": 1
  }
}