Pith Number

pith:ZRYZCNHS

pith:2026:ZRYZCNHSA4E3H2BPWSHFGDJQNF

not attested not anchored not stored refs pending

Quasi-birth-and-death processes evolving within trees: Applications to comparative phylogenetics

Barbara R. Holland, Habtu Kiros Nigus, Malgorzata M. O'Reilly

arxiv:2606.04551 v1 · 2026-06-03 · q-bio.PE · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZRYZCNHSA4E3H2BPWSHFGDJQNF}

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	2026-06-04T01:09:17.663396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc719134f20709b3e82fb48e530d30694f977687eb9b696b9155fdbc635a4426

Aliases

arxiv: 2606.04551 · arxiv_version: 2606.04551v1 · doi: 10.48550/arxiv.2606.04551 · pith_short_12: ZRYZCNHSA4E3 · pith_short_16: ZRYZCNHSA4E3H2BP · pith_short_8: ZRYZCNHS

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/ZRYZCNHSA4E3H2BPWSHFGDJQNF \
  | 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: cc719134f20709b3e82fb48e530d30694f977687eb9b696b9155fdbc635a4426

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73fddea3caa1f1f3f4f4b9d2ce53774808e5851d4c643bac314b31e262ea2920",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2026-06-03T07:38:16Z",
    "title_canon_sha256": "a92caef144d8546236f68d57dc3ee87a072376f2e50ff5989032dad6fe95f840"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04551",
    "kind": "arxiv",
    "version": 1
  }
}