Pith Number

pith:QIUBYJXD

pith:2026:QIUBYJXD4KNGI24ZSKKQKEAB7K

not attested not anchored not stored refs pending

Semialgebraic Conditions for Identifying Triangles in Phylogenetic Networks

Aviva K. Englander, Bryan Currie, Christin Sum, Colby Long, Devon Olds, Elizabeth Gross, Jose A. Esparza-Lozano, Kawika O'Connor, Max Hill, Udani Ranasinghe

arxiv:2606.26673 v1 · 2026-06-25 · 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{QIUBYJXD4KNGI24ZSKKQKEAB7K}

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	2026-06-26T01:15:56.480925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82281c26e3e29a646b999295051001fabbf497ed380bcc4fa7eb46f9101ce64d

Aliases

arxiv: 2606.26673 · arxiv_version: 2606.26673v1 · doi: 10.48550/arxiv.2606.26673 · pith_short_12: QIUBYJXD4KNG · pith_short_16: QIUBYJXD4KNGI24Z · pith_short_8: QIUBYJXD

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/QIUBYJXD4KNGI24ZSKKQKEAB7K \
  | 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: 82281c26e3e29a646b999295051001fabbf497ed380bcc4fa7eb46f9101ce64d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c426ffe95579730a356174be653f10ab677271bdc3ccd2d336be46292e676f47",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2026-06-25T07:08:08Z",
    "title_canon_sha256": "8212564cd1feba15cfa077fe93c9e7125e78d6f35a40c37556b96a4a371492b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26673",
    "kind": "arxiv",
    "version": 1
  }
}