Pith Number

pith:W27V3DVV

pith:2015:W27V3DVVJO5TTWWOSRTQ7OLN2P

not attested not anchored not stored refs pending

Which phylogenetic networks are merely trees with additional arcs?

Andrew R. Francis, Mike Steel

arxiv:1502.07045 v3 · 2015-02-25 · q-bio.PE · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W27V3DVVJO5TTWWOSRTQ7OLN2P}

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	2026-05-18T02:03:50.440242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6bf5d8eb54bbb39dace94670fb96dd3c48a641a021205fc6fe348e4c797651c

Aliases

arxiv: 1502.07045 · arxiv_version: 1502.07045v3 · doi: 10.48550/arxiv.1502.07045 · pith_short_12: W27V3DVVJO5T · pith_short_16: W27V3DVVJO5TTWWO · pith_short_8: W27V3DVV

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/W27V3DVVJO5TTWWOSRTQ7OLN2P \
  | 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: b6bf5d8eb54bbb39dace94670fb96dd3c48a641a021205fc6fe348e4c797651c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8abe503caaba2df429c8bc3b50542fcfffd6567efd0a6076e6674a2706b1bbd4",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2015-02-25T03:58:35Z",
    "title_canon_sha256": "76fc6ac7e6b0b863e3efd0cc0345ad9426fc7281f7afa8f06fb675152737ff09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07045",
    "kind": "arxiv",
    "version": 3
  }
}