Pith Number

pith:GI5XCAOD

pith:2012:GI5XCAOD4YKRXFPUSE2CFHNHN7

not attested not anchored not stored refs pending

A Branch-and-Cut Algorithm for the 2-Species Duplication-Loss Phylogeny Problem

Sandro Andreotti, Stefan Canzar

arxiv:1208.2698 v1 · 2012-08-13 · math.CO · cs.DM · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GI5XCAOD4YKRXFPUSE2CFHNHN7}

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	2026-05-18T03:48:47.597589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

323b7101c3e6151b95f49134229da76fd43944543f3bd6de2c23bd05348cc220

Aliases

arxiv: 1208.2698 · arxiv_version: 1208.2698v1 · doi: 10.48550/arxiv.1208.2698 · pith_short_12: GI5XCAOD4YKR · pith_short_16: GI5XCAOD4YKRXFPU · pith_short_8: GI5XCAOD

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/GI5XCAOD4YKRXFPUSE2CFHNHN7 \
  | 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: 323b7101c3e6151b95f49134229da76fd43944543f3bd6de2c23bd05348cc220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a14089ea6f797407248bff6bbc9dbe0a1ae4519a4663397c42edf8527a8b2688",
    "cross_cats_sorted": [
      "cs.DM",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-13T20:03:11Z",
    "title_canon_sha256": "ea1c0fd8bce63d28b3f1bdcf519f3fd0684926db308034935eabf40422ced381"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2698",
    "kind": "arxiv",
    "version": 1
  }
}