Pith Number

pith:NAULMOTM

pith:2019:NAULMOTM4C44Z3XDCAHJSWEOVU

not attested not anchored not stored refs pending

Counting and sampling gene family evolutionary histories in the duplication-loss and duplication-loss-transfer models

Cedric Chauve, Michael Wallner, Yann Ponty

arxiv:1905.04971 v1 · 2019-05-13 · math.CO · cs.DM · 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{NAULMOTM4C44Z3XDCAHJSWEOVU}

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	2026-05-17T23:46:22.953456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6828b63a6ce0b9cceee3100e99588ead182af03bb81849be37b238d703fea11e

Aliases

arxiv: 1905.04971 · arxiv_version: 1905.04971v1 · doi: 10.48550/arxiv.1905.04971 · pith_short_12: NAULMOTM4C44 · pith_short_16: NAULMOTM4C44Z3XD · pith_short_8: NAULMOTM

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/NAULMOTM4C44Z3XDCAHJSWEOVU \
  | 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: 6828b63a6ce0b9cceee3100e99588ead182af03bb81849be37b238d703fea11e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6d28afc925ded41215e572fe0400ebf1d22e4b7e11355456c0729224a454e7a",
    "cross_cats_sorted": [
      "cs.DM",
      "q-bio.PE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-13T11:17:58Z",
    "title_canon_sha256": "c55b78fcc868083276386bdf3f9e8d9ca0ddaeab81ee0ddeaba3ef327268fb4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04971",
    "kind": "arxiv",
    "version": 1
  }
}