Pith Number

pith:TDBRHNXJ

pith:2018:TDBRHNXJG22HOJBQKJVCAX5RLI

not attested not anchored not stored refs pending

Reconstructing Tree-Child Networks from Reticulate-Edge-Deleted Subnetworks

Leo van Iersel, Mark Jones, Remie Janssen, Vincent Moulton, Yukihiro Murakami

arxiv:1811.06777 v3 · 2018-11-16 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TDBRHNXJG22HOJBQKJVCAX5RLI}

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	2026-05-17T23:40:04.079866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98c313b6e936b4772430526a205fb15a100c621ad2d560db577676126e65cd11

Aliases

arxiv: 1811.06777 · arxiv_version: 1811.06777v3 · doi: 10.48550/arxiv.1811.06777 · pith_short_12: TDBRHNXJG22H · pith_short_16: TDBRHNXJG22HOJBQ · pith_short_8: TDBRHNXJ

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/TDBRHNXJG22HOJBQKJVCAX5RLI \
  | 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: 98c313b6e936b4772430526a205fb15a100c621ad2d560db577676126e65cd11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d118f0934f820b3b5c222c355cdc088d4d516130f7267f167280a6ce6fbe2d5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-16T12:19:54Z",
    "title_canon_sha256": "b72f17ef8d5390d6ae467bb47fc0d9c8524d8638516e5511ac678fce6410c13d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06777",
    "kind": "arxiv",
    "version": 3
  }
}