Pith Number

pith:L544NGTR

pith:2023:L544NGTRZ543V25BPCIGLZ2ZZ4

not attested not anchored not stored refs pending

Unique Least Common Ancestors and Clusters in Directed Acyclic Graphs

Ameera Vaheeda Shanavas, Manoj Changat, Marc Hellmuth, Peter F. Stadler

arxiv:2309.13634 v1 · 2023-09-24 · cs.DM · math.CO · 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{L544NGTRZ543V25BPCIGLZ2ZZ4}

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	2026-07-05T06:53:55.166643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f79c69a71cf79baeba1789065e759cf3a0b970044a7a53701ce8bfab298ff4e

Aliases

arxiv: 2309.13634 · arxiv_version: 2309.13634v1 · doi: 10.48550/arxiv.2309.13634 · pith_short_12: L544NGTRZ543 · pith_short_16: L544NGTRZ543V25B · pith_short_8: L544NGTR

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/L544NGTRZ543V25BPCIGLZ2ZZ4 \
  | 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: 5f79c69a71cf79baeba1789065e759cf3a0b970044a7a53701ce8bfab298ff4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e0bf09e7a18d010bb55e462a38c22a833f511b7c5dee5295166e278e041065c",
    "cross_cats_sorted": [
      "math.CO",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2023-09-24T13:20:02Z",
    "title_canon_sha256": "01e59d5b9f7141f0f0548b2e0fb48ac8340ee900f38ecfbd80575c6a0c45ac1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.13634",
    "kind": "arxiv",
    "version": 1
  }
}