Pith Number

pith:OFYQMXSM

pith:2022:OFYQMXSMCSGUM3BHIUVM5PECXA

not attested not anchored not stored refs pending

Enumeration of $d$-combining Tree-Child Networks

Guan-Ru Yu, Hexuan Liu, Michael Fuchs, Michael Wallner, Yu-Sheng Chang

arxiv:2203.07619 v1 · 2022-03-15 · 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{OFYQMXSMCSGUM3BHIUVM5PECXA}

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	2026-07-05T04:05:20.606656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7171065e4c148d466c27452acebc82b823bf719e01cf5ff6d47c673afa8a6871

Aliases

arxiv: 2203.07619 · arxiv_version: 2203.07619v1 · doi: 10.48550/arxiv.2203.07619 · pith_short_12: OFYQMXSMCSGU · pith_short_16: OFYQMXSMCSGUM3BH · pith_short_8: OFYQMXSM

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/OFYQMXSMCSGUM3BHIUVM5PECXA \
  | 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: 7171065e4c148d466c27452acebc82b823bf719e01cf5ff6d47c673afa8a6871

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d0e8bfeebc58a4b118729f17989fcd1256fc079822de2a23d9114701c67cd7e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-03-15T03:12:46Z",
    "title_canon_sha256": "40c22dd80df2b310617371d1b6fb5a000c5c91fe51f111d9721a7b46ee0505b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.07619",
    "kind": "arxiv",
    "version": 1
  }
}