Pith Number

pith:IXUIHNUL

pith:2022:IXUIHNULDEOBR6ST2BTCCB56TP

not attested not anchored not stored refs pending

Enumerative and Distributional Results for $d$-combining Tree-Child Networks

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

arxiv:2209.03850 v2 · 2022-09-08 · 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{IXUIHNULDEOBR6ST2BTCCB56TP}

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	2026-07-05T07:59:47.432365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45e883b68b191c18fa53d0662107be9bf7e625f5611454bc6375d72346c92814

Aliases

arxiv: 2209.03850 · arxiv_version: 2209.03850v2 · doi: 10.48550/arxiv.2209.03850 · pith_short_12: IXUIHNULDEOB · pith_short_16: IXUIHNULDEOBR6ST · pith_short_8: IXUIHNUL

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/IXUIHNULDEOBR6ST2BTCCB56TP \
  | 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: 45e883b68b191c18fa53d0662107be9bf7e625f5611454bc6375d72346c92814

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8957f1749d9278fc7935aca1f0ecb1b799df042ba591b3a67587087a54e24c58",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-09-08T14:43:35Z",
    "title_canon_sha256": "2d47baf255a8f89e5c67723942722d393c289a7c9555b97ddbea74e8f26e6e81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.03850",
    "kind": "arxiv",
    "version": 2
  }
}