Pith Number

pith:YKL2OOSY

pith:2026:YKL2OOSY76LPBLTKUO4QUZYUHR

not attested not anchored not stored refs pending

A container theorem for general digraphs with forbidden subdigraphs

Jianxi Liu, Meili Liang, Ruiling Zheng, Yue Guan

arxiv:2603.18542 v2 · 2026-03-19 · 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{YKL2OOSY76LPBLTKUO4QUZYUHR}

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	2026-05-20T01:05:11.508250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c297a73a58ff96f0ae6aa3b90a67143c61f2a2316ea6807b4713df7c421fb59d

Aliases

arxiv: 2603.18542 · arxiv_version: 2603.18542v2 · doi: 10.48550/arxiv.2603.18542 · pith_short_12: YKL2OOSY76LP · pith_short_16: YKL2OOSY76LPBLTK · pith_short_8: YKL2OOSY

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/YKL2OOSY76LPBLTKUO4QUZYUHR \
  | 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: c297a73a58ff96f0ae6aa3b90a67143c61f2a2316ea6807b4713df7c421fb59d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d74c68748558cc4305a066f9e0745e6f57988dd8d315adc6768f7a66b5bc9408",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-03-19T06:57:40Z",
    "title_canon_sha256": "66b0b64eab579ad19726e2445fe6c38fcff83db8c6fd162af37a134ffcfc421d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.18542",
    "kind": "arxiv",
    "version": 2
  }
}