Pith Number

pith:NUDLITJS

pith:2024:NUDLITJS36BJ6K7LBBFB5VQIST

not attested not anchored not stored refs pending

Cacti, Toggles, and Reverse Plane Partitions

Balazs Elek, Devin Brown, Iva Halacheva

arxiv:2412.02614 v1 · 2024-12-03 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NUDLITJS36BJ6K7LBBFB5VQIST}

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	2026-07-05T09:43:52.436958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d06b44d32df829f2beb084a1ed60894f8d17c8111cbe890317023874bbff282

Aliases

arxiv: 2412.02614 · arxiv_version: 2412.02614v1 · doi: 10.48550/arxiv.2412.02614 · pith_short_12: NUDLITJS36BJ · pith_short_16: NUDLITJS36BJ6K7L · pith_short_8: NUDLITJS

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/NUDLITJS36BJ6K7LBBFB5VQIST \
  | 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: 6d06b44d32df829f2beb084a1ed60894f8d17c8111cbe890317023874bbff282

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "565b9c402f4e7d121a2a19df4eae9f5fae077e09f808493dc7932ce5afe3cd37",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-03T17:42:58Z",
    "title_canon_sha256": "e4492bbcd544489d097755f1335c90ed2bd20fe4a59d30b6cd1faa61f202da1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.02614",
    "kind": "arxiv",
    "version": 1
  }
}