Pith Number

pith:65CBUGS6

pith:2025:65CBUGS6L7QU3DTDZJ4MHM5YNN

not attested not anchored not stored refs pending

Falling stars: a fall-decorated rational shuffle theorem

Alessandro Iraci, Giovanni Paolini, Roberto Pagaria

arxiv:2508.20935 v2 · 2025-08-28 · 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{65CBUGS6L7QU3DTDZJ4MHM5YNN}

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	2026-06-23T01:12:46.841489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7441a1a5e5fe14d8e63ca78c3b3b86b72890f3e56a93d48e7fcf2b1f730d801

Aliases

arxiv: 2508.20935 · arxiv_version: 2508.20935v2 · doi: 10.48550/arxiv.2508.20935 · pith_short_12: 65CBUGS6L7QU · pith_short_16: 65CBUGS6L7QU3DTD · pith_short_8: 65CBUGS6

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/65CBUGS6L7QU3DTDZJ4MHM5YNN \
  | 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: f7441a1a5e5fe14d8e63ca78c3b3b86b72890f3e56a93d48e7fcf2b1f730d801

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36d8d53f2128ac41da4bde4b6d1429528b5aea4a1fa629285ba5f4ff9edbd8e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-28T16:00:23Z",
    "title_canon_sha256": "fa1e7806bd93cb88db8c93a98239da29c5f018d257ee460077e36e2eee1d19ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20935",
    "kind": "arxiv",
    "version": 2
  }
}