Pith Number

pith:OURBRYR6

pith:2021:OURBRYR6V6PEANF7LMFXBPC4JN

not attested not anchored not stored refs pending

Shuffle Squares and Reverse Shuffle Squares

Emily Huang, Ihyun Nam, Rishubh Thaper, Xiaoyu He

arxiv:2109.12455 v2 · 2021-09-25 · 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{OURBRYR6V6PEANF7LMFXBPC4JN}

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	2026-07-05T07:14:04.176636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

752218e23eaf9e4034bf5b0b70bc5c4b48fa02965e20c866273d069bd4fc5838

Aliases

arxiv: 2109.12455 · arxiv_version: 2109.12455v2 · doi: 10.48550/arxiv.2109.12455 · pith_short_12: OURBRYR6V6PE · pith_short_16: OURBRYR6V6PEANF7 · pith_short_8: OURBRYR6

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/OURBRYR6V6PEANF7LMFXBPC4JN \
  | 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: 752218e23eaf9e4034bf5b0b70bc5c4b48fa02965e20c866273d069bd4fc5838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cddc57407fa3547a3578fbd5a9f220f1e28e2710f50e0389b0bd05e8fa162a5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-09-25T22:50:03Z",
    "title_canon_sha256": "be646735e9dbea9b743100a19d13ffaac8a4835f8ac79848c1f6063dfd1a60e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.12455",
    "kind": "arxiv",
    "version": 2
  }
}