Pith Number

pith:UG5BGZXJ

pith:2022:UG5BGZXJD7MXWJG6R7YBC7MC4P

not attested not anchored not stored refs pending

Cyclic shuffle-compatibility via cyclic shuffle algebras

Bruce E. Sagan, Jinting Liang, Yan Zhuang

arxiv:2212.14522 v2 · 2022-12-30 · 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{UG5BGZXJD7MXWJG6R7YBC7MC4P}

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	2026-07-05T06:55:01.196305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1ba1366e91fd97b24de8ff0117d82e3f2a35257f1f6acaee2b728b37e2ef247

Aliases

arxiv: 2212.14522 · arxiv_version: 2212.14522v2 · doi: 10.48550/arxiv.2212.14522 · pith_short_12: UG5BGZXJD7MX · pith_short_16: UG5BGZXJD7MXWJG6 · pith_short_8: UG5BGZXJ

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/UG5BGZXJD7MXWJG6R7YBC7MC4P \
  | 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: a1ba1366e91fd97b24de8ff0117d82e3f2a35257f1f6acaee2b728b37e2ef247

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "906e6edca053de0a70cf3487a5803090d6cf0d0df040030add2d9365267f59dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-12-30T02:49:43Z",
    "title_canon_sha256": "b6d71c7fa8218eb32119a2efbfc2a40bf4e147c6d77990c1cf20706f74c63f2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.14522",
    "kind": "arxiv",
    "version": 2
  }
}