Pith Number

pith:ZHTTIAXH

pith:2020:ZHTTIAXHOUQXZS4GA5KFRSHATI

not attested not anchored not stored refs pending

Counting the Nontrivial Equivalence Classes of $S_n$ under $\{1234,3412\}$-Pattern-Replacement

Alexander Lu Zhang, Bella Xu, Quinn Perian

arxiv:2008.02380 v1 · 2020-08-05 · 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{ZHTTIAXHOUQXZS4GA5KFRSHATI}

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	2026-07-05T01:25:04.533213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9e73402e775217ccb86075458c8e09a36011c96736262c802c4661961c83343

Aliases

arxiv: 2008.02380 · arxiv_version: 2008.02380v1 · doi: 10.48550/arxiv.2008.02380 · pith_short_12: ZHTTIAXHOUQX · pith_short_16: ZHTTIAXHOUQXZS4G · pith_short_8: ZHTTIAXH

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/ZHTTIAXHOUQXZS4GA5KFRSHATI \
  | 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: c9e73402e775217ccb86075458c8e09a36011c96736262c802c4661961c83343

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3578ec32b09893d74dea5d3324246ba26b683f9498c2cfe97d1b2b045647528a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-08-05T22:03:25Z",
    "title_canon_sha256": "38ff1f60de0b9cf591a1eb6971e2d4935961df6a4aaeaa60fa2c26bba188ce38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.02380",
    "kind": "arxiv",
    "version": 1
  }
}