Pith Number

pith:4O4U4CL3

pith:2024:4O4U4CL3D5TDC6IC5YGH7HP6H6

not attested not anchored not stored refs pending

Bijections on pattern avoiding inversion sequences and related objects

Heesung Shin, JiSun Huh, Sangwook Kim, Seunghyun Seo

arxiv:2404.04091 v1 · 2024-04-05 · 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{4O4U4CL3D5TDC6IC5YGH7HP6H6}

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	2026-07-05T08:04:45.335120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3b94e097b1f66317902ee0c7f9dfe3fb8032260f9a964fbada9720f2b256f27

Aliases

arxiv: 2404.04091 · arxiv_version: 2404.04091v1 · doi: 10.48550/arxiv.2404.04091 · pith_short_12: 4O4U4CL3D5TD · pith_short_16: 4O4U4CL3D5TDC6IC · pith_short_8: 4O4U4CL3

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/4O4U4CL3D5TDC6IC5YGH7HP6H6 \
  | 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: e3b94e097b1f66317902ee0c7f9dfe3fb8032260f9a964fbada9720f2b256f27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fc187a7cdfade42e5618553017ecff41039f34c4329519cc56096fcf4ecf460",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-04-05T13:31:51Z",
    "title_canon_sha256": "b91f23d1c843ff8de595d49b013e59f4dd13f9cfd9909bc7b40276997d2aa858"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.04091",
    "kind": "arxiv",
    "version": 1
  }
}