Pith Number

pith:FMF4KV2A

pith:2016:FMF4KV2A45QR635SFYZ7HK5RY4

not attested not anchored not stored refs pending

The peak statistics on simsun permutations

Shi-Mei Ma, Yeong-Nan Yeh

arxiv:1601.06505 v2 · 2016-01-25 · 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{FMF4KV2A45QR635SFYZ7HK5RY4}

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	2026-05-18T01:21:36.561488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b0bc55740e7611f6fb22e33f3abb1c7379a667454a6d04c6de2c52ce3029cba

Aliases

arxiv: 1601.06505 · arxiv_version: 1601.06505v2 · doi: 10.48550/arxiv.1601.06505 · pith_short_12: FMF4KV2A45QR · pith_short_16: FMF4KV2A45QR635S · pith_short_8: FMF4KV2A

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/FMF4KV2A45QR635SFYZ7HK5RY4 \
  | 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: 2b0bc55740e7611f6fb22e33f3abb1c7379a667454a6d04c6de2c52ce3029cba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f4132c545d1551b487433e19c6a5f1ce116735abab916a850b72d9465ab4096",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-25T08:13:08Z",
    "title_canon_sha256": "c8360f776ce32a0d626e3b4e3dd89b3c8b22e85682493bc60495e60f10c3c518"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06505",
    "kind": "arxiv",
    "version": 2
  }
}