Pith Number

pith:NSNS7SGY

pith:2016:NSNS7SGY5245UPXESSGFNCZU4L

not attested not anchored not stored refs pending

The descent statistic on signed simsun permutations

Hai-Na Wang, Shi-Mei Ma, Toufik Mansour

arxiv:1605.02618 v2 · 2016-05-09 · 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{NSNS7SGY5245UPXESSGFNCZU4L}

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	2026-05-18T01:14:38.219295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c9b2fc8d8eeb9da3ee4948c568b34e2c353f23cebf2653de8bf96ff88698c86

Aliases

arxiv: 1605.02618 · arxiv_version: 1605.02618v2 · doi: 10.48550/arxiv.1605.02618 · pith_short_12: NSNS7SGY5245 · pith_short_16: NSNS7SGY5245UPXE · pith_short_8: NSNS7SGY

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/NSNS7SGY5245UPXESSGFNCZU4L \
  | 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: 6c9b2fc8d8eeb9da3ee4948c568b34e2c353f23cebf2653de8bf96ff88698c86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09988f638eda4d89b5585269e5dde547180e05fb5f42046db705f71a238b7940",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-09T15:18:04Z",
    "title_canon_sha256": "e9da2866dea434745bc4de2d897bda4354fd9377b85b58b9cf8ac2b4cef234dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02618",
    "kind": "arxiv",
    "version": 2
  }
}