Pith Number

pith:SOWO7UQN

pith:2016:SOWO7UQN46F22VO7P4FDXKE22D

not attested not anchored not stored refs pending

Simsun permutations, simsun successions and simsun patterns

Shi-Mei Ma, Yeong-Nan Yeh

arxiv:1602.08999 v1 · 2016-02-29 · 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{SOWO7UQN46F22VO7P4FDXKE22D}

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	2026-05-18T01:19:51.509646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93acefd20de78bad55df7f0a3ba89ad0d9da89a63b81f37f00e8334f4cbf3b7d

Aliases

arxiv: 1602.08999 · arxiv_version: 1602.08999v1 · doi: 10.48550/arxiv.1602.08999 · pith_short_12: SOWO7UQN46F2 · pith_short_16: SOWO7UQN46F22VO7 · pith_short_8: SOWO7UQN

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/SOWO7UQN46F22VO7P4FDXKE22D \
  | 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: 93acefd20de78bad55df7f0a3ba89ad0d9da89a63b81f37f00e8334f4cbf3b7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "651177ffaa0df7b6e0a748cc404262bf5a353affa35b96285d4dab76c025756f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-29T15:16:07Z",
    "title_canon_sha256": "93158eaa73ef177bce1943c9ce71cf8414627afdb20bc38d9fa31c5542f97f77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08999",
    "kind": "arxiv",
    "version": 1
  }
}