Pith Number

pith:YFSNMATS

pith:2016:YFSNMATSHS52ILWWJLI6HEHE2O

not attested not anchored not stored refs pending

Asymptotics of Pattern Avoidance in the Permutation-Tuple and Klazar Set Partition Settings

Benjamin Gunby

arxiv:1609.06023 v3 · 2016-09-20 · 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{YFSNMATSHS52ILWWJLI6HEHE2O}

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	2026-05-17T23:42:43.773936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c164d602723cbba42ed64ad1e390e4d3a37f47c03267451472c0220081601dc1

Aliases

arxiv: 1609.06023 · arxiv_version: 1609.06023v3 · doi: 10.48550/arxiv.1609.06023 · pith_short_12: YFSNMATSHS52 · pith_short_16: YFSNMATSHS52ILWW · pith_short_8: YFSNMATS

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/YFSNMATSHS52ILWWJLI6HEHE2O \
  | 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: c164d602723cbba42ed64ad1e390e4d3a37f47c03267451472c0220081601dc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "389653f8593fa94a217eda217d36d197fe0619da54570ff3b4d36cd4fccf2808",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-20T05:29:42Z",
    "title_canon_sha256": "ed23caa2a294a44aaedefb3ffd0e0fa0c1933160250819d92a2cfcbb28e30d9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06023",
    "kind": "arxiv",
    "version": 3
  }
}