Pith Number

pith:NB5ZPHVE

pith:2017:NB5ZPHVEFLXSJJNMTDHKQ74GVX

not attested not anchored not stored refs pending

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

Benjamin Gunby, D\"om\"ot\"or P\'alv\"olgyi

arxiv:1707.07809 v1 · 2017-07-25 · 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{NB5ZPHVEFLXSJJNMTDHKQ74GVX}

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	2026-05-18T00:39:30.274127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

687b979ea42aef24a5ac98cea87f86add597a82bc05df83675dfe1a7d6d2f643

Aliases

arxiv: 1707.07809 · arxiv_version: 1707.07809v1 · doi: 10.48550/arxiv.1707.07809 · pith_short_12: NB5ZPHVEFLXS · pith_short_16: NB5ZPHVEFLXSJJNM · pith_short_8: NB5ZPHVE

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/NB5ZPHVEFLXSJJNMTDHKQ74GVX \
  | 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: 687b979ea42aef24a5ac98cea87f86add597a82bc05df83675dfe1a7d6d2f643

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43d0ace07ee7c1499377f11a9540d3007e9021905817317e9210b6a76daaa85a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-25T04:26:18Z",
    "title_canon_sha256": "ac25c694ee5b0fca81b2525b0dff6d46186fe766a88e1cfeb5cdf25fc73aecb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07809",
    "kind": "arxiv",
    "version": 1
  }
}