Pith Number

pith:LDK5QFJI

pith:2018:LDK5QFJIWHRN3U2AVCTZBL2KY7

not attested not anchored not stored refs pending

Counting Consecutive Pattern Matches in $\mathcal{S}_n(132)$ and $\mathcal{S}_n(123)$

Dun Qiu, Jeffrey Remmel, Ran Pan

arxiv:1809.01384 v2 · 2018-09-05 · 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{LDK5QFJIWHRN3U2AVCTZBL2KY7}

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	2026-05-17T23:56:58.325268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58d5d81528b1e2ddd340a8a790af4ac7e100c9f1f57918a9e5e9498422f7aadb

Aliases

arxiv: 1809.01384 · arxiv_version: 1809.01384v2 · doi: 10.48550/arxiv.1809.01384 · pith_short_12: LDK5QFJIWHRN · pith_short_16: LDK5QFJIWHRN3U2A · pith_short_8: LDK5QFJI

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/LDK5QFJIWHRN3U2AVCTZBL2KY7 \
  | 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: 58d5d81528b1e2ddd340a8a790af4ac7e100c9f1f57918a9e5e9498422f7aadb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63ddb3388831761f4dffe2ffacdeda4235775de91a90c1ba573354994c40b1bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-05T08:34:54Z",
    "title_canon_sha256": "83d7629ba2e4c25b2c857a0ad62ed3fe17d2affeb1e719cab68e9c91344f4a9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01384",
    "kind": "arxiv",
    "version": 2
  }
}