Pith Number

pith:6YC2ESNH

pith:2018:6YC2ESNHWSU67QNX37UVG4F6SH

not attested not anchored not stored refs pending

Peak positions of strongly unimodal sequences

Chris Jennings-Shaffer, Karl Mahlburg, Kathrin Bringmann, Robert Rhoades

arxiv:1806.03217 v2 · 2018-06-08 · math.NT · 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{6YC2ESNHWSU67QNX37UVG4F6SH}

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	2026-05-18T00:00:08.482906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f605a249a7b4a9efc1b7dfe95370be91ca209ea19dcc40a29ba8244bc4420596

Aliases

arxiv: 1806.03217 · arxiv_version: 1806.03217v2 · doi: 10.48550/arxiv.1806.03217 · pith_short_12: 6YC2ESNHWSU6 · pith_short_16: 6YC2ESNHWSU67QNX · pith_short_8: 6YC2ESNH

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/6YC2ESNHWSU67QNX37UVG4F6SH \
  | 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: f605a249a7b4a9efc1b7dfe95370be91ca209ea19dcc40a29ba8244bc4420596

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8698c885b1d672a05fd96ccb71ca5e7bbdddb5538462bf0f9bc15a3a5ef1cc93",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-08T15:26:39Z",
    "title_canon_sha256": "6848cde992ce138971444cb324eca9d7831b5c1e57ecc994b04a5f9c4b49c52f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03217",
    "kind": "arxiv",
    "version": 2
  }
}