Pith Number

pith:BF5Z4C45

pith:2018:BF5Z4C457QKJNYL46XBKTVNCPD

not attested not anchored not stored refs pending

Unimodal Polynomials and Lattice Walk Enumeration with Experimental Mathematics

Bryan Ek

arxiv:1804.05933 v1 · 2018-04-16 · 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{BF5Z4C457QKJNYL46XBKTVNCPD}

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	2026-05-18T00:18:22.302199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

097b9e0b9dfc1496e17cf5c2a9d5a278db5e0912d731c1b16c43fffab3815582

Aliases

arxiv: 1804.05933 · arxiv_version: 1804.05933v1 · doi: 10.48550/arxiv.1804.05933 · pith_short_12: BF5Z4C457QKJ · pith_short_16: BF5Z4C457QKJNYL4 · pith_short_8: BF5Z4C45

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/BF5Z4C457QKJNYL46XBKTVNCPD \
  | 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: 097b9e0b9dfc1496e17cf5c2a9d5a278db5e0912d731c1b16c43fffab3815582

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "094b29966a31afd17eb10c69ddedf16a51e1e112fbe121809afb58fb6f2b33bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-16T20:46:38Z",
    "title_canon_sha256": "33d9ddbde083f52218962f2b52f289523858c4324534f6233c6dc7dd46e64a61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05933",
    "kind": "arxiv",
    "version": 1
  }
}