Pith Number

pith:XZZDGH7R

pith:2016:XZZDGH7RJBXPLFHMEMUI6UJSLV

not attested not anchored not stored refs pending

A half-normal distribution scheme for generating functions and the unexpected behavior of Motzkin paths

Michael Wallner

arxiv:1605.03046 v1 · 2016-05-10 · math.CO · cs.DM · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZZDGH7RJBXPLFHMEMUI6UJSLV}

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	2026-05-18T01:15:07.747762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be72331ff1486ef594ec23288f51325d47dcd2983a5f71f27dc4a9c395fe2b84

Aliases

arxiv: 1605.03046 · arxiv_version: 1605.03046v1 · doi: 10.48550/arxiv.1605.03046 · pith_short_12: XZZDGH7RJBXP · pith_short_16: XZZDGH7RJBXPLFHM · pith_short_8: XZZDGH7R

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/XZZDGH7RJBXPLFHMEMUI6UJSLV \
  | 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: be72331ff1486ef594ec23288f51325d47dcd2983a5f71f27dc4a9c395fe2b84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77d085c35dfbdec133bb0559a09036fdf99557de72129686c71ace3e3eb1b00d",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-10T15:03:37Z",
    "title_canon_sha256": "3312139202edf767e8c69da0679884d9e2f52c05c2e0e4a473d32b54e9b08119"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03046",
    "kind": "arxiv",
    "version": 1
  }
}