Pith Number

pith:4MFPJVAW

pith:2026:4MFPJVAW4KCNEUDQC2QRVOBUK6

not attested not anchored not stored refs pending

On the small-step quarter plane lattice walks with a non D-finite univariate generating function

Juan Pulido, Marni Mishna

arxiv:2605.16688 v1 · 2026-05-15 · math.CO · 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{4MFPJVAW4KCNEUDQC2QRVOBUK6}

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	2026-05-20T00:02:36.676894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e30af4d416e284d2507016a11ab83457aa55ea2c7e24b96b561e693758199543

Aliases

arxiv: 2605.16688 · arxiv_version: 2605.16688v1 · doi: 10.48550/arxiv.2605.16688 · pith_short_12: 4MFPJVAW4KCN · pith_short_16: 4MFPJVAW4KCNEUDQ · pith_short_8: 4MFPJVAW

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/4MFPJVAW4KCNEUDQC2QRVOBUK6 \
  | 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: e30af4d416e284d2507016a11ab83457aa55ea2c7e24b96b561e693758199543

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cfc22103876014e8e835487778bafe0beea791efc90761fbb33baba7ebb7a1c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-15T22:52:05Z",
    "title_canon_sha256": "4bb7d11a8d2bde7c5f7e9d4a4d016c715f211aee4cdd16ec3b1c2da488f7935e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16688",
    "kind": "arxiv",
    "version": 1
  }
}