Pith Number

pith:BLWDN73D

pith:2025:BLWDN73DEBOLNGBS5K62KSSCAJ

not attested not anchored not stored refs pending

Elliptic Curves, Riordan arrays and Lattice Paths

Paul Barry

arxiv:2507.16765 v1 · 2025-07-22 · 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{BLWDN73DEBOLNGBS5K62KSSCAJ}

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	2026-07-05T11:41:30.545070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aec36ff63205cb69832eabda54a4202588a64872af7ff19ea8bacfdb24373ae

Aliases

arxiv: 2507.16765 · arxiv_version: 2507.16765v1 · doi: 10.48550/arxiv.2507.16765 · pith_short_12: BLWDN73DEBOL · pith_short_16: BLWDN73DEBOLNGBS · pith_short_8: BLWDN73D

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/BLWDN73DEBOLNGBS5K62KSSCAJ \
  | 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: 0aec36ff63205cb69832eabda54a4202588a64872af7ff19ea8bacfdb24373ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "424e0f5223995f662266a49468b923ae1b8160d512e4eae35a585f0ee75c1f48",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-22T17:06:53Z",
    "title_canon_sha256": "87e337309b9edc29f44998ae98bfb5420d7a66b078df9eaf6b4625d77135bcea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16765",
    "kind": "arxiv",
    "version": 1
  }
}