Pith Number

pith:JGWUT7LV

pith:2026:JGWUT7LVQ33W7SKDX7VHPRJ566

not attested not anchored not stored refs pending

Pythagorean walks on $\mathbb{Z}^2$

Jan Willemson

arxiv:2605.20831 v1 · 2026-05-20 · 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{JGWUT7LVQ33W7SKDX7VHPRJ566}

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	2026-05-21T01:05:23.514256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49ad49fd7586f76fc943bfea77c53df79deaa001b261fb7f01bb8e704cafe037

Aliases

arxiv: 2605.20831 · arxiv_version: 2605.20831v1 · doi: 10.48550/arxiv.2605.20831 · pith_short_12: JGWUT7LVQ33W · pith_short_16: JGWUT7LVQ33W7SKD · pith_short_8: JGWUT7LV

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/JGWUT7LVQ33W7SKDX7VHPRJ566 \
  | 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: 49ad49fd7586f76fc943bfea77c53df79deaa001b261fb7f01bb8e704cafe037

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "995511f7f51f6ed9e3a4e26d47862fbfc0e458c86cd974fd3fee700703539295",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-20T07:21:56Z",
    "title_canon_sha256": "2f58830295df730c9c7939f5851d29a83cefddf8b32bb78469ea2efafbd4c1a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20831",
    "kind": "arxiv",
    "version": 1
  }
}