Pith Number

pith:OLRK5R6H

pith:2021:OLRK5R6H6TFRZSTWYREA7CWJNQ

not attested not anchored not stored refs pending

Enumeration of three-quadrant walks via invariants: some diagonally symmetric models

Mireille Bousquet-M\'elou

arxiv:2112.05776 v1 · 2021-12-10 · 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{OLRK5R6H6TFRZSTWYREA7CWJNQ}

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	2026-07-05T10:46:51.788117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72e2aec7c7f4cb1cca76c4480f8ac96c333aab6440fa5ae7296360c1bae12930

Aliases

arxiv: 2112.05776 · arxiv_version: 2112.05776v1 · doi: 10.48550/arxiv.2112.05776 · pith_short_12: OLRK5R6H6TFR · pith_short_16: OLRK5R6H6TFRZSTW · pith_short_8: OLRK5R6H

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/OLRK5R6H6TFRZSTWYREA7CWJNQ \
  | 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: 72e2aec7c7f4cb1cca76c4480f8ac96c333aab6440fa5ae7296360c1bae12930

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "374dc4a4324f82f9ee8729e26387ba779cbcf1644c6413c1434cbc28f3d76637",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-12-10T19:02:40Z",
    "title_canon_sha256": "f7dd1a53132f132fc3a1dd4e9dcfd99ff507f96101c3c6ea4abd5c8cd98e3c8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.05776",
    "kind": "arxiv",
    "version": 1
  }
}