Pith Number

pith:3UQMPNPU

pith:2005:3UQMPNPUEU3UGOQMGNYCL52SQS

not attested not anchored not stored refs pending

Cylindrical lattice paths and the Loehr-Warrington 10^n conjecture

Jonas Sjostrand

arxiv:math/0509521 v2 · 2005-09-22 · 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{3UQMPNPUEU3UGOQMGNYCL52SQS}

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	2026-05-18T01:05:23.114857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd20c7b5f42537433a0c337025f75284939f729c00cd7936f874e38e37f7bb8b

Aliases

arxiv: math/0509521 · arxiv_version: math/0509521v2 · doi: 10.48550/arxiv.math/0509521 · pith_short_12: 3UQMPNPUEU3U · pith_short_16: 3UQMPNPUEU3UGOQM · pith_short_8: 3UQMPNPU

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/3UQMPNPUEU3UGOQMGNYCL52SQS \
  | 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: dd20c7b5f42537433a0c337025f75284939f729c00cd7936f874e38e37f7bb8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4117a095d00ae456afa87d03d802489298ec8bd860278635f98b7883c8145f60",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-09-22T15:44:57Z",
    "title_canon_sha256": "a821c4a4ebc7069266a840fb890c0bd9aab35afb4108283508c3a99662a3da76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509521",
    "kind": "arxiv",
    "version": 2
  }
}