Pith Number

pith:OHZEFSVU

pith:2013:OHZEFSVUOVJ3MREDYCL5V4E5CI

not attested not anchored not stored refs pending

Koroljuk's formula for counting lattice paths revisited

James J.Y. Zhao

arxiv:1306.6015 v1 · 2013-06-25 · 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{OHZEFSVUOVJ3MREDYCL5V4E5CI}

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	2026-05-18T03:19:57.977515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71f242cab47553b64483c097daf09d1201d210cd65c10e19c7dd3b8524d6db18

Aliases

arxiv: 1306.6015 · arxiv_version: 1306.6015v1 · doi: 10.48550/arxiv.1306.6015 · pith_short_12: OHZEFSVUOVJ3 · pith_short_16: OHZEFSVUOVJ3MRED · pith_short_8: OHZEFSVU

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/OHZEFSVUOVJ3MREDYCL5V4E5CI \
  | 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: 71f242cab47553b64483c097daf09d1201d210cd65c10e19c7dd3b8524d6db18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f009d128dc198e1933899564aa37aa9894ec4cb68e0b0c37afb23087fd81cae4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-25T16:10:15Z",
    "title_canon_sha256": "83a4ab7502f34a8ca83dca549a0086c9da90f945b54e65d30adff61814dc7c43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6015",
    "kind": "arxiv",
    "version": 1
  }
}