Pith Number

pith:GC5NBCDB

pith:2015:GC5NBCDBT6O3Y3DRX3IDGABWRC

not attested not anchored not stored refs pending

A Comparative Analysis of the Successive Lumping and the Lattice Path Counting Algorithms

Floske M. Spieksma, Laurens C. Smit, Michael N. Katehakis

arxiv:1507.05301 v1 · 2015-07-19 · 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{GC5NBCDBT6O3Y3DRX3IDGABWRC}

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	2026-05-18T01:36:37.268457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30bad088619f9dbc6c71bed0330036888686f763b466299a846727453cb445d1

Aliases

arxiv: 1507.05301 · arxiv_version: 1507.05301v1 · doi: 10.48550/arxiv.1507.05301 · pith_short_12: GC5NBCDBT6O3 · pith_short_16: GC5NBCDBT6O3Y3DR · pith_short_8: GC5NBCDB

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/GC5NBCDBT6O3Y3DRX3IDGABWRC \
  | 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: 30bad088619f9dbc6c71bed0330036888686f763b466299a846727453cb445d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "384011f6d8759471f648b1e1b3378f336fa8d439878f8c606ce11a3f7b6802b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-19T15:29:26Z",
    "title_canon_sha256": "252f5b81a656a34344747f8cf6a1100a15389d36cc8c0bc3232bc205b49fd9db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05301",
    "kind": "arxiv",
    "version": 1
  }
}