Pith Number

pith:PYZ7VIWB

pith:2010:PYZ7VIWBA4KZWFEVDT4AF3C6JD

not attested not anchored not stored refs pending

On the grasshopper problem with signed jumps

G\'eza K\'os

arxiv:1008.2936 v3 · 2010-08-17 · math.CO · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PYZ7VIWBA4KZWFEVDT4AF3C6JD}

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	2026-05-18T04:15:36.126310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e33faa2c107159b14951cf802ec5e48f7e45a55e9e02e74e6c60c76cfb4d280

Aliases

arxiv: 1008.2936 · arxiv_version: 1008.2936v3 · doi: 10.48550/arxiv.1008.2936 · pith_short_12: PYZ7VIWBA4KZ · pith_short_16: PYZ7VIWBA4KZWFEV · pith_short_8: PYZ7VIWB

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/PYZ7VIWBA4KZWFEVDT4AF3C6JD \
  | 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: 7e33faa2c107159b14951cf802ec5e48f7e45a55e9e02e74e6c60c76cfb4d280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "376c8c9bcaf3a16351336f76c072952cbc3db02d3bc0228f72b491b90a7c6c03",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-08-17T17:21:31Z",
    "title_canon_sha256": "2ccc025d13ddbd9a402d36fb5ff8cc05a13d2943e855e00e1a907efa84803072"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2936",
    "kind": "arxiv",
    "version": 3
  }
}