Pith Number

pith:U7YD3XST

pith:2018:U7YD3XSTJFNRIJOJ7XESOH7HKY

not attested not anchored not stored refs pending

Optimal pebbling number of graphs with given minimum degree

Andrzej Czygrinow, Glenn Hurlbert, Gyula Y. Katona, L\'aszl\'o F. Papp

arxiv:1804.03717 v1 · 2018-04-10 · 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{U7YD3XSTJFNRIJOJ7XESOH7HKY}

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	2026-05-18T00:18:45.197733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7f03dde53495b1425c9fdc9271fe7560ec2170e5c6c739bb840e34593fb42d0

Aliases

arxiv: 1804.03717 · arxiv_version: 1804.03717v1 · doi: 10.48550/arxiv.1804.03717 · pith_short_12: U7YD3XSTJFNR · pith_short_16: U7YD3XSTJFNRIJOJ · pith_short_8: U7YD3XST

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/U7YD3XSTJFNRIJOJ7XESOH7HKY \
  | 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: a7f03dde53495b1425c9fdc9271fe7560ec2170e5c6c739bb840e34593fb42d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e65bc3f73026746b9494eb8438362cd95b548bb56e94e738bdf805eefb72c6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-10T21:00:52Z",
    "title_canon_sha256": "cd3ce940920e8f3c3360923bf6bbd650f6ad439fbe568235ac8ca1a1794fbfbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03717",
    "kind": "arxiv",
    "version": 1
  }
}