Pith Number

pith:SKKTVDQL

pith:2017:SKKTVDQL5UQGNXZ7Q4XAGBDESB

not attested not anchored not stored refs pending

Optimal pebbling and rubbling of graphs with given diameter

Ervin Gy\H{o}ri, Gyula Y. Katona, L\'aszl\'o F. Papp

arxiv:1708.09177 v1 · 2017-08-30 · 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{SKKTVDQL5UQGNXZ7Q4XAGBDESB}

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	2026-05-18T00:36:20.738113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92953a8e0bed2066df3f872e030464904ed60302a5d571461a624683ed11e150

Aliases

arxiv: 1708.09177 · arxiv_version: 1708.09177v1 · doi: 10.48550/arxiv.1708.09177 · pith_short_12: SKKTVDQL5UQG · pith_short_16: SKKTVDQL5UQGNXZ7 · pith_short_8: SKKTVDQL

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/SKKTVDQL5UQGNXZ7Q4XAGBDESB \
  | 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: 92953a8e0bed2066df3f872e030464904ed60302a5d571461a624683ed11e150

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d611889354c943299daf0d7352bfda9af5579f86095346cdcb7d57edb368afc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-30T08:58:05Z",
    "title_canon_sha256": "f98863f2bb5dafc3951a1a135647d9bd7cfd4cd04f7217404ef0cf02bbee120a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09177",
    "kind": "arxiv",
    "version": 1
  }
}