Pith Number

pith:4YNLQIHN

pith:2018:4YNLQIHNZWKCXOTMC737QVENTO

not attested not anchored not stored refs pending

Pebbling on Graph Products and other Binary Graph Constructions

Franklin Kenter, Glenn Hurlbert, John Asplund

arxiv:1801.07808 v1 · 2018-01-23 · 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{4YNLQIHNZWKCXOTMC737QVENTO}

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	2026-05-18T00:25:10.793420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e61ab820edcd942bba6c17f7f8548d9bb02f8cdbd9a1f35c73625a2921fc8d79

Aliases

arxiv: 1801.07808 · arxiv_version: 1801.07808v1 · doi: 10.48550/arxiv.1801.07808 · pith_short_12: 4YNLQIHNZWKC · pith_short_16: 4YNLQIHNZWKCXOTM · pith_short_8: 4YNLQIHN

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/4YNLQIHNZWKCXOTMC737QVENTO \
  | 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: e61ab820edcd942bba6c17f7f8548d9bb02f8cdbd9a1f35c73625a2921fc8d79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79c32f62a9617b69e51099fa9f60b7a8391db60d51cb24b5f9cd13a63214637a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-23T23:30:08Z",
    "title_canon_sha256": "9251786ea474caad229bd470d7f883c371867aaa9a370cd295610c01c10f4c92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07808",
    "kind": "arxiv",
    "version": 1
  }
}