Pith Number

pith:4NXSZL3N

pith:2015:4NXSZL3N2SSURI65CU5GBJKHUT

not attested not anchored not stored refs pending

Limited packings of closed neighbourhoods in graphs

B\'ela Bollob\'as, Karen Gunderson, Paul N. Balister

arxiv:1501.01833 v1 · 2015-01-08 · 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{4NXSZL3N2SSURI65CU5GBJKHUT}

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	2026-05-18T02:29:46.311431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e36f2caf6dd4a548a3dd153a60a547a4e6054f69a3680475c8e7460c04f7837b

Aliases

arxiv: 1501.01833 · arxiv_version: 1501.01833v1 · doi: 10.48550/arxiv.1501.01833 · pith_short_12: 4NXSZL3N2SSU · pith_short_16: 4NXSZL3N2SSURI65 · pith_short_8: 4NXSZL3N

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/4NXSZL3N2SSURI65CU5GBJKHUT \
  | 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: e36f2caf6dd4a548a3dd153a60a547a4e6054f69a3680475c8e7460c04f7837b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a751aa2e9261e63e2d461b9dbd2f632010a31e4c05cad7f9e3161fa6588fec4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-08T13:17:15Z",
    "title_canon_sha256": "847833e9343e80af480a10e07563055fa50b2b77e9bf023fafa2e20688efc270"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01833",
    "kind": "arxiv",
    "version": 1
  }
}