Pith Number

pith:RK474FUS

pith:2018:RK474FUS5A2EDL6CMLQQCZ3MBB

not attested not anchored not stored refs pending

On the k-planar local crossing number

Arran Hamm, John Asplund, Thao Do, Vishesh Jain

arxiv:1804.02117 v1 · 2018-04-06 · 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{RK474FUS5A2EDL6CMLQQCZ3MBB}

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	2026-05-18T00:19:05.782993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ab9fe1692e83441afc262e101676c0846593718d696662b94a55ca71c7fec61

Aliases

arxiv: 1804.02117 · arxiv_version: 1804.02117v1 · doi: 10.48550/arxiv.1804.02117 · pith_short_12: RK474FUS5A2E · pith_short_16: RK474FUS5A2EDL6C · pith_short_8: RK474FUS

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/RK474FUS5A2EDL6CMLQQCZ3MBB \
  | 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: 8ab9fe1692e83441afc262e101676c0846593718d696662b94a55ca71c7fec61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daff074b9984dbf136f94654e99c340d1f22aaf38b28889b289377cb22909de0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-06T02:59:18Z",
    "title_canon_sha256": "4e916f6827183eecbf50bde61abe76747676c02fb546bda0d0b9756248c54e41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.02117",
    "kind": "arxiv",
    "version": 1
  }
}