Pith Number

pith:XA35D5ZA

pith:2018:XA35D5ZAFFZ7IW4KTVDU67RSTP

not attested not anchored not stored refs pending

The number of 4-colorings of the Hamming cube

Jeff Kahn, Jinyoung Park

arxiv:1808.01152 v2 · 2018-08-03 · 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{XA35D5ZAFFZ7IW4KTVDU67RSTP}

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	2026-05-17T23:47:36.175145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b837d1f7202973f45b8a9d474f7e329bde805d26bec1bb4c8a7ccaea7d18fee7

Aliases

arxiv: 1808.01152 · arxiv_version: 1808.01152v2 · doi: 10.48550/arxiv.1808.01152 · pith_short_12: XA35D5ZAFFZ7 · pith_short_16: XA35D5ZAFFZ7IW4K · pith_short_8: XA35D5ZA

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/XA35D5ZAFFZ7IW4KTVDU67RSTP \
  | 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: b837d1f7202973f45b8a9d474f7e329bde805d26bec1bb4c8a7ccaea7d18fee7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dcc42dcdf0e0f40e68ecd1ac6e3eef18b9770d2df92e5944b3d1045bc7e6a85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-03T11:00:26Z",
    "title_canon_sha256": "d45f7d139d43d7e6b82d367d086223dda6a2f8da8852647dd149860556d508ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01152",
    "kind": "arxiv",
    "version": 2
  }
}