Pith Number

pith:KRZL3YHK

pith:2018:KRZL3YHKPSWMPMUYA5WWQSLY7F

not attested not anchored not stored refs pending

Coloring of the dth power of the face-centered cubic grid

Nicolas Gastineau (Le2i), Olivier Togni (Le2i)

arxiv:1806.08136 v1 · 2018-06-21 · cs.DM · 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{KRZL3YHKPSWMPMUYA5WWQSLY7F}

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	2026-05-18T00:12:41.937408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5472bde0ea7cacc7b298076d684978f96c33b436744f67294be03f901677cdd0

Aliases

arxiv: 1806.08136 · arxiv_version: 1806.08136v1 · doi: 10.48550/arxiv.1806.08136 · pith_short_12: KRZL3YHKPSWM · pith_short_16: KRZL3YHKPSWMPMUY · pith_short_8: KRZL3YHK

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/KRZL3YHKPSWMPMUYA5WWQSLY7F \
  | 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: 5472bde0ea7cacc7b298076d684978f96c33b436744f67294be03f901677cdd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dcf20097354ddcf742e71d92043cb3eff27a0c7c8fb19641ca2f03cbd925978",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-06-21T09:37:20Z",
    "title_canon_sha256": "3a620990441c8dd486667e08500362bc1f164e351a9603ed11302139e991ec02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08136",
    "kind": "arxiv",
    "version": 1
  }
}