Pith Number

pith:YL3O6L3Y

pith:2006:YL3O6L3YTCIKZW2ZI4LDDIN3CP

not attested not anchored not stored refs pending

On the complexity of computing the capacity of codes that avoid forbidden difference patterns

Raphael Jungers, Vincent D. Blondel, Vladimir Protasov

arxiv:cs/0601036 v1 · 2006-01-10 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YL3O6L3YTCIKZW2ZI4LDDIN3CP}

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	2026-05-18T00:58:08.890213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2f6ef2f789890acdb59471631a1bb13ca90563424a8f6008cab67d77956f7bb

Aliases

arxiv: cs/0601036 · arxiv_version: cs/0601036v1 · doi: 10.48550/arxiv.cs/0601036 · pith_short_12: YL3O6L3YTCIK · pith_short_16: YL3O6L3YTCIKZW2Z · pith_short_8: YL3O6L3Y

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/YL3O6L3YTCIKZW2ZI4LDDIN3CP \
  | 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: c2f6ef2f789890acdb59471631a1bb13ca90563424a8f6008cab67d77956f7bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a466b9259aa9f6cd08fbaa8fcca92d7e995c69f2b7f8a03b0f9a5cd1ed332c2",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2006-01-10T12:16:05Z",
    "title_canon_sha256": "8e4fd47fcaf84cf78981e4d2ae4f99444db667fa19ce79a8b734c58e9bacac15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0601036",
    "kind": "arxiv",
    "version": 1
  }
}