pith. sign in
Pith Number

pith:VA3UKCT5

pith:2012:VA3UKCT53XLSUKJKU33NG5Z6EE
not attested not anchored not stored refs pending

Generation of binary words avoiding alternating patterns

Elisabetta Grazzini, Elisa Pergola, Renzo Pinzani, Stefano Bilotta

arxiv:1210.7620 v1 · 2012-10-29 · cs.DM · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VA3UKCT53XLSUKJKU33NG5Z6EE}

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 2026-05-18T03:42:09.325753Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a837450a7dddd72a292aa6f6d3773e211586827db710fa89d2020143b619b101

Aliases

arxiv: 1210.7620 · arxiv_version: 1210.7620v1 · doi: 10.48550/arxiv.1210.7620 · pith_short_12: VA3UKCT53XLS · pith_short_16: VA3UKCT53XLSUKJK · pith_short_8: VA3UKCT5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VA3UKCT53XLSUKJKU33NG5Z6EE \
  | 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: a837450a7dddd72a292aa6f6d3773e211586827db710fa89d2020143b619b101
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7565c1f7aaeb7e5dace3db3bbe58bbd427530ebe2ef8e528c8c85a2c86414a39",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-10-29T11:07:42Z",
    "title_canon_sha256": "c054beeef3949ef24e8caed2fea5bf4b2d1f8349e7d7f74b24b7da44e35e6f39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7620",
    "kind": "arxiv",
    "version": 1
  }
}