pith. sign in
Pith Number

pith:X3BSSPII

pith:2008:X3BSSPIIXW4HM2CAHV5BZY66BM
not attested not anchored not stored refs pending

Universal Cycles of Restricted Classes of Words

Anant Godbole, Arielle Leitner

arxiv:0808.1309 v2 · 2008-08-08 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{X3BSSPIIXW4HM2CAHV5BZY66BM}

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 2026-05-18T03:58:05.181990Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bec3293d08bdb87668403d7a1ce3de0b181c2a95f9c14926e8741de89d163629

Aliases

arxiv: 0808.1309 · arxiv_version: 0808.1309v2 · doi: 10.48550/arxiv.0808.1309 · pith_short_12: X3BSSPIIXW4H · pith_short_16: X3BSSPIIXW4HM2CA · pith_short_8: X3BSSPII
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/X3BSSPIIXW4HM2CAHV5BZY66BM \
  | 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: bec3293d08bdb87668403d7a1ce3de0b181c2a95f9c14926e8741de89d163629
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b06d2917b4c45dea166f2c73c39d371c0feaf03fbcf30b30d702dd18943f1279",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-08-08T21:29:12Z",
    "title_canon_sha256": "af0532c23c1be02e8b5e2bb880e94f86323c9af090e3f22af7b945f2a8b82472"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1309",
    "kind": "arxiv",
    "version": 2
  }
}