pith. sign in
Pith Number

pith:UWPNZJ7Z

pith:2012:UWPNZJ7ZTP5GGX5CJTCOLUBSQ5
not attested not anchored not stored refs pending

Linear-Space Substring Range Counting over Polylogarithmic Alphabets

Pawe{\l} Gawrychowski, Travis Gagie

arxiv:1202.3208 v1 · 2012-02-15 · cs.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UWPNZJ7ZTP5GGX5CJTCOLUBSQ5}

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 2026-05-18T04:02:14.392054Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a59edca7f99bfa635fa24cc4e5d032877e89d01fd5b8477c071bbe79a6c80453

Aliases

arxiv: 1202.3208 · arxiv_version: 1202.3208v1 · doi: 10.48550/arxiv.1202.3208 · pith_short_12: UWPNZJ7ZTP5G · pith_short_16: UWPNZJ7ZTP5GGX5C · pith_short_8: UWPNZJ7Z
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UWPNZJ7ZTP5GGX5CJTCOLUBSQ5 \
  | 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: a59edca7f99bfa635fa24cc4e5d032877e89d01fd5b8477c071bbe79a6c80453
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7d6f5652b3597a71a3219e3ecefc97d079a4a6d66c62b3e0b4b84fc5afd047f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-02-15T05:29:25Z",
    "title_canon_sha256": "e07c5cc3e84e7c07ff22d5cfb57770bf213dfc874c3e2934a3efe62c3998417b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3208",
    "kind": "arxiv",
    "version": 1
  }
}