Pith Number

pith:UGYR62PN

pith:2013:UGYR62PNQ4TNEJA3JD2WV5GOSU

not attested not anchored not stored refs pending

O-notation in algorithm analysis

Kalle Rutanen

arxiv:1309.3210 v32 · 2013-09-12 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGYR62PNQ4TNEJA3JD2WV5GOSU}

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	2026-05-18T01:00:54.275124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1b11f69ed8726d2241b48f56af4ce951a1ef66b82d2413899637137d45ba3fc

Aliases

arxiv: 1309.3210 · arxiv_version: 1309.3210v32 · doi: 10.48550/arxiv.1309.3210 · pith_short_12: UGYR62PNQ4TN · pith_short_16: UGYR62PNQ4TNEJA3 · pith_short_8: UGYR62PN

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/UGYR62PNQ4TNEJA3JD2WV5GOSU \
  | 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: a1b11f69ed8726d2241b48f56af4ce951a1ef66b82d2413899637137d45ba3fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ba60f2694007a9e6abbdf9151747dca76b63696552d012c986557d6a36600fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-09-12T16:21:46Z",
    "title_canon_sha256": "5ed21b1be1296a9540e771a8a65702c95049fe22dbc2ad46bb7a22a34b462d2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3210",
    "kind": "arxiv",
    "version": 32
  }
}