Pith Number

pith:CMGPAAYD

pith:2014:CMGPAAYDAFYSKLEBQ2QKKDQQQC

not attested not anchored not stored refs pending

Space Lower Bounds for Itemset Frequency Sketches

Edo Liberty, Jonathan Ullman, Justin Thaler, Michael Mitzenmacher

arxiv:1407.3740 v4 · 2014-07-14 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMGPAAYDAFYSKLEBQ2QKKDQQQC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:19:22.360936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

130cf003030171252c8186a0a50e108084698ed14f7a2d53e9ddd87d1c4c1624

Aliases

arxiv: 1407.3740 · arxiv_version: 1407.3740v4 · doi: 10.48550/arxiv.1407.3740 · pith_short_12: CMGPAAYDAFYS · pith_short_16: CMGPAAYDAFYSKLEB · pith_short_8: CMGPAAYD

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/CMGPAAYDAFYSKLEBQ2QKKDQQQC \
  | 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: 130cf003030171252c8186a0a50e108084698ed14f7a2d53e9ddd87d1c4c1624

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8217172991a4604bf7de6ea3455a0c8c63ffec838491b2c122300d13f5c6af12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2014-07-14T17:41:26Z",
    "title_canon_sha256": "ec0961024e7d39120fa107bd3fb67d853c0f78c320951cf8b4ef702edbe29de4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3740",
    "kind": "arxiv",
    "version": 4
  }
}