Pith Number

pith:AP73VPXC

pith:2013:AP73VPXC2WOINE7VXOF4YPUFEP

not attested not anchored not stored refs pending

Element Distinctness, Frequency Moments, and Sliding Windows

Paul Beame, Raphael Clifford, Widad Machmouchi

arxiv:1309.3690 v1 · 2013-09-14 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AP73VPXC2WOINE7VXOF4YPUFEP}

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	2026-05-18T03:13:20.757138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03ffbabee2d59c8693f5bb8bcc3e8523df1e789d71a1008e1078c5f3f8873c49

Aliases

arxiv: 1309.3690 · arxiv_version: 1309.3690v1 · doi: 10.48550/arxiv.1309.3690 · pith_short_12: AP73VPXC2WOI · pith_short_16: AP73VPXC2WOINE7V · pith_short_8: AP73VPXC

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/AP73VPXC2WOINE7VXOF4YPUFEP \
  | 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: 03ffbabee2d59c8693f5bb8bcc3e8523df1e789d71a1008e1078c5f3f8873c49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0865d0c7e39d9256a51b99bbaec5c154ff14f7d2e31e34d6156434fbdd1c15f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-09-14T18:33:51Z",
    "title_canon_sha256": "9fa433681cca86248757f3093a37d62bfc4c1fd7ea6d342399acf294e1cb80d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3690",
    "kind": "arxiv",
    "version": 1
  }
}