Pith Number

pith:Z2YTNX4A

pith:2026:Z2YTNX4AGSWJO3ZRCCAG72RJAC

not attested not anchored not stored refs pending

The Binary Tree Mechanism is Optimal for Approximate Differentially Private Continual Counting

Kasper Green Larsen, Konstantina Bairaktari

arxiv:2607.00876 v1 · 2026-07-01 · cs.DS · cs.CR · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2YTNX4AGSWJO3ZRCCAG72RJAC}

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.

Cited by

1 paper in Pith

Costs of Arbitrary Real Matrix Factorizations for Pure-DP Continual Counting

Receipt and verification

First computed	2026-07-02T01:18:21.999767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceb136df8034ac976f3110806fea2900ac71b55b3ce6c10a7b0dec31583e24b6

Aliases

arxiv: 2607.00876 · arxiv_version: 2607.00876v1 · doi: 10.48550/arxiv.2607.00876 · pith_short_12: Z2YTNX4AGSWJ · pith_short_16: Z2YTNX4AGSWJO3ZR · pith_short_8: Z2YTNX4A

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/Z2YTNX4AGSWJO3ZRCCAG72RJAC \
  | 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: ceb136df8034ac976f3110806fea2900ac71b55b3ce6c10a7b0dec31583e24b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93dd58f5e5a8216f6dc2c8a0e3a09694ef6ec9c1f73dbcfb5864489c16193c1b",
    "cross_cats_sorted": [
      "cs.CR",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-01T12:38:33Z",
    "title_canon_sha256": "3a57c09cd87210560b9ccc47115e1b33507e2f7ddaa6294ffbb3550989b05f66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00876",
    "kind": "arxiv",
    "version": 1
  }
}